Dirichlet summations and products over primes
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....
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1993-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000444 |