Journal of Advances in Mathematics and Computer Science

Bernoulli Polynomials and Convolution Sums

Aeran Kim *

Department of Mathematics, Chonbuk National University, Chonju, Chonbuk 561-756, South Korea.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we study the summations P _(a,b,c)EN³  (f(a + b) + f(b + c) + f(c + a)) and
P_{(a;b;c;d)2N⁴}  (f(a + b + c) + f(b + c + d) + f(c + d + a)). Especially, for the first summation we
obtain some relations related to Bernoulli and Euler polynomials.

Keywords: Convolution sum, Bernoulli polynomials.

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