Geometric Theorems And Arithmetic Functions
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Geometric Theorems And Arithmetic Functions
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Author : József Sándor
language : en
Publisher: Infinite Study
Release Date : 2002
Geometric Theorems And Arithmetic Functions written by József Sándor and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Geometric Theorems And Arithmetic Functions
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Author : Jozsef Sandor
language : en
Publisher:
Release Date : 2002
Geometric Theorems And Arithmetic Functions written by Jozsef Sandor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Made available online by the Smarandache Notion Journal and the University of New Mexico - Gallup.
Geometric Theorems Diophantine Equations And Arithmetic Functions
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Author : J. Sándor
language : en
Publisher: Infinite Study
Release Date : 2002
Geometric Theorems Diophantine Equations And Arithmetic Functions written by J. Sándor and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Arithmetic functions categories.
Geometric Theorems Diophantine Equations And Arithmetic Functions
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Author : J. Sándor
language : en
Publisher:
Release Date : 2014-05-14
Geometric Theorems Diophantine Equations And Arithmetic Functions written by J. Sándor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Made available online by the Smarandache Notion Journal and the University of New Mexico - Gallup.
Arithmetic Geometry Over Global Function Fields
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Author : Gebhard Böckle
language : en
Publisher: Springer
Release Date : 2014-11-13
Arithmetic Geometry Over Global Function Fields written by Gebhard Böckle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-13 with Mathematics categories.
This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the construction of Mordell-Weil groups of high rank) and a state of the art survey of Geometric Iwasawa Theory explaining the recent proofs of various versions of the Main Conjecture, in the commutative and non-commutative settings.
Geometric Theorems And Arithmetic Functions
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Author : József Sándor
language : en
Publisher: Infinite Study
Release Date : 2002
Geometric Theorems And Arithmetic Functions written by József Sándor and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Problems And Theorems In Analysis
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Author : Georg Polya
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Problems And Theorems In Analysis written by Georg Polya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Problems And Theorems In Analysis Ii
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Author : George Polya
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Problems And Theorems In Analysis Ii written by George Polya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Few mathematical books are worth translating 50 years after original publication. Polyá-Szegö is one! It was published in German in 1924, and its English edition was widely acclaimed when it appeared in 1972. In the past, more of the leading mathematicians proposed and solved problems than today. Their collection of the best in analysis is a heritage of lasting value.
Elliptic Curves Modular Forms And Their L Functions
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Author : Álvaro Lozano-Robledo
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Elliptic Curves Modular Forms And Their L Functions written by Álvaro Lozano-Robledo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, $\frac{3344161}{747348}$, and $\frac{2244035177043369699245575130906674863160948472041} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.
Modular Forms And Fermat S Last Theorem
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Author : Gary Cornell
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Modular Forms And Fermat S Last Theorem written by Gary Cornell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.