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most citedVariance of sums in arithmetic progressions of arithmetic functions associated with higher degree -functions in

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math.NT2019

Moments of quadratic twists of elliptic curve L-functions over function fields

H. M. Bui, Alexandra Florea, Jonathan P. Keating +1

We calculate the first and second moments of L-functions in the family of quadratic twists of a fixed elliptic curve E over F_q[x], asymptotically in the limit as the degree of the…