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1 results

  • Ramanujan Congruences For p-k(n) Modulo Powers Of 17

  • Kim Hughes
  • Journal:
    Canadian Journal of Mathematics / Volume 43 / Issue 3 / 01 June 1991
    Published online by Cambridge University Press:
    20 November 2018, pp. 506-525
    Print publication:
    01 June 1991
    • Article
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  • For each integer r we define the sequence pr(n) by We note that p-1(n) = p(n), the ordinary partition function. On account of this some authors set r = — k to make positive values of k correspond to positive powers of the generating function for p(n): We follow this convention here. In [3], Atkin proved the following theorem.