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math.NT2013
Elliptic curves of unbounded rank and Chebyshev's bias
Daniel Fiorilli
We establish a conditional equivalence between quantitative unboundedness of the analytic rank of elliptic curves over and the existence of highly biased elliptic curve…
math.NT2013
The distribution of the variance of primes in arithmetic progressions
Daniel Fiorilli
Hooley conjectured that the variance V(x;q) of the distribution of primes up to x in the arithmetic progressions modulo q is asymptotically x log q, in some unspecified range of q\…