David Lowry-Duda: The Fibonacci Zeta Function and Modular Forms

Event Date
2025-04-09
Event Time
02:30 pm ~ 04:00 pm
Event Location
Wachman Hall 412

Abstract: We'll begin by looking at the lacunary zeta function $\sum 1/F(n)^s$, where $F(n)$ is the $n$th Fibonacci number. Surprisingly (at least to me), this is deeply connected to modular forms, and a small generalization is connected to counting 3-term arithmetic progressions of squares. This includes work with Eran Assaf, Chan Ieong Kuan, Thomas Hulse, Alexander Walker, and Raphael Steiner.