21 citations · 42 across the 10 of their papers we have counts for
11 papers
-adic moments of -functions
Daniel Kriz, Asbjørn Christian Nordentoft
We obtain a formula for the -adic valuation of weighted moments of central -values of holomorphic cusp forms twisted by Dirichlet characters of order . In some cases we gi…
Horizontal -adic -functions
Daniel Kriz, Asbjørn Christian Nordentoft
We define new objects called 'horizontal -adic -functions' associated to -values of twists of elliptic curves over by characters of -power order and conduc…
Supersingular main conjectures, Sylvester's conjecture and Goldfeld's conjecture
Daniel Kriz
We prove a -converse theorem for elliptic curves with complex multiplication by the ring of integers of an imaginary quadratic field in which…
A New -adic Maass-Shimura operator and Supersingular Rankin-Selberg -adic -functions
Daniel Kriz
We give a construction of a new -adic Maass-Shimura operator defined on an affinoid subdomain of the preperfectoid -adic universal cover of a modular curve .…
Prime twists of elliptic curves
Daniel Kriz, Chao Li
For certain elliptic curves with , we prove a criterion for prime twists of to have analytic rank 0 or 1, based on a mo…
Heegner points at Eisenstein primes and twists of elliptic curves
Daniel Kriz, Chao Li
Given an elliptic curve over , a celebrated conjecture of Goldfeld asserts that a positive proportion of its quadratic twists should have analytic rank 0 (resp. 1).…