3 papers
math.NT2025
Decomposing a factorial into large factors
Boris Alexeev, Evan Conway, Matthieu Rosenfeld +4
Let denote the largest number such that can be expressed as the product of integers greater than or equal to . The bound was apparently es…
math.NT2024
Doubly isogenous curves of genus two with a rational action of
Jeremy Booher, Everett W. Howe, Andrew V. Sutherland +1
Let and be curves over a finite field , provided with embeddings and into their Jacobian varieties. Let and be the pullbacks (via these emb…
math.NT2021
From the Birch and Swinnerton-Dyer conjecture to Nagao's conjecture
Seoyoung Kim, M. Ram Murty
Let be an elliptic curve over with discriminant . For primes of good reduction, let be the number of points modulo and write . In 1…