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Two algebraic identities and the unboundedness of a restricted partition function


Author: Culbreth Sudler
Journal: Proc. Amer. Math. Soc. 15 (1964), 16-20
MSC: Primary 10.48
DOI: https://doi.org/10.1090/S0002-9939-1964-0156831-7
Erratum: Proc. Amer. Math. Soc. 15 (1964), 1000.
MathSciNet review: 0156831
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References [Enhancements On Off] (What's this?)

  • [1] L. E. Dickson, History of the theory of numbers, Vol. II, Chelsea, New York, 1952.
  • [2] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, Oxford, 1960.
  • [3] C. A. Nicol and H. S. Vandiver, On generating functions for restricted partitions of rational integers, Proc. Nat. Acad. Sci. U. S. A. 41 (1955), 37–42; errata, 251. MR 0078400
  • [4] C. Sudler Jr., An estimate for a restricted partition function, Quart. J. Math. Oxford Ser. (2) 15 (1964), 1–10. MR 0163890, https://doi.org/10.1093/qmath/15.1.1

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DOI: https://doi.org/10.1090/S0002-9939-1964-0156831-7
Article copyright: © Copyright 1964 American Mathematical Society