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- W2788296070 abstract "We prove that the existence of exceptional real zeroes of Dirichlet $L$-functions would lead to cancellations in the sum $sum_{pleq x} Kl(1, p)$ of Kloosterman sums over primes, and also to sign changes of $Kl(1, n)$, where $n$ runs over integers with exactly two prime factors. Our arguments involve a variant of Bombieri's sieve, bounds for twisted sums of Kloosterman sums, and work of Fouvry and Michel on sums of $left| Kl(1, n)right|$." @default.
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- W2788296070 date "2018-10-03" @default.
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- W2788296070 title "Sign changes of Kloosterman sums and exceptional characters" @default.
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- W2788296070 doi "https://doi.org/10.1090/proc/14239" @default.
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