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Proceedings of the American Mathematical Society

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An explicit summation formula and its application


Author: Leon Bernstein
Journal: Proc. Amer. Math. Soc. 25 (1970), 323-334
MSC: Primary 10.05; Secondary 05.00
DOI: https://doi.org/10.1090/S0002-9939-1970-0255477-2
MathSciNet review: 0255477
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  • [1] Leon Bernstein, The modified algorithm of Jacobi-Perron, Mem. Amer. Math. Soc. No. 67 (1966), 44. MR 0205446
  • [2] Leon Bernstein, The linear Diophantine equation in 𝑛 variables and its application to generalized Fibonacci numbers, Fibonacci Quart. 6 (1968), 1–63. MR 0225708
  • [3] Leon Bernstein, A probability function for partitions, Amer. Math. Monthly 75 (1968), 882–886. MR 0232469, https://doi.org/10.2307/2314350
  • [4] C. G. J. Jacobi, Allgemeine Theorie der kettenbruchaehnlichen Algorithmen, in welchen jede Zahl aus drei vorhergehenden gebildet wird, J. Reine Angew. Math. 69 (1868).
  • [5] Oscar Perron, Grundlagen fuer eine Theorie des Jacobischen Kettenbruchalgorithmus, Math. Ann. 64 (1907).
  • [6] Leon Bernstein and Helmut Hasse, Einheitenberechnung mittels des Jacobi-Perronschen Algorithmus, J. Reine Angew. Math. 218 (1965), 51–69 (German). MR 0180530

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DOI: https://doi.org/10.1090/S0002-9939-1970-0255477-2
Article copyright: © Copyright 1970 American Mathematical Society