On mod \(p\) nonvanishing of special values of \(L\)-functions associated with cusp forms on \(\mathrm{GL}_{2}\) over imaginary quadratic fields

DOI10.1215/21562261-1503782zbMath1284.11087OpenAlexW2037319061MaRDI QIDQ2428706

Kenichi Namikawa

Publication date: 20 April 2012

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1329684745

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (2)

Bianchi modular symbols and \(p\)-adic \(L\)-functions ⋮ Arithmetic Aspects of Bianchi Groups

Cites Work

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• Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
• \(p\)-ordinary cohomology groups for \(\text{SL}(2)\) over number fields
• On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\)
• Canonical periods and congruence formulae
• Homological interpretation of a theorem of L. Washington
• The Cuspidal Group and Special Values of L-Functions

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