The Fibonacci zeta function and dihedral Maass forms

2:00pm, Wednesday 26th February

Abstract

 In a method analogous to the creation of the Riemann zeta function, one may form a Dirichlet series from the indicator function of the Fibonacci sequence.

This series has been shown to have meromorphic continuation. In this talk, I will talk about how the meromorphic continuation of this function, as well as some more general constructions, can be deduced from a perspective of modular forms. In particular, we will observe an interesting relation to dihedral Maass forms.

This is joint work with Chan Ieong Kuan, David Lowry-Duda and Alexander Walker.