О новом тождестве для двойной суммы, связанной с числами Бернулли
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 (ORCID: https://orcid.org/0000-0002-5712-9011)
- Брахим Митту
Institutions
- University of Ouargla (DZ)
- École Normale Supérieure de Kouba (DZ)
Publication Details
- Journal
- SibFU Digital Repository (Siberian Federal University)
- Published
- 2024-08-15
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00