Transcendental values of class group $L$-functions, II

DOI10.1090/S0002-9939-2012-11201-8zbMath1282.11082OpenAlexW1820659494WikidataQ102398661 ScholiaQ102398661MaRDI QIDQ2845728

M. Ram Murty, V. Kumar Murty

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11201-8

zbMATH Keywords

Artin \(L\)-seriestranscendental valuesclass group \(L\)-functionsPetersson inner products

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items

Algebraic independence of values of Goss \(L\)-functions at \(s=1\) ⋮ Transcendental numbers and special values of Dirichlet series ⋮ Kronecker's solution of Pell's equation for CM fields

Cites Work

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• A problem of Chowla revisited
• Transcendental values of class group \(L\)-functions
• Euler-Lehmer constants and a conjecture of Erdős
• Some applications of Kronecker's limit formulas
• The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
• SPECIAL VALUES OF THE POLYGAMMA FUNCTIONS
• The special values of the zeta functions associated with cusp forms