Special functions and twisted $L$-series
Bruno Angl\`es, Tuan Ngo Dac, Floric Tavares Ribeiro
TL;DR
This paper generalizes the Anderson-Thakur special function and proves a rationality result for multi-variable twisted L-series linked to shtuka functions, advancing understanding in function field arithmetic.
Contribution
It introduces a new generalization of the Anderson-Thakur special function and establishes rationality results for complex twisted L-series.
Findings
Generalization of Anderson-Thakur special function
Rationality results for multi-variable twisted L-series
Connections to shtuka functions
Abstract
We introduce a generalization of the Anderson-Thakur special function, and we prove a rationality result for several variable twisted -series associated to shtuka functions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Mathematical Identities · Meromorphic and Entire Functions