2 papers
math.NT2025
Murmurations and Sato-Tate Conjectures for High Rank Zetas of Elliptic Curves II: Beyond Riemann Hypothesis
Zhan Shi, Lin Weng
As a continuation of our earlier paper, we offer a new approach to murmurations and Sato-Tate laws for higher rank zetas of elliptic curves. Our approach here does not depend on th…
math.NT2024
Murmurations and Sato-Tate Conjectures for High Rank Zetas of Elliptic Curves
Zhan Shi, Lin Weng
For elliptic curves over rationals, there are a well-known conjecture of Sato-Tate and a new computational guided murmuration phenomenon, for which the abelian Hasse-Weil zeta func…