Shimura correspondence of Maass wave forms of half integral weight
Sign changes of certain arithmetical function at prime powers
We examine an arithmetical function defined by recursion relations on the sequence and obtain sufficient condition(s) for the sequence to change sign infinitely often. As an application we give criteria for infinitely many sign changes of Chebyshev polynomials and that of sequence formed by the Fourier coefficients of a cusp form.
Small gaps in coefficients of -functions and -free numbers in short intervals.
Solution of a generalised version of a problem of Rankin on sums of powers of cusp-form coefficients
Some congruence property of modular forms.
Some properties of Fourier coefficients of Eisenstein series of degree two.
Special values of multiple gamma functions
We give a Chowla-Selberg type formula that connects a generalization of the eta-function to with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
Stabilization of periods of Eisenstein series and Bessel distributions on relative to .
Sums of coefficients of Hecke series
Sur une condition suffisante pour l’existence de mesures -adiques admissibles
On donne une nouvelle condition suffisante pour l’existence des mesures -adiques admissibles obtenues à partir de suites de distributions à valeurs dans les espaces de formes modulaires. On utilise la projection caractéristique sur le sous-espace primaire associé à une valeur propre non nulle de l’opérateur d’Atkin. Notre condition est exprimée en termes des congruences entre les coefficients de Fourier des formes modulaires . On montre comment vérifier ces congruences, et on traite plusieurs...