3 papers
math.NT2021
Some Remarks on Small Values of
Kaya Lakein, Anne Larsen
A natural variant of Lehmer's conjecture that the Ramanujan -function never vanishes asks whether, for any given integer , there exist any such that $τ(n…
math.NT2021
A Proof of Merca's Conjectures on Sums of Odd Divisor Functions
Kaya Lakein, Anne Larsen
In a recent paper, Merca posed three conjectures on congruences for specific convolutions of a sum of odd divisor functions with a generating function for generalized -gonal num…
math.NT2020
On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves
Talia Blum, Caroline Choi, Alexandra Hoey +3
The Mordell-Weil groups of elliptic curves influence the structures of their quadratic twists and the ideal class groups of i…