Transcendental values of class group \(L\)-functions

DOI10.1007/s00208-010-0619-yzbMath1281.11071OpenAlexW4240117016MaRDI QIDQ652251

V. Kumar Murty, M. Ram Murty

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1007/s00208-010-0619-y

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Zeta functions and (L)-functions of number fields (11R42) Transcendence (general theory) (11J81) Other analytic theory (11R47) Linear forms in logarithms; Baker's method (11J86)

Related Items

TRANSCENDENTAL SUMS RELATED TO THE ZEROS OF ZETA FUNCTIONS ⋮ Algebraic independence of values of Goss \(L\)-functions at \(s=1\) ⋮ On the nature of \(e^{\gamma}\) and non-vanishing of derivatives of \(L\)-series at \(s=1/2\) ⋮ Transcendental numbers and special values of Dirichlet series ⋮ Kronecker's solution of Pell's equation for CM fields ⋮ An elliptic analogue of a theorem of Hecke ⋮ Distribution and non-vanishing of special values of L-series attached to Erdős functions ⋮ Transcendental values of class group $L$-functions, II ⋮ A note on Dedekind zeta values at 1/2

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