Algebraic relations among Goss's zeta values on elliptic curves - Institut Camille Jordan Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Algebraic relations among Goss's zeta values on elliptic curves

Résumé

In 2007 Chang and Yu determined all the algebraic relations among Goss's zeta values for A = F_q[θ] also known as the Carlitz zeta values. Goss raised the problem about algebraic relations among Goss's zeta values for a general base ring A but very little is known. In this paper we develop a general method and determine all algebraic relations among Goss's zeta values for the base ring A attached to an elliptic curve over F_q. To our knowledge, these are the first non-trivial solutions of Goss's problem for a base ring whose class number is strictly greater than 1.
Fichier principal
Vignette du fichier
GreenND_transcendence_v1.pdf (598.25 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02546413 , version 1 (17-04-2020)
hal-02546413 , version 2 (20-06-2022)
hal-02546413 , version 3 (31-01-2023)

Identifiants

Citer

Nathan Green, Tuan Ngo Dac. Algebraic relations among Goss's zeta values on elliptic curves. 2020. ⟨hal-02546413v1⟩

Collections

ICJ
354 Consultations
106 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More