Grant Molnar

activity

20152026

most citedGraphs with the strong Havel-Hakimi property

4 citations · 6 across the 14 of their papers we have counts for

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math.NT2026

Reciprocal LCM powers and Robin's criterion

Grant Molnar

For $κ > 1$ , we study the reciprocal LCM-power function \[ σ^{[κ]}_{-1}(n) := \sum_{d \mid n}μ(d)\,σ_{-1}(n / d)^κ. \] We determine its average and extremal orders. A natural Robin-…

math.NT2022

Counting elliptic curves over the rationals with a 7-isogeny

Grant Molnar, John Voight

We count by height the number of elliptic curves over the rationals, both up to isomorphism over the rationals and over an algebraic closure thereof, that admit a cyclic isogeny of…

math.NT2021★ 1 cited

Fast-growing series are transcendental

Robert Dawson, Grant Molnar

Let $R$ be a subring of $C [[z]]$ , and let $X \in C [[z]]$ . The Newton-Puiseux Theorem implies that if the coefficients of $X$ grow sufficiently rapidly relative to…

math.NT2020

The arithmetic of modular grids

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 neg…

math.NT2017

Zagier duality for level $p$ weakly holomorphic modular forms

Paul Jenkins, Grant Molnar

We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level $p$ with $11 \leq p \leq 37$ with poles on…