3 papers
math.RT2024
The Twisted Doubling Method in Algebraic Families
Johannes Girsch
We define the twisted doubling zeta integrals of Cai-Friedberg-Ginzburg-Kaplan in the setting of algebraic families. We then prove a rationality result and a functional equation fo…
math.NT2021
The Doubling Method in Algebraic Families
Johannes Girsch
We define the doubling zeta integral for smooth families of representations of classical groups. Following this we prove a rationality result for these zeta integrals and show that…
math.NT2015
Class invariants for certain non-holomorphic modular functions
Joschka J. Braun, Johannes J. Buck, Johannes Girsch
Inspired by prior work of Bruinier and Ono and Mertens and Rolen, we study class polynomials for non-holomorphic modular functions arising from modular forms of negative weight. In…