Absolute CM-Periods

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821834533
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Absolute CM-Periods by : Hiroyuki Yoshida

Download or read book Absolute CM-Periods written by Hiroyuki Yoshida and published by American Mathematical Soc.. This book was released on 2003 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book is an invariant attached to an ideal class of a totally real algebraic number field. This invariant provides us a unified understanding of periods of abelian varieties with complex multiplication and the Stark-Shintani units. This is a new point of view, and the book contains many new results related to it. To place these results in proper perspective and to supply tools to attack unsolved problems, the author gives systematic expositions of fundamental topics. Thus the book treats the multiple gamma function, the Stark conjecture, Shimura's period symbol, the absolute period symbol, Eisenstein series on sGL(2)s, and a limit formula of Kronecker's type. The discussion of each of these topics is enhanced by many examples. The majority of the text is written assuming some familiarity with algebraic number theory. About thirty problems are included, some of which are quite challenging. The book is intended for graduate students and researchers working in number theory and automorphic forms.

Arithmetic Geometry And Number Theory

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Author :
Publisher : World Scientific
ISBN 13 : 9814477931
Total Pages : 411 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Arithmetic Geometry And Number Theory by : Lin Weng

Download or read book Arithmetic Geometry And Number Theory written by Lin Weng and published by World Scientific. This book was released on 2006-06-02 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of special values of zetas over finite fields. In addition, the lecture notes presented by Weng at the University of Toronto from October to November 2005 explain basic ideas and the reasons (not just the language and conclusions) behind Langlands' fundamental, yet notably difficult, works on the Eisenstein series and spectral decompositions.And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.

Life Cycle Analysis and Assessment in Civil Engineering: Towards an Integrated Vision

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Publisher : CRC Press
ISBN 13 : 1351857576
Total Pages : 3160 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Life Cycle Analysis and Assessment in Civil Engineering: Towards an Integrated Vision by : Robby Caspeele

Download or read book Life Cycle Analysis and Assessment in Civil Engineering: Towards an Integrated Vision written by Robby Caspeele and published by CRC Press. This book was released on 2018-10-31 with total page 3160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at IALCCE2018, the Sixth International Symposium on Life-Cycle Civil Engineering (IALCCE2018), held in Ghent, Belgium, October 28-31, 2018. It consists of a book of extended abstracts and a USB device with full papers including the Fazlur R. Khan lecture, 8 keynote lectures, and 390 technical papers from all over the world. Contributions relate to design, inspection, assessment, maintenance or optimization in the framework of life-cycle analysis of civil engineering structures and infrastructure systems. Life-cycle aspects that are developed and discussed range from structural safety and durability to sustainability, serviceability, robustness and resilience. Applications relate to buildings, bridges and viaducts, highways and runways, tunnels and underground structures, off-shore and marine structures, dams and hydraulic structures, prefabricated design, infrastructure systems, etc. During the IALCCE2018 conference a particular focus is put on the cross-fertilization between different sub-areas of expertise and the development of an overall vision for life-cycle analysis in civil engineering. The aim of the editors is to provide a valuable source of cutting edge information for anyone interested in life-cycle analysis and assessment in civil engineering, including researchers, practising engineers, consultants, contractors, decision makers and representatives from local authorities.

USMLE Step 1 Lecture Notes 2017: Physiology

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Publisher : Simon and Schuster
ISBN 13 : 150620953X
Total Pages : 449 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis USMLE Step 1 Lecture Notes 2017: Physiology by : Kaplan Medical

Download or read book USMLE Step 1 Lecture Notes 2017: Physiology written by Kaplan Medical and published by Simon and Schuster. This book was released on 2017-02-07 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only official Kaplan Lecture Notes for USMLE Step 1 cover the comprehensive information you need to ace the exam and match into the residency of your choice. * Up-to-date: Updated annually by Kaplan’s all-star faculty * Integrated: Packed with clinical correlations and bridges between disciplines * Learner-efficient: Organized in outline format with high-yield summary boxes * Trusted: Used by thousands of students each year to succeed on USMLE Step 1

Geological Survey Professional Paper

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Author :
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Geological Survey Professional Paper by :

Download or read book Geological Survey Professional Paper written by and published by . This book was released on 1979 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 884 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology of Closed One-forms

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821835319
Total Pages : 246 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology of Closed One-forms by : Michael Farber

Download or read book Topology of Closed One-forms written by Michael Farber and published by American Mathematical Soc.. This book was released on 2004 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an introduction to the fascinating field of the topology, geometry and dynamics of closed one-forms. The subject was initiated by S. P. Novikov in 1981 as a study of Morse type zeros of closed one-forms. The first two chapters of the book, written in textbook style, give a detailed exposition of Novikov theory, which plays a fundamental role in geometry and topology. Subsequent chapters of the book present a variety of topics where closed one-forms play a central role. The most significant results are the following: the solution of the problem of exactness of the Novikov inequalities for manifolds with the infinite cyclic fundamental group; the solution of a problem raised by E. Calabi about intrinsically harmonic closed one-forms and their Morse numbers; and, the construction of a universal chain complex which bridges the topology of the underlying manifold with information about zeros of closed one-forms.This complex implies many interesting inequalities including Bott-type inequalities, equivariant inequalities, and inequalities involving von Neumann Betti numbers. The construction of a novel Lusternik-Schnirelman-type theory for dynamical systems. Closed one-forms appear in dynamics through the concept of a Lyapunov one-form of a flow. As is shown in the book, homotopy theory may be used to predict the existence of homoclinic orbits and homoclinic cycles in dynamical systems ('focusing effect').

Painlevé Transcendents

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Publisher : American Mathematical Society
ISBN 13 : 1470475561
Total Pages : 570 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Painlevé Transcendents by : Athanassios S. Fokas

Download or read book Painlevé Transcendents written by Athanassios S. Fokas and published by American Mathematical Society. This book was released on 2023-11-20 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the turn of the twentieth century, the French mathematician Paul Painlevé and his students classified second order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of their solutions does not depend on initial conditions. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painlevé I–VI. Although these equations were initially obtained answering a strictly mathematical question, they appeared later in an astonishing (and growing) range of applications, including, e.g., statistical physics, fluid mechanics, random matrices, and orthogonal polynomials. Actually, it is now becoming clear that the Painlevé transcendents (i.e., the solutions of the Painlevé equations) play the same role in nonlinear mathematical physics that the classical special functions, such as Airy and Bessel functions, play in linear physics. The explicit formulas relating the asymptotic behaviour of the classical special functions at different critical points play a crucial role in the applications of these functions. It is shown in this book that even though the six Painlevé equations are nonlinear, it is still possible, using a new technique called the Riemann-Hilbert formalism, to obtain analogous explicit formulas for the Painlevé transcendents. This striking fact, apparently unknown to Painlevé and his contemporaries, is the key ingredient for the remarkable applicability of these “nonlinear special functions”. The book describes in detail the Riemann-Hilbert method and emphasizes its close connection to classical monodromy theory of linear equations as well as to modern theory of integrable systems. In addition, the book contains an ample collection of material concerning the asymptotics of the Painlevé functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painlevé equations and related areas.

Classifying Spaces of Sporadic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844741
Total Pages : 310 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classifying Spaces of Sporadic Groups by : David J. Benson

Download or read book Classifying Spaces of Sporadic Groups written by David J. Benson and published by American Mathematical Soc.. This book was released on 2008 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.

Random Walk Intersections

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848208
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Random Walk Intersections by : Xia Chen

Download or read book Random Walk Intersections written by Xia Chen and published by American Mathematical Soc.. This book was released on 2010 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Involves important and non-trivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry.

Polynomial Identities and Asymptotic Methods

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Publisher : American Mathematical Soc.
ISBN 13 : 0821838296
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Polynomial Identities and Asymptotic Methods by : A. Giambruno

Download or read book Polynomial Identities and Asymptotic Methods written by A. Giambruno and published by American Mathematical Soc.. This book was released on 2005 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a state of the art approach to the study of polynomial identities satisfied by a given algebra by combining methods of ring theory, combinatorics, and representation theory of groups with analysis. The idea of applying analytical methods to the theory of polynomial identities appeared in the early 1970s and this approach has become one of the most powerful tools of the theory. A PI-algebra is any algebra satisfying at least one nontrivial polynomial identity. This includes the polynomial rings in one or several variables, the Grassmann algebra, finite-dimensional algebras, and many other algebras occurring naturally in mathematics. The core of the book is the proof that the sequence of co-dimensions of any PI-algebra has integral exponential growth - the PI-exponent of the algebra. Later chapters further apply these results to subjects such as a characterization of varieties of algebras having polynomial growth and a classification of varieties that are minimal for a given exponent.

Algebraic Geometric Codes: Basic Notions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821843060
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Geometric Codes: Basic Notions by : Michael A. Tsfasman

Download or read book Algebraic Geometric Codes: Basic Notions written by Michael A. Tsfasman and published by American Mathematical Soc.. This book was released on 2007 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. on one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc. The authors give a unique perspective on the subject. Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almostalways finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory. There are no prerequisites other than a standard algebra graduate course. The first two chapters of the book can serve as anintroduction to coding theory and algebraic geometry respectively. Special attention is given to the geometry of curves over finite fields in the third chapter. Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes.

Large Deviations for Stochastic Processes

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Publisher : American Mathematical Soc.
ISBN 13 : 1470418703
Total Pages : 426 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Large Deviations for Stochastic Processes by : Jin Feng

Download or read book Large Deviations for Stochastic Processes written by Jin Feng and published by American Mathematical Soc.. This book was released on 2015-02-03 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the results on large deviations for a class of stochastic processes. Following an introduction and overview, the material is presented in three parts. Part 1 gives necessary and sufficient conditions for exponential tightness that are analogous to conditions for tightness in the theory of weak convergence. Part 2 focuses on Markov processes in metric spaces. For a sequence of such processes, convergence of Fleming's logarithmically transformed nonlinear semigroups is shown to imply the large deviation principle in a manner analogous to the use of convergence of linear semigroups in weak convergence. Viscosity solution methods provide applicable conditions for the necessary convergence. Part 3 discusses methods for verifying the comparison principle for viscosity solutions and applies the general theory to obtain a variety of new and known results on large deviations for Markov processes. In examples concerning infinite dimensional state spaces, new comparison principles are derived for a class of Hamilton-Jacobi equations in Hilbert spaces and in spaces of probability measures.

Harmonic Analysis on Commutative Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842897
Total Pages : 408 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Analysis on Commutative Spaces by : Joseph Albert Wolf

Download or read book Harmonic Analysis on Commutative Spaces written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 2007 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.

Arithmetic Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821838628
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Arithmetic Differential Equations by : Alexandru Buium

Download or read book Arithmetic Differential Equations written by Alexandru Buium and published by American Mathematical Soc.. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.

Periods of Hecke Characters

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Publisher : Springer
ISBN 13 : 3540388427
Total Pages : 175 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Periods of Hecke Characters by : Norbert Schappacher

Download or read book Periods of Hecke Characters written by Norbert Schappacher and published by Springer. This book was released on 2006-11-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply.

Solid State Division Semiannual Progress Report for Period Ending ...

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Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis Solid State Division Semiannual Progress Report for Period Ending ... by : Oak Ridge National Laboratory. Solid State Division

Download or read book Solid State Division Semiannual Progress Report for Period Ending ... written by Oak Ridge National Laboratory. Solid State Division and published by . This book was released on 1945 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: