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Class Number Parity
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Book Synopsis Class Number Parity by : Pierre E. Conner
Download or read book Class Number Parity written by Pierre E. Conner and published by World Scientific. This book was released on 1988 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and ramification for relative extensions of number fields. It includes a large collection of fundamental classical examples, dealing in particular with relative quadratic extensions as well as relative cyclic extensions of odd prime degree. The unified approach is exclusively algebraic in nature.
Book Synopsis On the Class Number of Abelian Number Fields by : Helmut Hasse
Download or read book On the Class Number of Abelian Number Fields written by Helmut Hasse and published by Springer. This book was released on 2019-04-23 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this translation, the classic monograph Über die Klassenzahl abelscher Zahlkörper by Helmut Hasse is now available in English for the first time. The book addresses three main topics: class number formulas for abelian number fields; expressions of the class number of real abelian number fields by the index of the subgroup generated by cyclotomic units; and the Hasse unit index of imaginary abelian number fields, the integrality of the relative class number formula, and the class number parity. Additionally, the book includes reprints of works by Ken-ichi Yoshino and Mikihito Hirabayashi, which extend the tables of Hasse unit indices and the relative class numbers to imaginary abelian number fields with conductor up to 100. The text provides systematic and practical methods for deriving class number formulas, determining the unit index and calculating the class number of abelian number fields. A wealth of illustrative examples, together with corrections and remarks on the original work, make this translation a valuable resource for today’s students of and researchers in number theory.
Book Synopsis Algebraic Number Theory and Diophantine Analysis by : F. Halter-Koch
Download or read book Algebraic Number Theory and Diophantine Analysis written by F. Halter-Koch and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Book Synopsis Elementary and Analytic Theory of Algebraic Numbers by : Wladyslaw Narkiewicz
Download or read book Elementary and Analytic Theory of Algebraic Numbers written by Wladyslaw Narkiewicz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.
Book Synopsis $K$-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras by : Bill Jacob
Download or read book $K$-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras written by Bill Jacob and published by American Mathematical Soc.. This book was released on 1995 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 of two - also available in a set of both volumes.
Book Synopsis Class Field Theory by : Georges Gras
Download or read book Class Field Theory written by Georges Gras and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book.
Book Synopsis New Frontiers in Number Theory and Applications by : Jordi Guàrdia
Download or read book New Frontiers in Number Theory and Applications written by Jordi Guàrdia and published by Springer Nature. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Arithmetic of Function Fields by : David Goss
Download or read book The Arithmetic of Function Fields written by David Goss and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Book Synopsis Encyclopedia of Algorithms by : Ming-Yang Kao
Download or read book Encyclopedia of Algorithms written by Ming-Yang Kao and published by Springer Science & Business Media. This book was released on 2008-08-06 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.
Download or read book Number Theory written by Sinnou David and published by Cambridge University Press. This book was released on 1995-05-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourteenth annual volume arising from the Seminaire de Theorie de Nombres de Paris covering the whole spectrum of number theory.
Book Synopsis Congruences for L-Functions by : J. Urbanowicz
Download or read book Congruences for L-Functions written by J. Urbanowicz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2. Their congruence provided a unified setting for many congruences proved previously by other authors using various means. The Hardy-Williams idea was as follows. Let d be the discriminant of a quadratic field. Suppose that d is odd and let d = PIP2· . . Pn be its unique decomposition into prime discriminants. Then, for any positive integer k coprime with d, the congruence holds trivially as each Legendre-Jacobi-Kronecker symbol (~) has the value + 1 or -1. Expanding this product gives ~ eld e:=l (mod4) where e runs through the positive and negative divisors of d and v (e) denotes the number of distinct prime factors of e. Summing this congruence for o
Book Synopsis Algebraic K-Theory: Connections with Geometry and Topology by : John F. Jardine
Download or read book Algebraic K-Theory: Connections with Geometry and Topology written by John F. Jardine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NATO Advanced Study Institute entitled "Algebraic K-theory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987. This meeting was jointly supported by NATO and the Natural Sciences and Engineering Research Council of Canada, and was sponsored in part by the Canadian Mathematical Society. This book is the volume of proceedings for that meeting. Algebraic K-theory is essentially the study of homotopy invariants arising from rings and their associated matrix groups. More importantly perhaps, the subject has become central to the study of the relationship between Topology, Algebraic Geometry and Number Theory. It draws on all of these fields as a subject in its own right, but it serves as well as an effective translator for the application of concepts from one field in another. The papers in this volume are representative of the current state of the subject. They are, for the most part, research papers which are primarily of interest to researchers in the field and to those aspiring to be such. There is a section on problems in this volume which should be of particular interest to students; it contains a discussion of the problems from Gersten's well-known list of 1973, as well as a short list of new problems.
Author :Lawrence C. Washington Publisher :Springer Science & Business Media ISBN 13 :1461219345 Total Pages :504 pages Book Rating :4.4/5 (612 download)
Book Synopsis Introduction to Cyclotomic Fields by : Lawrence C. Washington
Download or read book Introduction to Cyclotomic Fields written by Lawrence C. Washington and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat’s Last Theorem, and Iwasawa’s theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture, as well as a chapter on other recent developments, such as primality testing via Jacobi sums and Sinnott’s proof of the vanishing of Iwasawa’s f-invariant.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1989-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups by : Alexander J. Hahn
Download or read book Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups written by Alexander J. Hahn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadratic Algebras, Clifford Algebras, and Arithmetic Forms introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings. The book begins very elementary and progresses gradually in its degree of difficulty. Topics include the connection between quadratic algebras, Clifford algebras and quadratic forms, Brauer groups, the matrix theory of Clifford algebras over fields, Witt groups of quadratic and symmetric bilinear forms. Some of the new results included by the author concern the representation of Clifford algebras, the structure of Arf algebra in the free case, connections between the group of isomorphic classes of finitely generated projectives of rank one and arithmetic results about the quadratic Witt group.
Book Synopsis The Children of Atomic Bomb Survivors by : National Research Council
Download or read book The Children of Atomic Bomb Survivors written by National Research Council and published by National Academies Press. This book was released on 1991-02-01 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do persons exposed to radiation suffer genetic effects that threaten their yet-to-be-born children? Researchers are concluding that the genetic risks of radiation are less than previously thought. This finding is explored in this volume about the children of atomic bomb survivors in Hiroshima and Nagasakiâ€"the population that can provide the greatest insight into this critical issue. Assembled here for the first time are papers representing more than 40 years of research. These documents reveal key results related to radiation's effects on pregnancy termination, sex ratio, congenital defects, and early mortality of children. Edited by two of the principal architects of the studies, J. V. Neel and W. J. Schull, the volume also offers an important comparison with studies of the genetic effects of radiation on mice. The wealth of technical details will be immediately useful to geneticists and other specialists. Policymakers will be interested in the overall conclusions and discussion of future studies.
Author :United States. Congress. Senate. Select Committee on Small Business. Subcommittee on Monopoly Publisher : ISBN 13 : Total Pages :510 pages Book Rating :4.0/5 (18 download)
Book Synopsis Competitive Problems in the Drug Industry by : United States. Congress. Senate. Select Committee on Small Business. Subcommittee on Monopoly
Download or read book Competitive Problems in the Drug Industry written by United States. Congress. Senate. Select Committee on Small Business. Subcommittee on Monopoly and published by . This book was released on 1970 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
