Several identities for certain products of
β Scribed by Qinglun Yan
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 323 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1382-4090
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we will start with one identity of Ramanujan about Lambert series related to modular relations of degree 7 to give some completely new proofs of several important theta functions identities proved by Berndt and Zhang [1994, J. Number Theory 48, 224 242] via the theory of modular forms.
The purpose of this paper is to give several symmetric identities on the generalized Apostol-Bernoulli polynomials by applying the generating functions. These results extend some known identities.
In this paper we explore a research problem of Greene: to find inequalities for the Miibius function which become equalities in the presence of modularity. We replace these inequalities with identities and give combinatorial interpretations for the difference.