Tim Gillespie

collaborators

Showing math.NTShow all

2 papers · 1 filter

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…