Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions
被引:0
作者:
Daeyeoul Kim
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机构:Yuseong-daero 1689-gil,National Institute for Mathematical Sciences
Daeyeoul Kim
Nazli Yildiz Ikikardes
论文数: 0引用数: 0
h-index: 0
机构:Yuseong-daero 1689-gil,National Institute for Mathematical Sciences
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
来源:
Advances in Difference Equations
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2013卷
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.