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Analytic Arithmetic in Algebraic Number Fields, Baruch Z. Moroz


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Автор: Baruch Z. Moroz
Название:  Analytic Arithmetic in Algebraic Number Fields
ISBN: 9783540167846
Издательство: Springer
Классификация:
ISBN-10: 3540167846
Обложка/Формат: Paperback
Страницы: 180
Вес: 0.28 кг.
Дата издания: 01.08.1986
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 156 x 10
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии

Algebraic Number Theory

Автор: Neukirch
Название: Algebraic Number Theory
ISBN: 3540653996 ISBN-13(EAN): 9783540653998
Издательство: Springer
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Цена: 111790.00 T
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Описание: Aims to provide an introduction to algebraic number theory, which is largely based on the conception of (one-dimensional) arithmetic algebraic geometry. This book discusses the classical concepts from the viewpoint of Arakelov theory. It concludes with a chapter on zeta-functions and L-series.

Contributions in Analytic and Algebraic Number Theory

Автор: Valentin Blomer; Preda Mih?ilescu
Название: Contributions in Analytic and Algebraic Number Theory
ISBN: 1489991581 ISBN-13(EAN): 9781489991584
Издательство: Springer
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Цена: 172350.00 T
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Описание: The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry.

The Theory of Algebraic Number Fields

Автор: David Hilbert; F. Lemmermeyer; I.T. Adamson; N. Sc
Название: The Theory of Algebraic Number Fields
ISBN: 3642083064 ISBN-13(EAN): 9783642083068
Издательство: Springer
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Цена: 83850.00 T
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Описание: Constance Reid, in Chapter VII of her book Hilbert, tells the story of the writing of the Zahlbericht, as his report entitled Die Theorie der algebra is- chen Zahlkorper has always been known. At its annual meeting in 1893 the Deutsche Mathematiker-Vereinigung (the German Mathematical Society) invited Hilbert and Minkowski to prepare a report on the current state of affairs in the theory of numbers, to be completed in two years. The two mathematicians agreed that Minkowski should write about rational number theory and Hilbert about algebraic number theory. Although Hilbert had almost completed his share of the report by the beginning of 1896 Minkowski had made much less progress and it was agreed that he should withdraw from his part of the project. Shortly afterwards Hilbert finished writing his report on algebraic number fields and the manuscript, carefully copied by his wife, was sent to the printers. The proofs were read by Minkowski, aided in part by Hurwitz, slowly and carefully, with close attention to the mathematical exposition as well as to the type-setting; at Minkowski's insistence Hilbert included a note of thanks to his wife. As Constance Reid writes, "The report on algebraic number fields exceeded in every way the expectation of the members of the Mathemati- cal Society. They had asked for a summary of the current state of affairs in the theory. They received a masterpiece, which simply and clearly fitted all the difficult developments of recent times into an elegantly integrated theory.

Diophantine Equations and Inequalities in Algebraic Number Fields

Автор: Yuan Wang
Название: Diophantine Equations and Inequalities in Algebraic Number Fields
ISBN: 3642634893 ISBN-13(EAN): 9783642634895
Издательство: Springer
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Цена: 46570.00 T
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Описание: The circle method has its genesis in a paper of Hardy and Ramanujan (see Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep- resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad- ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the Hardy-Littlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s( k) such that every positive integer N is representable as (1) where Xi arenon-negative integers. This assertion wasfirst proved by Hilbert 1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k - 2)2 - +5. Here

Algebraic Geometry and Arithmetic Curves

Автор: Liu, Qing
Название: Algebraic Geometry and Arithmetic Curves
ISBN: 0199202494 ISBN-13(EAN): 9780199202492
Издательство: Oxford Academ
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Цена: 80250.00 T
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Описание: This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

Arithmetic of Higher-Dimensional Algebraic Varieties

Автор: Bjorn Poonen; Yuri Tschinkel
Название: Arithmetic of Higher-Dimensional Algebraic Varieties
ISBN: 1461264715 ISBN-13(EAN): 9781461264712
Издательство: Springer
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Цена: 83850.00 T
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Описание: This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties.

Analytic, Algebraic and Geometric Aspects of Differential Equations

Автор: Galina Filipuk; Yoshishige Haraoka; S?awomir Micha
Название: Analytic, Algebraic and Geometric Aspects of Differential Equations
ISBN: 3319528416 ISBN-13(EAN): 9783319528410
Издательство: Springer
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Цена: 149060.00 T
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Описание: Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainlevй VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.

Arithmetic Geometry over Global Function Fields

Автор: Gebhard B?ckle; David Burns; David Goss; Dinesh Th
Название: Arithmetic Geometry over Global Function Fields
ISBN: 3034808526 ISBN-13(EAN): 9783034808521
Издательство: Springer
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Цена: 37260.00 T
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Описание: Arithmetic Geometry over Global Function Fields

Problems in Algebraic Number Theory

Автор: Murty M. Ram
Название: Problems in Algebraic Number Theory
ISBN: 1441919678 ISBN-13(EAN): 9781441919670
Издательство: Springer
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Цена: 65210.00 T
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Описание: The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

Algebraic Number Theory and Fermat`s Last Theorem, Fourth Edition

Автор: Stewart
Название: Algebraic Number Theory and Fermat`s Last Theorem, Fourth Edition
ISBN: 1498738397 ISBN-13(EAN): 9781498738392
Издательство: Taylor&Francis
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Цена: 86760.00 T
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Описание:

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics--the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles's proof of Fermat's Last Theorem opened many new areas for future work.

New to the Fourth Edition

  • Provides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper's proof that Z(√14) is Euclidean
  • Presents an important new result: Mihăilescu's proof of the Catalan conjecture of 1844
  • Revises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and others that led to the long-sought proof of Fermat's Last Theorem
  • Improves and updates the index, figures, bibliography, further reading list, and historical remarks

Written by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory.


Algebraic Geometry and Number Theory

Автор: Hussein Mourtada; Celal Cem Sar?o?lu; Christophe S
Название: Algebraic Geometry and Number Theory
ISBN: 3319477781 ISBN-13(EAN): 9783319477787
Издательство: Springer
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Цена: 93160.00 T
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Описание: This lecture notes volume presents significant contributions from the "Algebraic Geometry and Number Theory" Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology.

Algebraic Number Theory

Автор: Serge Lang
Название: Algebraic Number Theory
ISBN: 0387942254 ISBN-13(EAN): 9780387942254
Издательство: Springer
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Цена: 55890.00 T
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Описание: It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms."Lang`s books are always of great value for the graduate student and the research mathematician.


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