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Original Articles

More Monotonicity Theorems for Partitions

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Pages 31-37 | Published online: 03 Apr 2012

REFERENCES

  • Andrews , G. E. 1976 . The Theory of Partitions Reading , MA : Encyclopedia of Mathematics and Its Applications 2, Addison-Wesley. . [Andrews 1976], (reissued by Cambridge Univ. Press, 1985)
  • Bateman , P. and Erdös , P. 1956 . “Monotonicity of partition functions” . Mathematika , : 14 [Bateman and Erdös 1956]
  • Friedman , J. and Zeilberger , D. 1993 . “A generalization of Odlyzko's conjecture: the coefficients of (1 − q)/((l − q2n).x (1 − 2n+2j)) alternate in sign” . Proc. Amer. Math. Soc. , 118 : 1013 [Friedman and Zeilberger 1993]
  • Hardy , G. , Littlewood , J. and Pólya , G. 1988 . Inequalities, , 2nd. ed. Cambridge Univ. Press. . [Hardy et al. 1988]
  • Odlyzko , A. 1988 . “Differences of the partition function” . Acta Arith. , 49 : 237 – 254 . [Odlyzko 1988]

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