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On the limits of certain infinite series and integrals

โœ Scribed by T. J. I. Bromwich

Book ID
118289940
Publisher
Springer
Year
1908
Tongue
English
Weight
921 KB
Volume
65
Category
Article
ISSN
0025-5831

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The Riemann hypothesis for certain integ
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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 ฮผ(z) gives meromorphic functions F ฮผ (s) that have all their zeros on the line (s) = 1 2 . For the constant term a 0 (y, s) of