Year: 2024
Type: article
Abstract: Let m, n and l be integers with 0 6 l 6 m + n. It is the main purpose of this paper to give an identity for the sum: m∑ a=0 n∑ b=0 a+b>m+n−l Bm−aBn−b (m a )(n b ) a + b + 1 ( a + b + 1 m + n − l ) , where Bm (m = 0, 1, 2, . . . ) is the Bernoulli number. As corollary we prove that the above sum equal to 1 2 when l = 0
Authors: Brahim Mittou, Брахим Митту
Institution: University of Ouargla
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7133012819
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