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arXiv · 1708.02868

Explicit asymptotics for certain single and double exponential sums

Konstantinos Kalimeris·Athanassios S. Fokas
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Abstract

By combining classical techniques together with two novel asymptotic identities contained in [FL], we analyse certain single sums of Riemann-zeta type. In addition, we analyse Euler-Zagier double exponential sums for particular values of $Re\{u\}$ and $Re\{v\}$ and for a variety of sets of summation, as well as particular cases of Mordell-Tornheim double sums. Some of these results are used in [F] where a novel approach to the Lindel\"of hypothesis is presented.

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BibTeXRIS

Konstantinos Kalimeris, Athanassios S. Fokas. 2017-08-09. Explicit asymptotics for certain single and double exponential sums. https://arxiv.org/abs/1708.02868

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