On a new type of \(L\)-function for algebraic curves over finite fields

DOI10.2140/PJM.1983.105.143zbMath0571.14010OpenAlexW2006487875MaRDI QIDQ1061797

David Goss

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.105.143

zbMATH Keywords

\(L\)-functionscyclotomic function fieldsalgebraic curve over a finite field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (15)

Twisted characteristic \(p\) zeta functions ⋮ Goss polynomials, \(q\)-adic expansions, and Sheats compositions ⋮ On ∞-adic and v-adic multiple zeta functions in positive characteristic ⋮ Algebraic relations among Goss’s zeta values on elliptic curves ⋮ Study of \(L(s,\chi)/\pi^s\) for \(L\)-functions relative to \(\mathbb{F}_q((T^{-1}))\) and associated to characters of degree 1 ⋮ On root numbers connected with special values of \(L\)-functions over \(\mathbb{F}_ q(T)\) ⋮ Transcendence of \(L(1,\chi_{s})/\Pi\) and automata ⋮ The Poisson Kernel for Drinfeld Modular Curves ⋮ Unnamed Item ⋮ Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves ⋮ On the holomorphy on certain non-Abelian L-series ⋮ Kummer's theory for function fields ⋮ A note on irregular prime polynomials in cyclotomic function field theory ⋮ On finite Drinfeld modules ⋮ Transcendence and Drinfeld modules

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