On valued function fields II. Regular functions and elements with the uniqueness property.
Orders, in non-Eichler (R)-algebras over global function fields, having the cancellation property.
Orthogonal Decomposition of Modular Quadratic Forms.
Osservazioni elementari intorno al differente di un corpo o di un'algebra sopra un corpo algebrico, o sopra un corpo di funzioni algebriche di una variabile
Partial fraction decompositions and Kummer congruences for the normalized coefficients of the Laurent expansion of elliptic functions parametrizing a nonsingular cubic curve in Hessian normal form.
Points rationnels des courbes modulaires
Purely cubic complex function fields with small units
p-адические характеры Дирихле функциональных полей
Quadratic function fields whose class numbers are not divisible by three
Quadratic Relations for Generators of Units in the Modular Function Field.
Quasi-periodic functions and Drinfeld modular forms
Quelques aspects de la théorie des courbes elliptiques
Ray class fields of global function fields with many rational places
Recent results in the theory of constant reductions
Reciprocity in valued function fields.
Representations of automorphisms on differentials of function fields of characteristic p.
Shimuras Reziprozitätsgesetz für den Körper der arithmetischen elliptischen Funktionen beliebiger Stufe.
Shtukas and Jacobi sums.
Small generators of function fields
Let be a finite extension of a global field. Such an extension can be generated over by a single element. The aim of this article is to prove the existence of a ”small” generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.
Solomon's Zeta Functions over Algebraic Function Fields.