International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 359-372
doi:10.1155/S0161171293000444

Dirichlet summations and products over primes

Abstract

We derive new classes of infinite products taken over the primes, for example expressing ∏p(11−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 βζ(n)∏α,βζ(αm+βn)1/β.