Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions

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作者
Daeyeoul Kim
Nazli Yildiz Ikikardes
机构
[1] Yuseong-daero 1689-gil,National Institute for Mathematical Sciences
[2] Balikesir University,Department of Elementary Mathematics Education, Necatibey Faculty of Education
关键词
Bernoulli numbers; convolution sums;
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摘要
It is known that certain convolution sums can be expressed as a combination of divisor functions and Bernoulli formula. One of the main goals in this paper is to establish combinatoric convolution sums for the divisor sums σˆs(n)=∑d|n(−1)nd−1ds. Finally, we find a formula of certain combinatoric convolution sums and Bernoulli polynomials.
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