Advances On Superelliptic Curves And Their Applications

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Advances on Superelliptic Curves and Their Applications

Author : L. Beshaj
Publisher : IOS Press
ISBN 13 : 1614995206
Total Pages : 387 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Advances on Superelliptic Curves and Their Applications by : L. Beshaj

Download or read book Advances on Superelliptic Curves and Their Applications written by L. Beshaj and published by IOS Press. This book was released on 2015-07-16 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves.

Algebraic Curves and Their Applications

Author : Lubjana Beshaj
Publisher : American Mathematical Soc.
ISBN 13 : 1470442477
Total Pages : 358 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebraic Curves and Their Applications by : Lubjana Beshaj

Download or read book Algebraic Curves and Their Applications written by Lubjana Beshaj and published by American Mathematical Soc.. This book was released on 2019-02-26 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more. Papers cover topics such as the rational torsion points of elliptic curves, arithmetic statistics in the moduli space of curves, combinatorial descriptions of semistable hyperelliptic curves over local fields, heights on weighted projective spaces, automorphism groups of curves, hyperelliptic curves, dessins d'enfants, applications to Painlevé equations, descent on real algebraic varieties, quadratic residue codes based on hyperelliptic curves, and Abelian varieties and cryptography. This book will be a valuable resource for people interested in algebraic curves and their connections to other branches of mathematics.

Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Author : Andreas Malmendier
Publisher : American Mathematical Soc.
ISBN 13 : 1470428563
Total Pages : 234 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Higher Genus Curves in Mathematical Physics and Arithmetic Geometry by : Andreas Malmendier

Download or read book Higher Genus Curves in Mathematical Physics and Arithmetic Geometry written by Andreas Malmendier and published by American Mathematical Soc.. This book was released on 2018-04-03 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both mathematical physics and arithmetic geometry. This volume focuses on the role of higher genus curves; in particular, hyperelliptic and superelliptic curves in algebraic geometry and mathematical physics. The articles in this volume investigate the automorphism groups of curves and superelliptic curves and results regarding integral points on curves and their applications in mirror symmetry. Moreover, geometric subjects are addressed, such as elliptic 3 surfaces over the rationals, the birational type of Hurwitz spaces, and links between projective geometry and abelian functions.

Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics

Author : Aaron Wootton
Publisher : American Mathematical Society
ISBN 13 : 1470460254
Total Pages : 366 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics by : Aaron Wootton

Download or read book Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics written by Aaron Wootton and published by American Mathematical Society. This book was released on 2022-02-03 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.

Nonlinear Analysis, Geometry and Applications

Author : Diaraf Seck
Publisher : Springer Nature
ISBN 13 : 3031046161
Total Pages : 525 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Analysis, Geometry and Applications by : Diaraf Seck

Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Springer Nature. This book was released on 2022-10-09 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers twenty-two papers presented at the second NLAGA-BIRS Symposium, which was held at Cap Skirring and at the Assane Seck University in Ziguinchor, Senegal, on January 25–30, 2022. The five-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometric analysis, geometric structures, dynamics, optimization, inverse problems, complex analysis, algebra, algebraic geometry, control theory, stochastic approximations, and modelling.

Combinatorics, Graph Theory and Computing

Author : Frederick Hoffman
Publisher : Springer Nature
ISBN 13 : 3031529693
Total Pages : 491 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Combinatorics, Graph Theory and Computing by : Frederick Hoffman

Download or read book Combinatorics, Graph Theory and Computing written by Frederick Hoffman and published by Springer Nature. This book was released on with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic Geometry, Number Theory, and Computation

Author : Jennifer S. Balakrishnan
Publisher : Springer Nature
ISBN 13 : 3030809145
Total Pages : 587 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Arithmetic Geometry, Number Theory, and Computation by : Jennifer S. Balakrishnan

Download or read book Arithmetic Geometry, Number Theory, and Computation written by Jennifer S. Balakrishnan and published by Springer Nature. This book was released on 2022-03-15 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include● algebraic varieties over finite fields● the Chabauty-Coleman method● modular forms● rational points on curves of small genus● S-unit equations and integral points.

Intelligent Computing

Author : Kohei Arai
Publisher : Springer
ISBN 13 : 3030228681
Total Pages : 1311 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Intelligent Computing by : Kohei Arai

Download or read book Intelligent Computing written by Kohei Arai and published by Springer. This book was released on 2019-07-08 with total page 1311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the Computing Conference 2019, providing a comprehensive collection of chapters focusing on core areas of computing and their real-world applications. Computing is an extremely broad discipline, encompassing a range of specialized fields, each focusing on particular areas of technology and types of application, and the conference offered pioneering researchers, scientists, industrial engineers, and students from around the globe a platform to share new ideas and development experiences. Providing state-of-the-art intelligent methods and techniques for solving real- world problems, the book inspires further research and technological advances in this important area.

Arithmetic L-Functions and Differential Geometric Methods

Author : Pierre Charollois
Publisher : Springer Nature
ISBN 13 : 3030652033
Total Pages : 324 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Arithmetic L-Functions and Differential Geometric Methods by : Pierre Charollois

Download or read book Arithmetic L-Functions and Differential Geometric Methods written by Pierre Charollois and published by Springer Nature. This book was released on 2021-05-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are: • Additive polylogarithms • Analytic torsions • Chabauty-Kim theory • Local Grothendieck-Riemann-Roch theorems • Periods • Syntomic regulator The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.

Finite Fields and Applications

Author : Gary L. Mullen
Publisher : American Mathematical Soc.
ISBN 13 : 0821843095
Total Pages : 278 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Finite Fields and Applications by : Gary L. Mullen

Download or read book Finite Fields and Applications written by Gary L. Mullen and published by American Mathematical Soc.. This book was released on 2008 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields.Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorialdesign theory.

Handbook of Discrete and Combinatorial Mathematics

Author : Kenneth H. Rosen
Publisher : CRC Press
ISBN 13 : 135164405X
Total Pages : 1611 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Handbook of Discrete and Combinatorial Mathematics by : Kenneth H. Rosen

Download or read book Handbook of Discrete and Combinatorial Mathematics written by Kenneth H. Rosen and published by CRC Press. This book was released on 2017-10-19 with total page 1611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.

Advances in Cryptology — ASIACRYPT 2001

Author : Colin Boyd
Publisher : Springer
ISBN 13 : 3540456821
Total Pages : 614 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advances in Cryptology — ASIACRYPT 2001 by : Colin Boyd

Download or read book Advances in Cryptology — ASIACRYPT 2001 written by Colin Boyd and published by Springer. This book was released on 2003-06-30 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of the Asiacrypt series of conferences can be traced back to 1990, when the ?rst Auscrypt conference was held, although the name Asiacrypt was ?rst used for the 1991 conference in Japan. Starting with Asiacrypt 2000, the conference is now one of three annual conferences organized by the Inter- tional Association for Cryptologic Research (IACR). The continuing success of Asiacrypt is in no small part due to the e?orts of the Asiacrypt Steering C- mittee (ASC) and the strong support of the IACR Board of Directors. There were 153 papers submitted to Asiacrypt 2001 and 33 of these were accepted for inclusion in these proceedings. The authors of every paper, whether accepted or not, made a valued contribution to the success of the conference. Sending out rejection noti?cations to so many hard working authors is one of the most unpleasant tasks of the Program Chair. The review process lasted some 10 weeks and consisted of an initial refe- eing phase followed by an extensive discussion period. My heartfelt thanks go to all members of the Program Committee who put in extreme amounts of time to give their expert analysis and opinions on the submissions. All papers were reviewed by at least three committee members; in many cases, particularly for those papers submitted by committee members, additional reviews were obt- ned. Specialist reviews were provided by an army of external reviewers without whom our decisions would have been much more di?cult.

Advances in Elliptic Curve Cryptography

Author : Ian F. Blake
Publisher : Cambridge University Press
ISBN 13 : 9781139441223
Total Pages : 308 pages
Book Rating : 4.4/5 (412 download)

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Book Synopsis Advances in Elliptic Curve Cryptography by : Ian F. Blake

Download or read book Advances in Elliptic Curve Cryptography written by Ian F. Blake and published by Cambridge University Press. This book was released on 2005-04-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.

Advances in Cryptology - CRYPTO 2002

Author : Moti Yung
Publisher : Springer
ISBN 13 : 3540457089
Total Pages : 643 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advances in Cryptology - CRYPTO 2002 by : Moti Yung

Download or read book Advances in Cryptology - CRYPTO 2002 written by Moti Yung and published by Springer. This book was released on 2003-08-02 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crypto 2002, the 22nd Annual Crypto Conference, was sponsored by IACR, the International Association for Cryptologic Research, in cooperation with the IEEE Computer Society Technical Committee on Security and Privacy and the Computer Science Department of the University of California at Santa Barbara. It is published as Vol. 2442 of the Lecture Notes in Computer Science (LNCS) of Springer Verlag. Note that 2002, 22 and 2442 are all palindromes... (Don’t nod!) Theconferencereceived175submissions,ofwhich40wereaccepted;twos- missionsweremergedintoasinglepaper,yieldingthetotalof39papersaccepted for presentation in the technical program of the conference. In this proceedings volume you will ?nd the revised versions of the 39 papers that were presented at the conference. The submissions represent the current state of work in the cryptographic community worldwide, covering all areas of cryptologic research. In fact, many high-quality works (that surely will be published elsewhere) could not be accepted. This is due to the competitive nature of the conference and the challenging task of selecting a program. I wish to thank the authors of all submitted papers. Indeed, it is the authors of all papers who have made this conference possible, regardless of whether or not their papers were accepted. The conference program was also immensely bene?ted by two plenary talks.

Advances in Cryptology - ASIACRYPT'99

Author : Kwok Yan Lam
Publisher : Springer
ISBN 13 : 3540480005
Total Pages : 426 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advances in Cryptology - ASIACRYPT'99 by : Kwok Yan Lam

Download or read book Advances in Cryptology - ASIACRYPT'99 written by Kwok Yan Lam and published by Springer. This book was released on 2004-03-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asiacrypt’99 was held in Singapore on 14-18 November 1999. Asiacrypt is one of the major events in the cryptology research community. Asiacrypt’99, the ?fth annual Asiacrypt conference, was sponsored by the Asiacrypt Steering Comm- tee and the Centre for Systems Security of the National University of Singapore, and in cooperation with the International Association for Cryptology Research. As the Program Co-Chairs of Asiacrypt’99, we are extremely honored to or- nize this event, which showcases the state-of-the-art development of cryptology research at the conclusion of this millennium. This year, a total of 96 research papers were submitted to Asiacrypt’99. The portfolio of country of origin of submissions serves as a good indicator of the - ternational reputation of the conference. Countries from which submissions or- inated include: Australia, Belgium, China, Estonia, France, Germany, Greece, India, Iran, Japan, Korea, Norway, Russia, Saudi Arabia, Switzerland, Sin- pore, Spain, Taiwan, Thailand, The Netherlands, Turkey, Ukraine, UK, USA and Yugoslavia. Through a stringent refereeing process by the Program C- mittee, 31 papers of outstanding quality were accepted and are included in the conference proceedings. Accepted papers were authored by researchers from the following countries: Australia, Belgium, France, Germany, India, Japan, China, Singapore, Switzerland, Taiwan, The Netherlands, UK, and USA.

Recent Application in Biometrics

Author : Jucheng Yang
Publisher : BoD – Books on Demand
ISBN 13 : 9533074884
Total Pages : 318 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Recent Application in Biometrics by : Jucheng Yang

Download or read book Recent Application in Biometrics written by Jucheng Yang and published by BoD – Books on Demand. This book was released on 2011-07-27 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent years, a number of recognition and authentication systems based on biometric measurements have been proposed. Algorithms and sensors have been developed to acquire and process many different biometric traits. Moreover, the biometric technology is being used in novel ways, with potential commercial and practical implications to our daily activities. The key objective of the book is to provide a collection of comprehensive references on some recent theoretical development as well as novel applications in biometrics. The topics covered in this book reflect well both aspects of development. They include biometric sample quality, privacy preserving and cancellable biometrics, contactless biometrics, novel and unconventional biometrics, and the technical challenges in implementing the technology in portable devices. The book consists of 15 chapters. It is divided into four sections, namely, biometric applications on mobile platforms, cancelable biometrics, biometric encryption, and other applications. The book was reviewed by editors Dr. Jucheng Yang and Dr. Norman Poh. We deeply appreciate the efforts of our guest editors: Dr. Girija Chetty, Dr. Loris Nanni, Dr. Jianjiang Feng, Dr. Dongsun Park and Dr. Sook Yoon, as well as a number of anonymous reviewers.

Algorithmic Number Theory

Author : Claus Fieker
Publisher : Springer
ISBN 13 : 3540454551
Total Pages : 526 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algorithmic Number Theory by : Claus Fieker

Download or read book Algorithmic Number Theory written by Claus Fieker and published by Springer. This book was released on 2003-08-02 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002. The 34 revised full papers presented together with 5 invited papers have gone through a thorough round of reviewing, selection and revision. The papers are organized in topical sections on number theory, arithmetic geometry, elliptic curves and CM, point counting, cryptography, function fields, discrete logarithms and factoring, Groebner bases, and complexity.