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A Note on Giuga's Conjecture

Published online by Cambridge University Press:  20 November 2018

Vicentiu Tipu
Vicentiu Tipu*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4 e-mail: vtipu@math.utoronto.ca
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Abstract

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Let $G\left( X \right)$ denote the number of positive composite integers $n$ satisfying $\sum\nolimits_{j=1}^{n-1}{{{j}^{n-1}}}\equiv -1\left( \,\bmod \,n \right)$ . Then $G\left( X \right)\ll {{X}^{1/2}}\log \,X$ for sufficiently large $X$ .

Keywords

11A51

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 158 - 160
Copyright
Copyright © Canadian Mathematical Society 2007

References

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