Topics in Number Theory

In Honor of B. Gordon and S. Chowla

Inbunden, Engelska, 1999

AvScott D. Ahlgren,George E. Andrews,Ken Ono,Scott D Ahlgren,George E Andrews

699 kr

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This volume contains the proceedings of the Topics in Number Theory Conference held at the Pennsylvania State University from July 31 through August 3, 1997. It contains seventeen research papers covering many areas of number theory; among them are contributions from four of the eight plenary speakers

Produktinformation

Utgivningsdatum1999-03-31
Mått160 x 240 x 17 mm
Vikt32 g
FormatInbunden
SpråkEngelska
SerieMathematics and Its Applications
Antal sidor264
Upplaga1999
FörlagKluwer Academic Publishers
ISBN9780792355830

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Motivating the multiplicative spectrum.- Modular Mahler measures I.- Diophantine problems in many variables: The role of additive number theory.- Equations F(x, y, ?x) = 0.- A fundamental invariant in the theory of partitions.- Congruence properties of values of L-functions and applications.- On Tschirnhaus transformations.- Hecke operators and the nonvanishing of L-functions.- A new minor-arcs estimate for number fields.- Modular functions, Maple and Andrews’ tenth problem.- Hecke characters and formal group characters.- On certain Gauss periods with common decomposition field.- Theorems and conjectures involving rook polynomials with only real zeros.- An example of an elliptic curve with a positive density of prime quadratic twists which have rank zero.- Exponents of class groups of quadratic fields.- A local-global principle for densities.- Divisibility of the specialization map for twists of abelian varieties.