Analytic Number Theory
Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980
Published on 1. December 1981
Book
Paperback/Softback
XII, 480 pages
978-3-540-11173-3 (ISBN)
Description
An orthonormal system and its Lebesgue constants.- Mordell integrals and Ramanujan's ¿lost¿ notebook.- 5 Ramanujan's second notebook.- Oscillation theorems.- On the generalized density hypothesis, I.- The zeros of Hurwitz's zeta-function on ?=1/2.- Gaps between consecutive zeta zeros.- On the representation of the summatory functions of a class of arithmetical functions.- P-adic L-functions at s=0 and s=1.- Some problems and results on additive and multiplicative number theory.- Computations and generalizations on a remark of Ramanujan.- The arithmetic mean of the divisors of an integer.- The next Pellian equation.- Best Diophantine approximations for ternary linear forms, II.- Constructive elementary estimates for M(x).- On the second largest prime divisor of an odd perfect number.- A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem.- Cyclotomy for non-squarefree modul I.- Waring's problem for sets of density zero.- Sequences without arithmetic progressions.- On polygon groups.- Theta function identities and orthogonal polynomials.- Ramanujan congruences for q(n).- Gaps in the Fourier series of automorphic forms.- Gaps in the Fourier series of automorphic forms II.- Modular functions revisited.- Bounding the norm of the Poincar¿-operator.- Analysis on positive matrices as it might have occurred to Fourier.
More details
Series
Edition
1981 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 480 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 27 mm
Weight
739 gr
ISBN-13
978-3-540-11173-3 (9783540111733)
DOI
10.1007/BFb0096450
Schweitzer Classification
Content
An orthonormal system and its Lebesgue constants.- Mordell integrals and Ramanujan's "lost" notebook.- 5 Ramanujan's second notebook.- Oscillation theorems.- On the generalized density hypothesis, I.- The zeros of Hurwitz's zeta-function on ?=1/2.- Gaps between consecutive zeta zeros.- On the representation of the summatory functions of a class of arithmetical functions.- P-adic L-functions at s=0 and s=1.- Some problems and results on additive and multiplicative number theory.- Computations and generalizations on a remark of Ramanujan.- The arithmetic mean of the divisors of an integer.- The next Pellian equation.- Best Diophantine approximations for ternary linear forms, II.- Constructive elementary estimates for M(x).- On the second largest prime divisor of an odd perfect number.- A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem.- Cyclotomy for non-squarefree modul I.- Waring's problem for sets of density zero.- Sequences without arithmetic progressions.- On polygon groups.- Theta function identities and orthogonal polynomials.- Ramanujan congruences for q(n).- Gaps in the Fourier series of automorphic forms.- Gaps in the Fourier series of automorphic forms II.- Modular functions revisited.- Bounding the norm of the Poincaré ?-operator.- Analysis on positive matrices as it might have occurred to Fourier.