In this paper, we establish some combinatorial identities involving harmonic numbers via the package Sigma, by which we confirm some conjectural congruences of Z.-W. Sun. For example, for any prime , we have
Nous montrons ici, à l'aide du progiciel Sigma, quelques identités combinatoires faisant intervenir les nombres harmoniques. Nous établissons ainsi des congruences conjecturées par Z.-W. Sun. Par exemple, pour premier, on a
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Guo-Shuai Mao 1; Chen Wang 2; Jie Wang 2
@article{CRMATH_2019__357_10_756_0, author = {Guo-Shuai Mao and Chen Wang and Jie Wang}, title = {Symbolic summation methods and congruences involving harmonic numbers}, journal = {Comptes Rendus. Math\'ematique}, pages = {756--765}, publisher = {Elsevier}, volume = {357}, number = {10}, year = {2019}, doi = {10.1016/j.crma.2019.10.005}, language = {en}, }
TY - JOUR AU - Guo-Shuai Mao AU - Chen Wang AU - Jie Wang TI - Symbolic summation methods and congruences involving harmonic numbers JO - Comptes Rendus. Mathématique PY - 2019 SP - 756 EP - 765 VL - 357 IS - 10 PB - Elsevier DO - 10.1016/j.crma.2019.10.005 LA - en ID - CRMATH_2019__357_10_756_0 ER -
Guo-Shuai Mao; Chen Wang; Jie Wang. Symbolic summation methods and congruences involving harmonic numbers. Comptes Rendus. Mathématique, Volume 357 (2019) no. 10, pp. 756-765. doi : 10.1016/j.crma.2019.10.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.10.005/
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