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Diophantine analysis

Most popular at the top

  • Modular Representation Theory of Finite Groupsby Peter Schneider

    Springer London 2012; US$ 69.95

    This book provides a concise introduction to modular representation theory for masters-level students. It details basic results, tools, and techniques as well as compares group theoretic and module theoretic concepts. more...

  • The Quadratic Reciprocity Lawby Oswald Baumgart; Franz Lemmermeyer

    Springer International Publishing 2015; US$ 89.99

    This book is the English translation of Baumgart?s thesis on the early proofs of the quadratic reciprocity law (?Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise?), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre,... more...

  • Quantitative Arithmetic of Projective Varietiesby Timothy D. Browning

    Birkhäuser Basel 2009; US$ 67.38

    This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties. more...

  • Diophantine Approximationby Robert F. Tichy; Hans Peter Schlickewei; Klaus D. Schmidt

    Springer Vienna 2008; US$ 112.31

    This volume contains 22 research and survey papers on recent developments in the field of diophantine approximation. The first article by Hans Peter Schlickewei is devoted to the scientific work of Wolfgang Schmidt. Further contributions deal with the subspace theorem and its applications to diophantine equations and to the study of linear recurring... more...

  • Pell?s Equationby Edward J. Barbeau

    Springer New York 2006; US$ 90.89

    Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was found. There were partial patterns and quite effective methods... 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...

  • The Large Sieve and its Applicationsby E. Kowalski

    Cambridge University Press 2008; US$ 100.00 US$ 82.00

    Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. more...

  • Applied Algebraic Dynamicsby Vladimir Anashin; Andrei Khrennikov

    De Gruyter 2009; US$ 168.43

    This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative... more...

  • On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)by Sophie Morel

    Princeton University Press 2010; US$ 60.00 US$ 48.00

    This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of... more...

  • Elliptic Diophantine Equationsby Nikos Tzanakis

    De Gruyter 2013; US$ 112.27

    This book presents in a unified way the beautiful and deep mathematics, both theoretical and computational, on which the explicit solution of an elliptic Diophantine equation is based. It collects numerous results and methods that are scattered in literature. Some results are even hidden behind a number of routines in software packages,... more...