26 citations · 85 across the 20 of their papers we have counts for
28 papers
Congruences like Atkin's for generalized Frobenius partitions
Scott Ahlgren, Nickolas Andersen, Robert Dicks
In the 1960s Atkin discovered congruences modulo primes for the partition function in arithmetic progressions modulo , where is prime. R…
The Shimura lift and congruences for modular forms with the eta multiplier
Scott Ahlgren, Nickolas Andersen, Robert Dicks
The Shimura correspondence is a fundamental tool in the study of half-integral weight modular forms. In this paper, we prove a Shimura-type correspondence for spaces of half-integr…
An infinite family of vector-valued mock theta functions
Nickolas Andersen, Clayton Williams
We exhibit an infinite family of vector-valued mock theta functions indexed by positive integers coprime to . These are built from specializations of Dyson's rank generating fun…
Hybrid subconvexity and the partition function
Nickolas Andersen, Han Wu
We give an upper bound for the error term in the Hardy-Ramanujan-Rademacher formula for the partition function. The main input is a new hybrid subconvexity bound for the central va…
The Kohnen-Zagier formula for Maass forms for
Nickolas Andersen
We extend a formula of Duke, Imamōglu, and Tóth (which itself is a generalization of the Katok-Sarnak formula) to prove the Kohnen-Zagier formula for Maass forms for .
Non-convex geometry of numbers and continued fractions
Nickolas Andersen, William Duke, Zach Hacking +1
In recent work, the first two authors constructed a generalized continued fraction called the -continued fraction, characterized by the property that its convergents (a subseque…