Experimental Mathematics

Numerical Verification of the Stark-Chinburg Conjuncture for Some Icosahedral Representations

Arnaud Jehanne, Xavier-Francois Roblot, and Jonathan Sands

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Abstract

In this paper, we give 14 examples of icosahedral representations for which we have numerically verified the Stark-Chinburg conjecture.

Article information

Source
Experiment. Math., Volume 12, Number 4 (2003), 419-432.

Dates
First available in Project Euclid: 18 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.em/1087568018

Mathematical Reviews number (MathSciNet)
MR2043992

Zentralblatt MATH identifier
1082.11082

Subjects
Primary: 11Y40: Algebraic number theory computations
Secondary: 11R42: Zeta functions and $L$-functions of number fields [See also 11M41, 19F27]

Keywords
Number fields Stark conjectures icosahedral Galois representations Artin L-functions

Citation

Jehanne, Arnaud; Roblot, Xavier-Francois; Sands, Jonathan. Numerical Verification of the Stark-Chinburg Conjuncture for Some Icosahedral Representations. Experiment. Math. 12 (2003), no. 4, 419--432. https://projecteuclid.org/euclid.em/1087568018


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