THE MEAN SQUARE OF THE LOGARITHMIC DERIVATIVE OF THE SELBERG ZETA FUNCTION FOR COCOMPACT DISCRETE SUBGROUPS

Author:

AOKI Yutaro1

Affiliation:

1. Department of Mathematics Tokyo Institute of Technology

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference19 articles.

1. [B] E. W. Barnes. The theory of the G-function. Q. J. Math. 31 (1900), 264-314.

2. [C] F. Carlson. Contributions à la théorie des séries de Dirichlet. Note I. Ark. Mat., Astron. Fysik 16(18) (1922), 19 pp.

3. [GGM] D. A. Goldston, S. M. Gonek and H. L. Montgomery. Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals. J. Reine Angew. Math. 537 (2001), 105-126.

4. [GGP] I. M. Gel'fand, M. I. Graev and I. I. Pyatetskii-Shapiro. Representation Theory and Automorphic Functions. Trans. K. A. Hirsch. W. B. Saunders, Philadelphia, 1969.

5. [He1] D. A. Hejhal. The Selberg trace formula for PSL(2, R), Vol. 1 (Lecture Notes in Mathematics, 548). Springer, Berlin, 1976.

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