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Diophantine analysis

Most popular at the top

  • The Gross-Zagier Formula on Shimura Curvesby Xinyi Yuan; Shou-wu Zhang; Wei Zhang

    Princeton University Press 2012; US$ 75.00

    This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation... more...

  • Arithmetic Compactifications of PEL-Type Shimura Varietiesby Kai-Wen Lan

    Princeton University Press 2013; US$ 150.00

    By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to graduate students who have an understanding of schemes and abelian... more...

  • Galois Representations in Arithmetic Algebraic Geometryby A. J. Scholl; R. L. Taylor

    Cambridge University Press 1998; US$ 104.00

    Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'. more...

  • Perfect, Amicable and Sociable Numbersby Song Y. Yan

    World Scientific Publishing Company 1996; US$ 134.00

    This book is about perfect, amicable and sociable numbers, with an emphasis on amicable numbers, from both a mathematical and particularly a computational point of view. Perfect and amicable numbers have been studied since antiquity, nevertheless, many problems still remain. The book introduces the basic concepts and results of perfect, amicable and... more...

  • Chinese Remainder Theoremby C. Ding

    World Scientific Publishing Company 1996; US$ 92.00

    Chinese Remainder Theorem, CRT, is one of the jewels of mathematics. It is a perfect combination of beauty and utility or, in the words of Horace, omne tulit punctum qui miscuit utile dulci. Known already for ages, CRT continues to present itself in new contexts and open vistas for new types of applications. So far, its usefulness has been obvious... more...

  • Diophantine Analysisby Jorn Steuding

    Taylor and Francis 2005; US$ 99.95

    While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain. Diophantine Analysis examines the theory of diophantine approximations... more...

  • Histoire de l'analyse diophantienne classiqueby Roshdi Rashed

    De Gruyter 2013; US$ 154.00

    This is the first study of the history of Diophantine analysis and the theory of numbers from Ab? K?mil to Fermat (9th-17th century). It thus offers an elaborate and detailed overview on a fundamental chapter on classical mathematical thought and its relation to algebra and Diophantus? Arithmetica. more...

  • Distribution Theory of Algebraic Numbersby Pei-Chu Hu; Chung-Chun Yang

    De Gruyter 2008; US$ 224.00

    The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions ?... more...

  • Modular Representation Theory of Finite Groupsby Peter Schneider

    Springer London 2012; US$ 69.95

    Provides a concise introduction to modular representation theory Is aimed at students at masters level Compares group theoretic and module theoretic concepts more...

  • Linear Algebra, Rational Approximation and Orthogonal Polynomialsby A. Bultheel; M. Van Barel

    Elsevier Science 1997; US$ 255.00

    Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal Padé tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal... more...