Alexander Dunn

activity

20162026

most citedThe twisted second moment of modular half integral weight

L

--functions

4 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

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…

math.NT2018

Sums of Kloosterman sums over primes in an arithmetic progression

Alexander Dunn, Alexandru Zaharescu

For $q$ prime, $X \geq 1$ and coprime $u, v \in N$ we estimate the sums \begin{equation*} \sum_{\substack{p \leq X \substack p \equiv u \hspace{-0.25cm} \mod{v} p \text{ pr…

Maass forms and the mock theta function f(q)

Sums of Kloosterman sums over primes in an arithmetic progression

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