Title

GLAISHER-TYPE PRODUCTS OVER THE PRIMES

Authors

Authors

R. A. Van Gorder

Comments

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Abbreviated Journal Title

Int. J. Number Theory

Keywords

Infinite products; Glaisher products; Glaisher's constant; GAMMA FUNCTION; CONSTANTS; Mathematics

Abstract

In this short paper, we demonstrate the computation of certain Glaisher-type products over the primes by differentiation of the Euler product identity. We are able to give a formula for the logarithmic derivative of zeta(x) in terms of this product, in addition to some other interesting identities.

Journal Title

International Journal of Number Theory

Volume

8

Issue/Number

2

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

543

Last Page

550

WOS Identifier

WOS:000300681800014

ISSN

1793-0421

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