Robert Dicks

collaborators

3 papers

math.NT2026

Quadratic Congruences for half-integral weight cusp forms with the eta multiplier

Robert Dicks

Let $ℓ \geq 5$ be a prime, and let $I^½_{I^} \cdot$ denote the Dedekind eta multiplier. For an odd integer $r$ , and a real Dirichlet character $I ¨ $ , recent work of Ahlgren, Andersen, and…

math.NT2025

Congruences like Atkin's for generalized Frobenius partitions

Scott Ahlgren, Nickolas Andersen, Robert Dicks

In the 1960s Atkin discovered congruences modulo primes $ℓ \leq 31$ for the partition function $p (n)$ in arithmetic progressions modulo $ℓ Q^{3}$ , where $Q \neq = ℓ$ is prime. R…

math.NT2025

Zeros of symmetric power period polynomials

Robert Dicks, Hui Xue

Suppose that $k$ and $N$ are positive integers. Let $f$ be a newform on $I^_{0} (N)$ of weight $k$ with $L$ -function $L_{f} (s)$ . Previous works have studied the zeros of the period poly…