Analytic Number Theory | Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980 | ISBN 9783540111733

Analytic Number Theory

Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980

herausgegeben von Marvin I. Knopp
Buchcover Analytic Number Theory  | EAN 9783540111733 | ISBN 3-540-11173-5 | ISBN 978-3-540-11173-3

Analytic Number Theory

Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980

herausgegeben von Marvin I. Knopp

Inhaltsverzeichnis

  • 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.