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Title: On small values of the Riemann zeta-function at Gram points

In this paper, we prove the existence of a large set of Gram points t{sub n} such that the values ζ(0.5+it{sub n}) are 'anomalously' close to zero. A lower bound for the negative 'discrete' moment of the Riemann zeta-function on the critical line is also given. Bibliography: 13 titles.
Authors:
 [1]
  1. Steklov Mathematical Institute of the Russian Academy of Sciences (Russian Federation)
Publication Date:
OSTI Identifier:
22365789
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FUNCTIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; RIEMANN FUNCTION; RIEMANN SPACE