摘要：In this paper, we investigate the convolution sums ∑ ( a + b + c ) x = n a , ∑ a x + b y = n a b , ∑ a x + b y + c z = n a b c , ∑ a x + b y + c z + d u = n a b c d , where a , b , c , d , x , y , z , u , n ∈ N . Many new equalities and inequalities involving convolution sums, Bernoulli numbers and divisor functions have also been given. MSC:11A05, 33E99.
关键词：inequality of Diophantine equations ; Bernoulli numbers ; convolution sums
