American Journal of Mathematics, Vol. 138, No. 3 (June 2016), pp. 821-878 (58 pages) Let f be a modular form of weight k and Nebentypus ψ. By generalizing a construction of Dabrowski and Delbourgo, we ...

Automorphic forms and L-functions have long stood at the heart of modern number theory and representation theory, providing a profound link between symmetry, arithmetic, and spectral analysis.

Analytic number theory; automorphic forms; and L-functions. Jakob Streipel's research centers around using GL(2) spectral theory in order to study automorphic forms coming from or being somehow ...

Using “refreshingly old” tools, mathematicians resolved a 50-year-old conjecture about how to categorize important functions called modular forms, with consequences for number theory and theoretical ...

“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...