An Application of Siegel Modular Functions to Kronecker's Limit Formula

Authors:
Takashi Fukuda;Keiichi Komatsu
Affiliations:
-;-
Venue:
ANTS-V Proceedings of the 5th International Symposium on Algorithmic Number Theory
Year:
2002

Citing 3
Cited 0

KANT V4

Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Proving that a genus 2 curve has complex multiplication

Mathematics of Computation
On a unit group generated by special values of Siegel modular functions

Mathematics of Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

We try to write the values of L-functions associated to some abelian extensions of Q(exp(2驴i/13)+exp(6驴i/13)+exp(18驴i/13)) using units given by Siegel modular functions hoping that our trial brings some new features in algebraic number theory.