Aaron Pollack

activity

20142023

most citedThe Fourier expansion of modular forms on quaternionic exceptional groups

12 citations · 41 across the 17 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

math.NT2018

The minimal modular form on quaternionic $E_{8}$

Aaron Pollack

Suppose that $G$ is a simple reductive group over $Q$ , with an exceptional Dynkin type, and with $G (R)$ quaternionic (in the sense of Gross-Wallach). In a previou…

math.NT2018

Modular forms on $G_{2}$ and their standard $L$ -function

Aaron Pollack

The purpose of this partly expository paper is to give an introduction to modular forms on $G_{2}$ . We do this by focusing on two aspects of $G_{2}$ modular forms. First, we discuss th…

math.NT2018

A $G_{2}$ -period of a Fourier coefficient of an Eisenstein series on $E_{6}$

Aaron Pollack, Chen Wan, Michał Zydor

We calculate a $G_{2}$ -period of a Fourier coefficient of a cuspidal Eisenstein series on the split simply-connected group $E_{6}$ , and relate this period to the Ginz…

math.NT2018★ 12 cited

The Fourier expansion of modular forms on quaternionic exceptional groups

Aaron Pollack

Suppose that $G$ is a simple adjoint reductive group over $Q$ , with an exceptional Dynkin type, and with $G (R)$ quaternionic (in the sense of Gross-Wallach). Then…

math.NT2018★ 3 cited

A class number formula for Picard modular surfaces

Aaron Pollack, Shrenik Shah

We investigate arithmetic aspects of the middle degree cohomology of compactified Picard modular surfaces $X$ attached to the unitary similitude group $GU (2, 1)$ for an ima…

The minimal modular form on quaternionic E8​

Modular forms on G2​ and their standard L-function

A G2​-period of a Fourier coefficient of an Eisenstein series on E6​

The Fourier expansion of modular forms on quaternionic exceptional groups

A class number formula for Picard modular surfaces

The minimal modular form on quaternionic $E_{8}$

Modular forms on $G_{2}$ and their standard $L$ -function

A $G_{2}$ -period of a Fourier coefficient of an Eisenstein series on $E_{6}$