18 citations · 36 across the 14 of their papers we have counts for
4 papers · 2 filters
On a conjecture of Berndt and Kim
Kathrin Bringmann, Amanda Folsom
We prove a recent conjecture of Berndt and Kim regarding the positivity of the coefficients in the asymptotic expansion of a class of partial theta functions. This generalizes resu…
Almost harmonic Maass forms and Kac-Wakimoto characters
Kathrin Bringmann, Amanda Folsom
We resolve a question of Kac, and explain the automorphic properties of characters due to Kac-Wakimoto pertaining to sl(m|n)^ highest weight modules, for n \geq 1. We prove that th…
Partial theta functions and mock modular forms as q-hypergeometric series
Kathrin Bringmann, Amanda Folsom, Robert C. Rhoades
Ramanujan studied the analytic properties of many -hypergeometric series. Of those, mock theta functions have been particularly intriguing, and by work of Zwegers, we now know h…
The probability that the number of points on the Jacobian of a genus 2 curve is prime
Wouter Castryck, Amanda Folsom, Hendrik Hubrechts +1
In 2000, Galbraith and McKee heuristically derived a formula that estimates the probability that a randomly chosen elliptic curve over a fixed finite prime field has a prime number…