2000 character limit reached
Explicit asymptotics for certain single and double exponential sums (1708.02868v3)
Published 9 Aug 2017 in math.CA
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.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.