On certain generating functions in positive characteristic

DOI10.1007/S00605-016-0880-6zbMath1338.11081arXiv1409.6006OpenAlexW137973481MaRDI QIDQ284083

Federico Pellarin, Rudolph Bronson Perkins

Publication date: 17 May 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6006

zbMATH Keywords

Carlitz modulespecial valuesperiodic functions\(L\)-seriesAnderson generating functionsPositive characteristic

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (10)

Vectorial Drinfeld modular forms over Tate algebras ⋮ From the Carlitz exponential to Drinfeld modular forms ⋮ Twisting eigensystems of Drinfeld Hecke eigenforms by characters ⋮ Multizeta values for function fields: A survey ⋮ A sum-shuffle formula for zeta values in Tate algebras ⋮ On finite Carlitz multiple polylogarithms ⋮ A note on certain representations in characteristic \(p\) and associated functions ⋮ Tensor powers of rank 1 Drinfeld modules and periods ⋮ On twisted \(A\)-harmonic sums and Carlitz finite zeta values ⋮ Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves

Cites Work

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• \(t\)-motives
• Values of certain \(L\)-series in positive characteristic
• Universal Gauss-Thakur sums and \(L\)-series
• Identities for Anderson generating functions for Drinfeld modules
• Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
• On certain functions connected with polynomials in a Galois field
• Arithmetic of positive characteristic -series values in Tate algebras
• On the de Rham isomorphism for Drinfeld modules.
• Behaviour of Function Field Gauss Sums at Infinity

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