Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Special Values of Goss L-series Attached to Drinfeld Modules of Rank 2
Oguz Gezmis (Heidelberg University)
Abstract:
Inspired by the classical setting, Goss defined the L-series of t-modules corresponding to representations of the absolute Galois group of a rational function field. In this talk, for a given Drinfeld module of rank 2 defined over a finite field, we give explicit formulas for the values of Goss L-series at positive integers in terms of polylogarithms and coefficients of the logarithm series of the Drinfeld module.
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