17 papers
Vanishing of Quartic and Sextic Twists of -functions
Jennifer Berg, Nathan C. Ryan, Matthew P. Young
Let be an elliptic curve over . We conjecture asymptotic estimates for the number of vanishings of as varies over all primitive Dirichlet characters…
The large sieve for self-dual Eisenstein series of varying levels
Matthew P Young
We prove an essentially optimal large sieve inequality for self-dual Eisenstein series of varying levels. This bound can alternatively be interpreted as a large sieve inequality fo…
Reciprocity and the Kernel of Dedekind Sums
Alexis LaBelle, Emily Van Bergeyk, Matthew P. Young
We use the action of Atkin-Lehner operators to generate a family of reciprocity formulas for newform Dedekind sums. This family of reciprocity formulas provides symmetries which we…
An improved spectral large sieve inequality for
Matthew P. Young
We prove an improved spectral large sieve inequality for the family of Hecke-Maass cusp forms. The method of proof uses duality and its structure reveals unexpec…
Moments and hybrid subconvexity for symmetric-square L-functions
Rizwanur Khan, Matthew P. Young
We establish sharp bounds for the second moment of symmetric-square -functions attached to Hecke Maass cusp forms with spectral parameter , where the second moment is…
The kernel of newform Dedekind sums
Evuilynn Nguyen, Juan J. Ramirez, Matthew P. Young
Newform Dedekind sums are a class of crossed homomorphisms that arise from newform Eisenstein series. We initiate a study of the kernel of these newform Dedekind sums. Our results…