On the Hybrid Mean Value of the Square Residue

Qi Lan

doi:10.4028/www.scientific.net/AMR.936.2259

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 936On the Hybrid Mean Value of the Square Residue

On the Hybrid Mean Value of the Square Residue

Abstract:

Let n be a positive integer, denote S(n) the square residue.This paper is mainly to study the hybrid mean value properties of the square residue S(n) and the Mangoldt function,and give an interesting asymptotic formula.

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Periodical:

Advanced Materials Research (Volume 936)

Pages:

2259-2262

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.936.2259

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Online since:

June 2014

Authors:

Qi Lan*

Keywords:

Asymptotic Formula, Mangoldt Function, Square Residue

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References

[1] F. Smarandache, Only problems, Not solutions, Xiquan Publ. House, Chicago, (1993).

Google Scholar

[2] G. Su, On the mean value of square residue, Journal of Yanan University. 21(4) (2002)8-9.

Google Scholar

[3] W. Mingjun. On the mean value of square residue. Journal of Weinan Teachers University. 24(2)(2009)18-19.

Google Scholar

[4] G. Dan and H. Yanfeng. On some mean value formulas of the square residues, Basic Sciences Journal of Textile University. 17(1)(2004)7-10.

Google Scholar

[5] Z. Wenpeng, Research on Smarandache problems in Number Theory(collected papers), Hexis, Phoenix, (2004).

Google Scholar

[6] Z. Wenpeng,L. Junzhuang,L. Duansen, Research on Smarandache problems in Number Theory (collected papers) (Vol. 2), Hexis, Phoenix, (2005).

Google Scholar

[7] T.M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, (1976).

Google Scholar