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math.NT2024
Ogg's conjectures over function fields
Cécile Armana, Sheng-Yang Kevin Ho, Mihran Papikian
In the early 1970s, Andrew Ogg made several conjectures about the rational torsion points of elliptic curves over and the Jacobians of modular curves. These conjecture…
math.NT2024
Non-perfect pairings between Hecke algebra and modular forms over function fields
Cécile Armana
We study two analogs, for modular forms over , of the pairing between Hecke algebra and cusp forms given by the first coefficient in the expansion. For Drinfeld…
math.NT2024
Drinfeld singular moduli, hyperbolas, units
Bruno Anglès, Cécile Armana, Vincent Bosser +1
Let be a prime power and consider Drinfeld modules of rank 2 over . We prove that there are no points with coordinates being Drinfeld singular moduli, on…