The number of k-sums of abelian groups of order k

Hong Bing Yu

Displaying similar documents to “The number of k-sums of abelian groups of order k”

Asymptotically tight bounds on subset sums

Simon Griffiths (2009)

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A characterization of sequences with the minimum number of k-sums modulo k

Xingwu Xia, Yongke Qu, Guoyou Qian (2014)

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Let G be an additive abelian group of order k, and S be a sequence over G of length k+r, where 1 ≤ r ≤ k-1. We call the sum of k terms of S a k-sum. We show that if 0 is not a k-sum, then the number of k-sums is at least r+2 except for S containing only two distinct elements, in which case the number of k-sums equals r+1. This result improves the Bollobás-Leader theorem, which states that there are at least r+1 k-sums if 0 is not a k-sum.

Correction to "An Abelian theorem for number-theoretic sums"

L. Rubel (1961)

Acta Arithmetica

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Restricted sums of subsets of ℤ

Zhi-Wei Sun (2001)

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Powers of 2 with five distinct summands

Vsevolod F. Lev (2008)

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On the hybrid mean value of Cochrane sums and generalized Kloosterman sums

Tingting Wang (2012)

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Unification of zero-sum problems, subset sums and covers of $ℤ$ .

Sun, Zhiwei (2003)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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On Some Sets Of Integers With Equal Sums Of Like Powers

Alfred Moessner, George Xeroudakes (1954)

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Fourth power mean of character sums

Zhefeng Xu, Wenpeng Zhang (2008)

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A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums

L. Carlitz (1980)

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Homology and Direct Sums of Countable Abelian Groups.

R.J. Nunke (1967)

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Generalizations of Dedekind sums and their reciprocity laws

Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)

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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.

Negative values of cosine sums

Imre Z. Ruzsa (2004)

Acta Arithmetica

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