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- [11] A number theoretic function and its mean value Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 19 - 21
- [12] An arithmetical function and its mean value formula Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 95 - 97
- [13] A number theoretic function and its mean value Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 115 - 117
- [14] A new arithmetical function and its mean value properties Boletín de la Sociedad Matemática Mexicana, 2021, 27
- [15] An arithmetical function and the k-full number sequences Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 131 - 134
- [16] A new arithmetical function and its mean value properties BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021, 27 (03):
- [17] On the additive k-th power part residue function Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 119 - 122
- [18] An arithmetical function and the perfect k-th power numbers Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 91 - 94
- [19] An Arithmetic Function and the k-th Power Part of a Positive Integer MECHATRONICS AND INTELLIGENT MATERIALS II, PTS 1-6, 2012, 490-495 : 1941 - 1944
- [20] On the mean value of the k-th power part residue function Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 37 - 40