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Séminaire de théorie des nombres
Authors: --- ---
ISSN: 25475819 Year: 1972 Publisher: Talence : Talence : Laboratoire de théorie des nombres, Centre de Recherche en Mathématiques de Bordeaux

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Book
Elementary theory of numbers
Authors: ---
ISBN: 0444866620 9786612289293 1282289292 0080960197 9780080960197 9781282289291 Year: 1988 Publisher: Amsterdam North-Holland

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Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of G

Topics in number theory
Author:
ISBN: 0306428660 1489904417 1489904395 Year: 1988 Publisher: New York (N.Y.): Plenum

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The unreasonable effectiveness of number theory
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ISBN: 0821855018 Year: 1992 Publisher: Providence (R.I.): American Mathematical Society

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Realizations of polylogarithms
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ISBN: 3540624600 3540497285 9783540624608 Year: 1997 Volume: 1650 Publisher: Berlin Springer

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Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaf-theoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a self-contained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students.

Cubic metaplectic forms and theta functions
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ISBN: 3540637516 3540696415 9783540637516 Year: 1998 Volume: 1677 Publisher: Berlin Springer

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The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.


Book
Analytic number theory
Authors: ---
ISBN: 3540527877 3540471472 0387527877 9783540527879 Year: 1990 Volume: 1434 Publisher: Berlin Springer

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Periodical
Research in Number Theory
ISSN: 23639555 25220160

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Book
On numbers and games
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ISBN: 0121863506 9780121863500 Year: 1976 Volume: 6 Publisher: London

Fractal geometry and number theory: complex dimensions of fractal strings and zeros of zeta functions
Authors: ---
ISBN: 0817640983 1461253160 1461253144 Year: 2000 Publisher: Boston Birkhäuser

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