Determination of algebraic relations among special zeta values in positive characteristic
By Chieh-Yu Chang, Jing Yu. 2007
83 citations recorded by the source corpus.
Abstract As an analogue to special values at positive integers of the Riemann zeta function, we consider Carlitz zeta values ζ C ( n ) at positive integers n. By constructing t-motives after Papanikolas, we prove that the only algebraic relations among these characteristic p zeta values are those coming from the Euler–Carlitz relations and the Frobenius pth power relations.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Spectroscopy
View Paper: https://www.semanticscholar.org/paper/7b4403a717681dfe47eba661b909b2feff74ceba
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In Algebra and Number Theory
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Citations in the corpus
- Linear independence of monomials of multizeta values in positive characteristic (2012, background): “me from Papanikolas [P08], which can be regarded as a function field analogue of Grothendieck’s periods conjecture. Using these tools, one has the algebraic independence results on Carlitz zeta values [CY07], Drinfeld logarithms at algebraic points [CP12] etc. Although one is able to construct suitab”
- Multizeta values for F_q[t], their period interpretation and relations between them (2009, background): “It is our hope that, just as the construction given in [4] helped determine [6] all the relations among the Carlitz zeta values, the constructions given in this article will help to determine all relations among multizeta values.”