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math.NT2021
-Functions of Elliptic Curves Modulo Integers
Félix Baril Boudreau
In 1985, Schoof devised an algorithm to compute zeta functions of elliptic curves over finite fields by directly computing the numerators of these rational functions modulo suffici…
math.NT2021
Explicit zero density for the Riemann zeta function
Habiba Kadiri, Allysa Lumley, Nathan Ng
Let denote the number of nontrivial zeros of the Riemann zeta function with real part greater than and imaginary part between and . We provide explicit upper bo…