Displaying similar documents to “On subset sums of a fixed set”

Kloosterman sums in residue classes

Valentin Blomer, Djordje Milićević (2015)

Journal of the European Mathematical Society

Similarity:

We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithmetic progressions, which is of square-root strength in any fixed primitive congruence class up to bounds towards the Ramanujan conjecture.

The hybrid power mean of quartic Gauss sums and Kloosterman sums

Li Xiaoxue, Hu Jiayuan (2017)

Open Mathematics

Similarity:

The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.

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

Chang Leran, Li Xiaoxue (2016)

Open Mathematics

Similarity:

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.