A proof of Selberg's orthogonality for automorphicL-functions
β Scribed by Jianya Liu; Yonghui Wang; Yangbo Ye
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 175 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In [P. Sarnak, Class numbers of indefinite binary quadratic forms, J. Number Theory 15 (1982) 229-247], it was proved that the Selberg zeta function for SL 2 (Z) is expressed in terms of the fundamental units and the class numbers of the primitive indefinite binary quadratic forms. The aim of this p
Suppose that m(ΞΎ ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and |m(ΞΎ In this paper, we prove a generalization: if m(ΞΎ ) has no zeros in [-1 10 , 1 10 ] and |m( 1 6 )| + m(-1 6 )| > 0, then Ο(x) is an orthogonal function.
We establish an Aomoto-type extension of Askey's last conjectured Selberg q-integral, which was recently proved by Evans. We follow the lines of our proofs of Aomoto-type extensions of the Morris constant term q-identity and Gustafson's Askey-Wilson Selberg q-integral. We require integral forms of t