Displaying similar documents to “On the Bombieri-Korobov estimate for Weyl sums”

Sums of three cubes, II

Trevor D. Wooley (2015)

Acta Arithmetica

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Estimates are provided for sth moments of cubic smooth Weyl sums, when 4 ≤ s ≤ 8, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.

The hybrid mean value of Dedekind sums and two-term exponential sums

Chang Leran, Li Xiaoxue (2016)

Open Mathematics

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In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.