Add to ORKGWe prove a Lindel\"{o}f-on-average upper bound for the second moment of the $L$-functions associated to a level 1 holomorphic cusp form, twisted along a coset of subgroup of the characters modulo $q^{2/3}$ (where $q = p^3$ for some odd prime $p$). This result should be seen as a $q$-aspect analogue of Anton Good's (1982) result on upper bounds of the second moment of cusp forms in short intervals.Comment: 41 Page
We study the $2k$-th moment of central values of the family of primitive cubic and quartic Dirichlet...
Let $f$ be a normalized primitive holomorphic cusp form of even integral weight $k$ for the full mod...
summary:Let $f$, $g$ and $h$ be three distinct primitive holomorphic cusp forms of even integral wei...
Let $\pi$ be a Hecke cusp form for $\mathrm{SL}_3(\mathbb{Z})$. We bound the second moment average o...
Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P \sim M^{...
Let $\phi$ and $\phi'$ be two $\textrm{GL}(3)$ Hecke--Maass cusp forms. In this paper, we prove that...
Abstract. In a previous paper with Schmid we considered the regularity of automorphic distributions ...
We prove an upper bound for the twelfth moment of Hecke $L$-functions associated to holomorphic Heck...
AbstractWe consider the family of Rankin–Selberg convolution L-functions of a fixed SL(3,Z) Maass fo...
summary:Let $f$ be a normalized primitive holomorphic cusp form of even integral weight for the full...
summary:Let $f$ be a normalized primitive holomorphic cusp form of even integral weight for the full...
We present in this dissertation several theorems on the subject of moments of automorphic L-function...
Spectral moment formulae of various shapes have proven to be very successful in studying the statist...
Let $\pi$ be a $SL(3,\mathbb Z)$ Hecke-Maass cusp form and $\chi$ a primitive Dirichlet character of...
We establish the first moment bound (phi)Sigma L(phi circle times phi Psi, 1/2) << (epsilon) p(5/4+e...
We study the $2k$-th moment of central values of the family of primitive cubic and quartic Dirichlet...
Let $f$ be a normalized primitive holomorphic cusp form of even integral weight $k$ for the full mod...
summary:Let $f$, $g$ and $h$ be three distinct primitive holomorphic cusp forms of even integral wei...
Let $\pi$ be a Hecke cusp form for $\mathrm{SL}_3(\mathbb{Z})$. We bound the second moment average o...
Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P \sim M^{...
Let $\phi$ and $\phi'$ be two $\textrm{GL}(3)$ Hecke--Maass cusp forms. In this paper, we prove that...
Abstract. In a previous paper with Schmid we considered the regularity of automorphic distributions ...
We prove an upper bound for the twelfth moment of Hecke $L$-functions associated to holomorphic Heck...
AbstractWe consider the family of Rankin–Selberg convolution L-functions of a fixed SL(3,Z) Maass fo...
summary:Let $f$ be a normalized primitive holomorphic cusp form of even integral weight for the full...
summary:Let $f$ be a normalized primitive holomorphic cusp form of even integral weight for the full...
We present in this dissertation several theorems on the subject of moments of automorphic L-function...
Spectral moment formulae of various shapes have proven to be very successful in studying the statist...
Let $\pi$ be a $SL(3,\mathbb Z)$ Hecke-Maass cusp form and $\chi$ a primitive Dirichlet character of...
We establish the first moment bound (phi)Sigma L(phi circle times phi Psi, 1/2) << (epsilon) p(5/4+e...
We study the $2k$-th moment of central values of the family of primitive cubic and quartic Dirichlet...
Let $f$ be a normalized primitive holomorphic cusp form of even integral weight $k$ for the full mod...
summary:Let $f$, $g$ and $h$ be three distinct primitive holomorphic cusp forms of even integral wei...