Some Infinite Sums Arising from the Weierstrass Product Theorem
- Authors
- Mez?, Istv?n
- Format
- Article
- Status
- publishedVersion
- Description
A very simple approach using series manipulations and the Weierstrass Representation Theorem yield surprisingly nice and non-trivial series identities involving special functions. In our paper we present a large number of examples of these identities. At the end, several number theoretical sums are deduced.
Escuela Polit?cnica Nacional
http://www.sciencedirect.com/science/article/pii/S0096300313003834
- Publication Year
- 2013
- Language
- eng
- Topic
- DIGAMMA FUNCTION
TRIGAMMA FUNCTION
HURWITZ ZETA FUNCTION
PRIME ZETA FUNCTION
GENERALIZED HARMONIC NUMBERS
WEIERSTRASS PRODUCT THEOREM
- Repository
- Repositorio SENESCYT
- Rights
- openAccess
- License
- restrictedAccess