Sums Associated with the Zeta Function
โ Scribed by Junesang Choi; H.M Srivastava
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 165 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
We evaluate the sums of certain classes of series involving the Riemann zeta function by using the theory of the double gamma function, which has recently been revived in the study of determinants of Laplacians. Relevant connections with various known results are also pointed out.
๐ SIMILAR VOLUMES
In this paper we derive some geometric formulas for the quotient of the zeta functional determinants for certain elliptic boundary value problems on Riemannian 3 and 4-manifolds with smooth boundary. 1997 Academic Press ## 1. Introduction Let (M, g) denote a smooth compact Riemannian manifold wit
In this paper we show W 2, 2 -compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace i
In this note, we calculate the residues of an adelic zeta function associated with the space of binary cubic forms over any number field without using Eisenstein series. 1995 Academic Press. Inc.