Ramanujan and Dirichlet series with Euler products

DOI10.1007/BF02837257zbMath0487.10028OpenAlexW2068876862MaRDI QIDQ1165273

S. S. Rangachari

Publication date: 1982

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02837257

zbMATH Keywords

Dirichlet seriesEuler productscusp formsRamanujan's work

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms, one variable (11F12)

Related Items (5)

Ramanujan's Eisenstein series and powers of Dedekind's eta-function ⋮ Constructing \(x^2\) for primes \(p=ax^2+by^2\) ⋮ On Ramanujan and Dirichlet series with Euler products ⋮ EULER PRODUCTS IN RAMANUJAN'S LOST NOTEBOOK ⋮ Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms

Cites Work

• Unnamed Item
• Ramanujan and the congruence properties of partitions
• Newforms and functional equations
• Hecke operators on congruence subgroups of the modular group
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. II
• A look back at Ramanujan's Notebooks

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