An upper bound for the number of solutions of a system of congruences
An upper estimate for the reciprocal sum of a sum-free sequence
An -estimate for the number of lattice points in a sphere
Analogs of Bernoulli polynomials in fields Zp.
Analogs of Δ(z) for triangular Shimura curves
We construct analogs of the classical Δ-function for quotients of the upper half plane 𝓗 by certain arithmetic triangle groups Γ coming from quaternion division algebras B. We also establish a relative integrality result concerning modular functions of the form Δ(αz)/Δ(z) for α in B⁺. We give two explicit examples at the end.
Analogues étales de la -tour des corps de classes
Nous construisons un analogue «tordu» de la -tour de corps de classes d’un corps de nombres ( un nombre premier) et étudions ses liens avec la théorie d’Iwasawa. Le résultat principal donne un critère du type Golod et Shafarevich pour que la tour «tordue» soit infinie.
Analogues of Jacobi's two-square theorem: an informal account.
Analogues of two classical theorems on the representations of a number.
Analogues -adiques de certaines fonctions arithmétiques
Analogues p-adiques de certaines fonctions arithmétiques.
Analogues supérieurs du noyau sauvage
Analyse -adique et congruences des coefficients de la série
Analyse semi-classique de la formule des traces de Selberg (début)
Analyse spectrale des formes automorphes et séries d'Eisenstein.
Analyse spectrale et prolongement analytique : séries d’Eisenstein, fonctions et nombre de solutions d’équations diophantiennes
Analysis of an algorithm to construct Fibonacci partitions
Analysis on arithmetic schemes. I.
Analytic and arithmetic theory of semigroups with divisor theory
Analytic and combinatoric aspects of Hurwitz polyzêtas
In this work, a symbolic encoding of generalized Di-richlet generating series is found thanks to combinatorial techniques of noncommutative rational power series. This enables to explicit periodic generalized Dirichlet generating series – particularly the coloured polyzêtas – as linear combinations of Hurwitz polyzêtas. Moreover, the noncommutative version of the convolution theorem gives easily rise to an integral representation of Hurwitz polyzêtas. This representation enables us to build the...
Analytic Class Number Formulas in Function Fields.