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  • A Phase transition in the distribution of the length of integer partitions 

    Ralaivaosaonay, Dimbinaina
    We assign a uniform probability to the set consisting of partitions of a positive integer n such that the multiplicity of each summand is less than a given number d and we study the limiting distribution of the number of ...
  • On the number of summands in a random prime partition 

    Ralaivaosaona, Dimbinaina
    We study the length (number of summands) in partitions of an integer into primes, both in the restricted (unequal summands) and unrestricted case. It is shown how one can obtain asymptotic expansions for the mean and ...