Alexander Dunn

activity

20182020

collaborators

3 papers

math.NT2020

On a problem of Hoffstein and Kontorovich

Alexander Dunn

Let $π$ be a cuspidal automorphic representation of $GL_{2} (A_{Q})$ and $d$ be a fundamental discriminant. Hoffstein and Kontorovich ask for a bound…

math.NT2019

Bilinear forms in Weyl sums for modular square roots and applications

Alexander Dunn, Bryce Kerr, Igor E. Shparlinski +1

Let $q$ be a prime, $P \geq 1$ and let $N_{q} (P)$ denote the number of rational primes $p \leq P$ that split in the imaginary quadratic field $Q (- q)$ . The first part…

math.NT2018

Maass forms and the mock theta function $f (q)$

Scott Ahlgren, Alexander Dunn

Let $f (q) = 1 + \sum_{n = 1}^{\infty} α (n) q^{n}$ be the well-known third order mock theta of Ramanujan. In 1964, George Andrews proved an asymptotic formula of the form $$α(n)= \sum_{c\leq…

On a problem of Hoffstein and Kontorovich

Bilinear forms in Weyl sums for modular square roots and applications

Maass forms and the mock theta function f(q)

Maass forms and the mock theta function $f (q)$