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Abelian Theorems, Farey Series and the Riemann Hypothesis

✍ Scribed by Masami Yoshimoto


Book ID
111605965
Publisher
Springer US
Year
2004
Tongue
English
Weight
154 KB
Volume
8
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES


The Riemann hypothesis for certain integ
✍ Jeffrey C. Lagarias; Masatoshi Suzuki πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 204 KB

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