22 citations · 41 across the 13 of their papers we have counts for
8 papers · 1 filter
Fields generated by characters of finite linear groups
Madeline Locus Dawsey, Ken Ono, Ian Wagner
In previous work, the authors confirmed the speculation of J. G. Thompson that certain multiquadratic fields are generated by specified character values of sufficiently large alter…
Sequentially congruent partitions and partitions into squares
Robert Schneider, James A. Sellers, Ian Wagner
In recent work, M. Schneider and the first author studied a curious class of integer partitions called "sequentially congruent" partitions: the th part is congruent to the $(m+1…
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…
The Jensen-Pólya program for various L-functions
Ian Wagner
Pólya proved in 1927 that the Riemann hypothesis is equivalent to the hyperbolicity of all of the Jensen polynomials of degree and shift for the Riemann Xi-function. Recent…
Multiquadratic fields generated by characters of
Madeline Locus Dawsey, Ken Ono, Ian Wagner
For a finite group , let denote the field generated over by its character values. For , G. R. Robinson and J. G. Thompson proved that $$K(A_n)=\mathbb{…
Hyperbolicity of the partition Jensen polynomials
Hannah Larson, Ian Wagner
Given an arithmetic function , one can associate a naturally defined, doubly infinite family of Jensen polynomials. Recent work of Griffin, On…
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…