Eine Abschätzung der Summe, die in der Mertens-Goldstein-Vermutung auftritt

DOI10.1007/BF01466056zbMath0467.10029MaRDI QIDQ1155657

Peter Hahnel

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163648

zbMATH Keywords

Dirichlet seriesMellin transform of cusp formMertens-Goldbach-conjectureMoreno prime number theorem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Hurwitz and Lerch zeta functions (11M35)

Cites Work

• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• La conjecture de Weil. I
• A necessary and sufficient condition for the Riemann hypothesis for Ramanujan's zeta function
• On a convolution of L-series
• Automorphic Forms on Adele Groups. (AM-83)
• Prime number theorems for the coefficients of modular forms
• A necessary and sufficient condition for the Riemann hypothesis for zeta functions attached to eigenfunctions of the Hecke operators
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