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Number Theory: A Seminar held at the Graduate School and University Center of the City University of New York 1985-88 de David V. Chudnovsky

Number Theory: A Seminar held at the Graduate School and University Center of the City University of New York 1985-88: Lecture Notes in Mathematics, cartea 1383

Editat de David V. Chudnovsky, Gregory V. Chudnovsky, Harvey Cohn, Melvyn B. Nathanson
en Limba Engleză Paperback – 6 sep 1989
The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in the volume cover a wide spectrum of number theoretic topics ranging from additive number theory and diophantine approximations to algebraic number theory and relations with algebraic geometry and topology.
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Specificații

ISBN-13: 9783540515494
ISBN-10: 3540515496
Pagini: 268
Ilustrații: V, 258 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.38 kg
Ediția:1989
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Some conjectured relationships between theta functions and eisenstein series on the metaplectic group.- Computational problems in arithmetic of linear differential equations. Some diophantine applications.- Iteration of two-valued modular equations.- Report on transcendency in the theory of function fields.- Exponential sums and faster than Nyquist signaling.- Some new applications of the large sieve.- Elliptic fiberings of Kummer surfaces.- Recent developments in the theory of rational period functions.- Additive problems in combinatorial number theory.- Growth of order of homology of cyclic branched covers of knots.- Hybrid problems in number theory.- Binomial coefficients not divisible by a prime.- Positive characteristic calculus and icebergs.- Arithmetic of certain algebraic surfaces over finite fields.

Descriere

Descriere de la o altă ediție sau format:
New York Number Theory Seminar started its regular meeting in January, 1982. The Seminar has been meeting on a regular basis weekly during the academic year since then. The meeting place of the seminar is in midtown Manhattan at the Graduate School and University Center of the City Uni­ versity of New York. This central location allows number-theorists in the New York metropolitan area and vistors an easy access. Four volumes of the Seminar proceedings, containing expanded texts of Seminar's lectures had been published in the Springer's Lecture Notes in Mathematics series as volumes 1052 (1984), 1135 (1985), 1240 (1987), and 1383 (1989). Seminar co­ chairmen are pleased that some of the contributions to the Seminar opened new avenues of research in Number Theory and related areas. On a histori­ cal note, one of such contributions proved to be a contribution by P. Landweber. In addition to classical and modern Number Theory, this Semi­ nar encourages Computational Number Theory. This book presents a selection of invited lectures presented at the New York Number Theory Seminar during 1989-1990. These papers cover wide areas of Number Theory, particularly modular functions, Aigebraic and Diophantine Geometry, and Computational Number Theory. The review of C-L. Chai presents a broad view of the moduli of Abelian varieties based on recent work of the author and many other prominent experts. This provides the reader interested in Diophantine Analysis with access to state of the art research. The paper of D. V. and G. V.