Accession Number:

AD0613373

Title:

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

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1964-11-01

Pagination or Media Count:

6.0

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 12. The proof uses Stirlings formula, as did Spiras.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE