22 citations · 41 across the 13 of their papers we have counts for
20 papers
Central -values of newforms and local polynomials
Joshua Males, Andreas Mono, Larry Rolen +1
In this paper, we characterize the vanishing of twisted central -values attached to newforms of square-free level in terms of certain polynomials of quadratic forms introduced b…
Jacobi forms with CM and applications
Ian Wagner
We define Jacobi forms with complex multiplication. Analogous to modular forms with complex multiplication, they are constructed from Hecke characters of the associated imaginary q…
On a new class of Laguerre-Pólya type functions with applications in number theory
Ian Wagner
We define a new class of functions, connected to the classical Laguerre-Pólya class, which we call the shifted Laguerre-Pólya class. Recent work of Griffin, Ono, Rolen, and Zagier…
Partition-theoretic formulas for arithmetic densities, II
Ken Ono, Robert Schneider, Ian Wagner
In earlier work generalizing a 1977 theorem of Alladi, the authors proved a partition-theoretic formula to compute arithmetic densities of certain subsets of the positive integers…
Eichler integrals of Eisenstein series as -brackets of weighted -hook functions on partitions
Kathrin Bringmann, Ken Ono, Ian Wagner
We consider the -hook functions on partitions defined by where…
Cranks for Ramanujan-type congruences of -colored partitions
Larry Rolen, Zack Tripp, Ian Wagner +1
Dyson famously provided combinatorial explanations for Ramanujan's partition congruences modulo and via his rank function, and postulated that an invariant explaining all o…
The Riemann Hypothesis for period polynomials of Hilbert modular forms
Angelica Babei, Larry Rolen, Ian Wagner
There have been a number of recent works on the theory of period polynomials and their zeros. In particular, zeros of period polynomials have been shown to satisfy a "Riemann Hypot…
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…
Partition-theoretic formulas for arithmetic densities
Ken Ono, Robert Schneider, Ian Wagner
If , then a theorem of Alladi offers the Möbius sum identity Here $p…
Harmonic Maass form eigencurves
Ian Wagner
We construct two families of harmonic Maass Hecke eigenforms. This construction answers a question of Mazur about the existence of an "eigencurve-type" object in the world of harmo…
Conjugacy growth series for wreath product finitary symmetric groups
Ian Wagner
In recent work, Bacher and de la Harpe define and study conjugacy growth series for finitary permutation groups. In two subsequent papers, Cotron, Dicks, and Fleming study the cong…
Congruences for powers of the partition function
Madeline Locus, Ian Wagner
Let denote the number of partitions of into colors. In analogy with Ramanujan's work on the partition function, Lin recently proved in \cite{Lin} that $p_{-3}(1…
Shifted distinct-part partition identities in arithmetic progressions
Ethan Alwaise, Robert Dicks, Jason Friedman +6
The partition function , which counts the number of partitions of a positive integer , is widely studied. Here, we study partition functions that count partitions…