ON THE SIZE OF THE RIEMANN ZETA-FUNCTION AT PLACES SYMMETRIC WITH RESPECT TO THE POINT 1/2,

Abstract

Improvement is made on and a simpler proof provided of a result of R. Spira which is to appear in the Duke Mathematical Journal. This result is that if s = sigma + it and zeta is the Riemann zeta-function, then absolute value (zeta (1 - s))> absolute value (zeta (s)) for all s other than zeros of zeta provided t ><or = 6.8 and sigma > 1/2. The proof uses Stirling's formula, as did Spira's.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0613373

Entities

People

  • Lowell Schoenfeld
  • R. D. Dixon

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Functions (Mathematics)
  • Mathematical Analysis
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.