GLAISHER-TYPE PRODUCTS OVER THE PRIMES

    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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