4 papers
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…
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…
Supersingular Loci from Traces of Hecke Operators
Kevin Gomez, Kaya Lakein, Anne Larsen
A classical observation of Deligne shows that, for any prime , the divisor polynomial of the Eisenstein series mod is closely related to the supersingula…
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…