Tim Gillespie

collaborators

3 papers

math.NT2022

Double square moments and bounds for resonance sums of cusp forms

Tim Gillespie, Praneel Samanta, Yangbo Ye

Let $f$ and $g$ be holomorphic cusp forms for the modular group $S L_{2} (Z)$ of weight $k_{1}$ and $k_{2}$ with Fourier coefficients $λ_{f} (n)$ and $λ_{g} (n)$ , respectively. For real…

math.NT2009

Solvable Base Change and Rankin-Selberg Convolutions

Tim Gillespie

Given unitary automorphic cuspidal representations $π$ and $π^{'}$ defined on $G L_{n} (A_{E})$ and $G L_{m} (A_{F})$ , respectively, with $E$ and $F$ solvable algebraic number f…

math.NT2009

A Prime Number Theorem for Rankin-Selberg L-functions over Number fields

Tim Gillespie, Guanghua Ji

We prove a prime number theorem first for the classical Rankin-Selberg L-function $L (s, π \times π^{'})$ over any Galois extension with $π$ and $π^{'}$ unitary automorphic cuspidal represen…