77 citations · 784 across the 49 of their papers we have counts for
4 papers · 2 filters
Congruences for traces of singular moduli
Robert Osburn
We extend a result of Ahlgren and Ono on congruences for traces of singular moduli of level 1 to traces defined in terms of Hauptmodul associated to certain groups of genus 0 of hi…
A remark on a conjecture of Borwein and Choi
Robert Osburn
We prove the remaining case of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n=x^2+Ny^2 for a squarefree integer N.
Representations of integers by certain positive definite binary quadratic forms
Ram Murty, Robert Osburn
We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n=x^2+Ny^2 for a squarefree integer N.
Vanishing of eigenspaces and cyclotomic fields
Robert Osburn
We use a result of Thaine to give an alternative proof of the fact that, for a prime p>3 congruent to 3 modulo 4, the component e_{(p+1)/2} of the p-Sylow subgroup of the ideal cla…