ABSTRACT. We give a survey on recent results about the asymptotic moments of-functions associated t$\mathrm{o}$ primitive forms and of symmetric square of primitive forms. 1. JNTRODUCTION TO MODULAR FORMS For any positive integer $N $ , let $\Gamma_{0}(N) $ denote the congruence modular grou
This is the author accepted manuscript. The final version is available from World Scientific Publish...
AbstractWe derive formulas for the terms in the conjectured asymptotic expansions of the moments, at...
We establish the first moment bound (phi)Sigma L(phi circle times phi Psi, 1/2) << (epsilon) p(5/4+e...
International audienceWe give a combinatorial interpretation for the positive moments of the values ...
AbstractWe consider the first moment of the value of automorphic L-functions at an arbitrary point o...
International audienceWe study the moments of the symmetric power L-functions of primitive forms at ...
We study the moments of the symmetric power L-functions of primitive forms at the edge of the critic...
AbstractWe study the moments of the symmetric power L-functions of primitive forms at the edge of th...
Abstract. We study the average of the product of the central values of two L-functions of modular fo...
Moments of families of L-functions provide understanding of their size and also about their distribu...
We prove an asymptotic for the third moment of symmetric-square L-functions associated to holomorphi...
Cette thèse se propose d’obtenir des résultats statistiques sur les zéros non-triviaux de fonctions ...
Abstract. We obtain the formula for the twisted harmonic second moment of the L-functions associated...
The purpose of this dissertation is to get some statistical results related to nontrivial zeros of L...
Fix a Hecke cusp form $f$, and consider the $L$-function of $f$ twisted by a primitive Dirichlet cha...
This is the author accepted manuscript. The final version is available from World Scientific Publish...
AbstractWe derive formulas for the terms in the conjectured asymptotic expansions of the moments, at...
We establish the first moment bound (phi)Sigma L(phi circle times phi Psi, 1/2) << (epsilon) p(5/4+e...
International audienceWe give a combinatorial interpretation for the positive moments of the values ...
AbstractWe consider the first moment of the value of automorphic L-functions at an arbitrary point o...
International audienceWe study the moments of the symmetric power L-functions of primitive forms at ...
We study the moments of the symmetric power L-functions of primitive forms at the edge of the critic...
AbstractWe study the moments of the symmetric power L-functions of primitive forms at the edge of th...
Abstract. We study the average of the product of the central values of two L-functions of modular fo...
Moments of families of L-functions provide understanding of their size and also about their distribu...
We prove an asymptotic for the third moment of symmetric-square L-functions associated to holomorphi...
Cette thèse se propose d’obtenir des résultats statistiques sur les zéros non-triviaux de fonctions ...
Abstract. We obtain the formula for the twisted harmonic second moment of the L-functions associated...
The purpose of this dissertation is to get some statistical results related to nontrivial zeros of L...
Fix a Hecke cusp form $f$, and consider the $L$-function of $f$ twisted by a primitive Dirichlet cha...
This is the author accepted manuscript. The final version is available from World Scientific Publish...
AbstractWe derive formulas for the terms in the conjectured asymptotic expansions of the moments, at...
We establish the first moment bound (phi)Sigma L(phi circle times phi Psi, 1/2) << (epsilon) p(5/4+e...