3 papers
math.NT2025
A family of analogues to the Robin criterion
Steve Fan, Mits Kobayashi, Grant Molnar
The Robin criterion states that the Riemann hypothesis is equivalent to the inequality for all , where is the sum of divisors of , and $…
math.NT2024
Positive spoof Lehmer factorizations
Grant Molnar, Guntas Singh
We investigate the integer solutions of Diophantine equations related to Lehmer's totient conjecture. We give an algorithm that computes all nontrivial spoof Lehmer factorizations…
math.NT2024
Counting elliptic curves with a cyclic -isogeny over
Grant Molnar
Using methods from analytic number theory, for and for , we obtain asymptotics with power-saving error terms for counts of elliptic curves with a cyclic -isogeny…