Dans cette note, on construit un ensemble S de suites primitives telles que, pour tout nombre réel , on ait
In this note, we construct a set S of primitive sequences such that, for any real number , we get
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@article{CRMATH_2019__357_5_413_0, author = {Laib, Ilias and Derbal, Abdellah and Mechik, Rachid}, title = {Somme translat\'ee sur des suites primitives et la conjecture {d'Erd\"os}}, journal = {Comptes Rendus. Math\'ematique}, pages = {413--417}, publisher = {Elsevier}, volume = {357}, number = {5}, year = {2019}, doi = {10.1016/j.crma.2019.05.005}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2019.05.005/} }
TY - JOUR AU - Laib, Ilias AU - Derbal, Abdellah AU - Mechik, Rachid TI - Somme translatée sur des suites primitives et la conjecture d'Erdös JO - Comptes Rendus. Mathématique PY - 2019 SP - 413 EP - 417 VL - 357 IS - 5 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2019.05.005/ DO - 10.1016/j.crma.2019.05.005 LA - fr ID - CRMATH_2019__357_5_413_0 ER -
%0 Journal Article %A Laib, Ilias %A Derbal, Abdellah %A Mechik, Rachid %T Somme translatée sur des suites primitives et la conjecture d'Erdös %J Comptes Rendus. Mathématique %D 2019 %P 413-417 %V 357 %N 5 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2019.05.005/ %R 10.1016/j.crma.2019.05.005 %G fr %F CRMATH_2019__357_5_413_0
Laib, Ilias; Derbal, Abdellah; Mechik, Rachid. Somme translatée sur des suites primitives et la conjecture d'Erdös. Comptes Rendus. Mathématique, Tome 357 (2019) no. 5, pp. 413-417. doi : 10.1016/j.crma.2019.05.005. http://archive.numdam.org/articles/10.1016/j.crma.2019.05.005/
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[2] Upper bound of for primitive sequences, Proc. Amer. Math. Soc., Volume 117 (1993), pp. 891-895
[3] Results and conjectures related to a conjecture of Erdős concerning primitive sequences, 25 September 2017 | arXiv
[4] A remark on Stirling's formula, Amer. Math. Mon., Volume 62 (1955), pp. 26-29
[5] Approximates formulas for some functions of prime numbers, Ill. J. Math., Volume 6 (1962), pp. 64-94
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