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On two conjectural congruences of Sun involving harmonic numbers.
- Source :
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Jul2023, Vol. 117 Issue 3, p1-8, 8p
- Publication Year :
- 2023
-
Abstract
- We confirm two conjectural congruences of Sun in Sun (Int J Math 26(8):1550055, 2015): ∑ k = 1 (p - 1) / 2 4 k H 2 k - 1 k 2 2 k k ≡ 7 2 B p - 3 (mod p) <graphic href="13398_2023_1422_Article_Equ23.gif"></graphic> and ∑ k = 1 p - 1 2 k k k 4 k H 2 k ≡ 7 3 p B p - 3 (mod p 2) <graphic href="13398_2023_1422_Article_Equ24.gif"></graphic> for any prime p ≥ 5 , where H n is the n-th harmonic number and B n is the n-th Bernoulli number. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15787303
- Volume :
- 117
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM
- Publication Type :
- Periodical
- Accession number :
- 163103206
- Full Text :
- https://doi.org/10.1007/s13398-023-01422-w