We investigate the arithmetic of special values of a new class of L-functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use these Anderson-Stark units to prove that L-functions can be expressed as sums of polylogarithms.
Anderson-stark units for Fq[θ] / Angles, B.; Pellarin, F.; Tavares Ribeiro, F.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 370:3(2018), pp. 1603-1627. [10.1090/tran/6994]
Anderson-stark units for Fq[θ]
Pellarin F.;
2018
Abstract
We investigate the arithmetic of special values of a new class of L-functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use these Anderson-Stark units to prove that L-functions can be expressed as sums of polylogarithms.File allegati a questo prodotto
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