Number Theory: A Seminar held at the Graduate School and University Center of the City University of New York 1984-85: Lecture Notes in Mathematics, cartea 1240

Computer assisted number theory with applications.- Successive diagonal projections of Hilbert modular functions.- Problems and results on minimal bases in additive number theory.- On the number of false witnesses for a composite number.- Arithmetic theory of Siegel modular forms.- What is the structure of K if K+K is small?.- The geometry of Markoff forms.- On the maximum of an exponential sum of the Möbius function.- Galois coverings of the arithmetic line.- Notes on elliptic K3 surfaces.- Splitting fields of principal homogeneous spaces.- Mechanics on a surface of constant negative curvature.- The depth of rings of invariants over finite fields.- On the congruence of modular forms.- Methods of factoring large integers.- Divisors of the Siegel modular variety.

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.