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Number Theory

Most popular at the top

  • Einführung in die Zahlentheorieby Peter Bundschuh

    Springer Berlin Heidelberg 2013; US$ 39.73

    Aus den Besprechungen: "Die vorliegende, umfangreiche Einführung berücksichtigt stärker als andere die historische Entwicklung. Das bedeutet nicht, daß der Autor grundsätzlich die ersten in der Literatur vorliegenden Beweise gewählt hat, sondern daß er angibt, wer die entsprechenden Sätze gefunden hat und wie sie im Laufe der Zeit verschärft und... more...

  • Advances in the Theory of Numbersby Ayse Alaca; Saban Alaca; Kenneth S. Williams

    Springer New York 2015; US$ 88.64

    The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates... more...

  • Value Distribution in p-adic Analysisby Alain Escassut

    World Scientific Publishing Company 2015; US$ 152.00 US$ 138.32

    The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk... more...

  • Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116by Nicholas M. Katz

    Princeton University Press 2016; US$ 90.00 US$ 81.90

    The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations... more...

  • Abelian Varieties with Complex Multiplication and Modular Functionsby Goro Shimura

    Princeton University Press 2016; US$ 130.00 US$ 118.30

    Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such... more...

  • Are Numbers Real?by Brian Clegg

    St. Martin's Press 2016; US$ 20.29

    Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers... more...

  • The Selberg-Arthur Trace Formulaby Salahoddin Shokranian

    Springer Berlin Heidelberg 2006; US$ 23.63

    This book based on lectures given by James Arthur discussesthe trace formula of Selberg and Arthur. The emphasis islaid on Arthur's trace formula for GL(r), with severalexamples in order to illustrate the basic concepts. The bookwill be useful and stimulating reading for graduate studentsin automorphic forms, analytic number theory,... more...

  • Modular Functions of One Variable VIby J.-P. Serre; D. B. Zagier

    Springer Berlin Heidelberg 2006; US$ 41.36

    more...

  • Periods of Hecke Charactersby Norbert Schappacher

    Springer Berlin Heidelberg 2006; US$ 23.63

    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... more...

  • Explicit Constructions of Automorphic L-Functionsby Stephen Gelbart; Ilya Piatetski-Shapiro; Stephen Rallis

    Springer Berlin Heidelberg 2006; US$ 23.63

    The goal of this research monograph is to derive the analytic continuation and functional equation of the L -functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L -functions for the simple classical groups; the second part (by Gelbart... more...