117 citations · 201 across the 56 of their papers we have counts for
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Jensen Polynomials for the Riemann Xi Function
Michael Griffin, Ken Ono, Larry Rolen +3
We investigate Riemann's xi function (here is the Riemann zeta function). The Riemann Hypothesis (RH) asserts tha…
Pair correlation for Dedekind zeta functions of abelian extensions
David de Laat, Larry Rolen, Zack Tripp +1
Here we study problems related to the proportions of zeros, especially simple and distinct zeros on the critical line, of Dedekind zeta functions. We obtain new bounds on a countin…
Mock modular Eisenstein series with Nebentypus
Michael H. Mertens, Ken Ono, Larry Rolen
By the theory of Eisenstein series, generating functions of various divisor functions arise as modular forms. It is natural to ask whether further divisor functions arise systemati…
Periodicities for Taylor coefficients of half-integral weight modular forms
Pavel Guerzhoy, Michael H. Mertens, Larry Rolen
Congruences of Fourier coefficients of modular forms have long been an object of central study. By comparison, the arithmetic of other expansions of modular forms, in particular Ta…
Jensen polynomials for the Riemann zeta function and other sequences
Michael Griffin, Ken Ono, Larry Rolen +1
In 1927 Pólya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for the Riemann zeta function at its point of symmetry. This hyperb…
A note on Schwartz functions and modular forms
Larry Rolen, Ian Wagner
We generalize the recent work of Viazovska by constructing infinite families of Schwartz functions, suitable for Cohn-Elkies style linear programming bounds, using quasi-modular an…