On the arithmetic mean of Dedekind sums

Kurt Girstmair; Johannes Schoißengeier

Displaying similar documents to “On the arithmetic mean of Dedekind sums”

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Yong-Gao Chen (2003)

Acta Arithmetica

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Arithmetic progressions in sums of subsets of sparse sets

Tomasz Schoen (2011)

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Sums of multiplicative function in special arithmetic progressions

Bin Feng (2019)

Czechoslovak Mathematical Journal

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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).

Kloosterman sums in residue classes

Valentin Blomer, Djordje Milićević (2015)

Journal of the European Mathematical Society

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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.