Tim Huber

collaborators

3 papers

math.NT2026

Vanishing Coefficients in Products of Quintuple Products

Taylor Daniels, Tim Huber, James McLaughlin +1

Explicit arithmetic progressions modulo primes $p \equiv 1 (mod 4)$ are derived in which the coefficients in the expansions of products of quintuple products vanish. In particular…

math.NT2026

The $p$ -Dissection of a Product of Quintuple Products

Taylor Daniels, Timothy Huber, James McLaughlin +1

Let $p \equiv 1 (mod 4)$ be prime, let $m$ and $n$ be integers such that $p = m^{2} + n^{2}$ , and let $b$ be a positive integer. Let $Q(z,q) = (z,q/z,q;q)_{\infty}(qz^2,q/z^2;q^2)_{\infty…

math.NT2025

Identical Vanishing of Coefficients in the Series Expansion of Eta Quotients, modulo 4, 9 and 25

Tim Huber, James McLaughlin, Dongxi Ye

Let $A (q) = \sum_{n = 0}^{\infty} a_{n} q^{n}$ and $B (q) = \sum_{n = 0}^{\infty} b_{n} q^{n}$ be two eta quotients. Previously, we considered the problem of when \[ a_n=0 <=> b_n=0. \] Here we consi…

Vanishing Coefficients in Products of Quintuple Products

The p-Dissection of a Product of Quintuple Products

Identical Vanishing of Coefficients in the Series Expansion of Eta Quotients, modulo 4, 9 and 25

The $p$ -Dissection of a Product of Quintuple Products