Generalized L-functions related to the Riemann zeta function

2023/05/22 by Bringmann, Kathrin, Kane, Ben, Varadharajan, Srimathi
#11F12 #11M06 #11M41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2305.13038

Abstract

In this paper, we construct generalized L-functions associated to meromorphic modular forms of weight \frac12 for the theta group with a single simple pole in the fundamental domain. We then consider their behaviour towards i∞ and relate this to the Riemann zeta function.

Related

• Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function
• Laurent series expansions of L-functions
• The standard L-function attached to a vector valued modular form
• Zeta functions in higher Teichmuller theory
• The Fibonacci Zeta Function and Modular Forms