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102.06 A new elementary proof of Euler's continued fractions

Published online by Cambridge University Press:  08 February 2018

Joseph Tonien
Joseph Tonien*
Affiliation:
Institute of Cybersecurity and Cryptology, School of Computing and Information Technology, University of Wollongong, Australia e-mail: joseph_tonien@uow.edu.au
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Abstract

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Type
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Information
The Mathematical Gazette , Volume 102 , Issue 553 , March 2018 , pp. 105 - 111
Copyright
Copyright © Mathematical Association 2018 

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References

1. Olds, C. D., Continued fractions, The Mathematical Association of America (1963).CrossRefGoogle Scholar
2. Wiener, M., Cryptanalysis of short RSA secret exponents, IEEE Transactions on Information Theory 36 (1990) pp. 553–558.CrossRefGoogle Scholar
3. Bunder, M. and Tonien, J., A new attack on the RSA cryptosystem based on continued fractions, Malaysian Journal of Mathematical Sciences 11 (S) (August 2017) pp. 45–57.Google Scholar
4. Euler, L., De fractionibus continuis dissertatio, Commentarii Academiae Scientiarum Petropolitanae 9 (1744) pp. 98–137. Available at http://eulerarchive.maa.org/pages/E071.html Google Scholar
5. Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers, (6th edn.) Oxford University Press (2008).Google Scholar