Universal Gauss-Thakur sums and $$L$$L-series
By Bruno Anglès, F. Pellarin. 2013
54 citations recorded by the source corpus.
We prove that the maximal abelian extension tamely ramified at infinity of the rational function field over $$\mathbb {F}_q$$Fq is generated by the values at the points in the algebraic closure of $$\mathbb {F}_q$$Fq of the higher derivatives of the so-called Anderson and Thakur function $$\omega .$$ω. We deduce a similar property for the special values of the higher derivatives of a new kind of $$L$$L-series introduced by the second author.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9f1a94d7c923913a3f030c6b8ff248fc74eac370
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In Geometry and Topology
Citations in the corpus
- Arithmetic of positive characteristic $L$-series values in Tate algebras (2014, result): “ cyclotomic function field. This enables us to study isotypic components of Taelman’s class modules in families with the help of the results obtained in the previous sections and the recent results in [4, 5, 6]. 9.1. Setting. Let P be a prime of Aof degree d≥ 1. We recall that KP denotes the P-adic c”