Search Results for author: Michael Griffin

Found 3 papers, 0 papers with code

The arithmetic of modular grids

no code implementations28 Dec 2020 Michael Griffin, Paul Jenkins, Grant Molnar

A modular grid is a pair of sequences $(f_m)_m$ and $(g_n)_n$ of weakly holomorphic modular forms such that for almost all $m$ and $n$, the coefficient of $q^n$ in $f_m$ is the negative of the coefficient of $q^m$ in $g_n$.

Number Theory 11F30, 11F37

Jensen Polynomials for the Riemann Xi Function

no code implementations2 Oct 2019 Michael Griffin, Ken Ono, Larry Rolen, Jesse Thorner, Zachary Tripp, Ian Wagner

We investigate Riemann's xi function $\xi(s):=\frac{1}{2}s(s-1)\pi^{-\frac{s}{2}}\Gamma(\frac{s}{2})\zeta(s)$ (here $\zeta(s)$ is the Riemann zeta function).

Number Theory

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