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math.NT2019
An explicit Pólya-Vinogradov inequality via Partial Gaussian sums
Matteo Bordignon, Bryce Kerr
In this paper we obtain a new fully explicit constant for the Pólya-Vinogradov inequality for squarefree modulus. Given a primitive character to squarefree modulus , we prov…
math.NT2019
Explicit bounds on exceptional zeroes of Dirichlet L-function II
Matteo Bordignon
This paper improves the upper bound for the exceptional zeroes of Dirichlet L-functions with even characters. The result is obtained by improving on explicit estimate for …