On a problem of Rankin about the Epstein zeta-function
- 1 July 1959
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Glasgow Mathematical Association
- Vol. 4 (2) , 73-80
- https://doi.org/10.1017/s2040618500033906
Abstract
Letbe a positive definite quadratic form with determinant αβ−X2 = 1. A special form of this kind isWe consider the Epstein zeta-functionthe series converging for s > 1. For s ≥ 1·035 Rankin [1] proved the followingSTatement R.The sign of equality is needed only when h is equivalent to Q.Keywords
This publication has 2 references indexed in Scilit:
- A Minimum Problem for the Epstein Zeta-FunctionProceedings of the Glasgow Mathematical Association, 1953
- Zetafunktionen quadratischer Formen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1935