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103.44 The denominators of the Bernoulli numbers

Published online by Cambridge University Press:  21 October 2019

G. J. O. Jameson
G. J. O. Jameson*
Affiliation:
Dept. of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF e-mail: g.jameson@lancaster.ac.uk
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Information
The Mathematical Gazette , Volume 103 , Issue 558 , November 2019 , pp. 541 - 548
Copyright
© Mathematical Association 2019 

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References

von Staudt, K. G. C., Beweis eines Lehrsatzes, die Bernouillischen Zahlen betreffend, J. Reine Angew. Math. 21 (1840) pp. 372–374.Google Scholar
Clausen, T., Theorem, Astron. Nach . 17 (1840) pp. 351–352.Google Scholar
Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers , Oxford Univ. Press (1979).Google Scholar
Ireland, Kenneth and Rosen, Michael, A classical introduction to modern number theory , Springer (1982).CrossRefGoogle Scholar
Apostol, Tom M., Introduction to analytic number Theory , Springer (1976).CrossRefGoogle Scholar
Carlitz, L., The Staudt-Clausen theorem, Math. Mag . 34 (1961) pp. 131–146.Google Scholar
Lucas, E., Théorie des Nombres , Paris (1891).Google Scholar
Rzadkowski, Grzegorz, A calculus-based approach to the von Staudt-Clausen theorem, Math. Gaz . 94 (July 2010) pp. 308–312.CrossRefGoogle Scholar
Gould, H. W., Explicit formulas for the Bernoulli numbers, Amer. Math. Monthly 79 (1972) pp. 44–51.Google Scholar
Cameron, P. J., Combinatorics: topics, techniques, algorithms , Cambridge University Press (1994).Google Scholar