Dirichlet summations and products over primes

Geoffrey B. Campbell

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-14

Abstract:

We derive new classes of infinite products taken over the primes, for example expressing ∏ p ( 1 1 − p − n ) ( 1 − p − m ) − 1 as an infinite produce of Riemann zeta functions, this product being taken over the set of rational numbers α / β geater than zero with a relatively prime to β ζ ( n ) ∏ α , β ζ ( α m + β n ) 1 / β .

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:728942

DOI: 10.1155/S0161171293000444

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