Farey Series and the Riemann Hypothesis. II
β Scribed by M. Yoshimoto
- Book ID
- 110237677
- Publisher
- Akadmiai Kiad
- Year
- 1998
- Tongue
- English
- Weight
- 631 KB
- Volume
- 78
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
This paper studies the nonholomorphic Eisenstein series E(z, s) for the modular surface PSL(2, Z)\H, and shows that integration with respect to certain nonnegative measures ΞΌ(z) gives meromorphic functions F ΞΌ (s) that have all their zeros on the line (s) = 1 2 . For the constant term a 0 (y, s) of
We continue our study of noncommutative deformations of two-dimensional hyperbolic manifolds which we initiated in Part I. We construct a sequence of C\*-algebras which are quantizations of a compact Riemann surface of genus g corresponding to special values of the Planck constant. These algebras ar