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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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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References [Enhancements On Off] (What's this?)

  • Leon Bernstein, The modified algorithm of Jacobi-Perron, Mem. Amer. Math. Soc. 67 (1966), 44. MR 205446
  • Leon Bernstein, The linear Diophantine equation in $n$ variables and its application to generalized Fibonacci numbers, Fibonacci Quart. 6 (1968), 1–63. MR 225708
  • Leon Bernstein, A probability function for partitions, Amer. Math. Monthly 75 (1968), 882–886. MR 232469, DOI https://doi.org/10.2307/2314350
  • C. G. J. Jacobi, Allgemeine Theorie der kettenbruchaehnlichen Algorithmen, in welchen jede Zahl aus drei vorhergehenden gebildet wird, J. Reine Angew. Math. 69 (1868). Oscar Perron, Grundlagen fuer eine Theorie des Jacobischen Kettenbruchalgorithmus, Math. Ann. 64 (1907).
  • Leon Bernstein and Helmut Hasse, Einheitenberechnung mittels des Jacobi-Perronschen Algorithmus, J. Reine Angew. Math. 218 (1965), 51–69 (German). MR 180530

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Article copyright: © Copyright 1970 American Mathematical Society