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math.NT2013
Une étude asymptotique probabiliste des coefficients d'une série entière
Bernard Candelpergher, Michel Miniconi
Following the ideas of Rosenbloom [7] and Hayman [5], Luis Báez-Duarte gives in [1] a probabilistic proof of Hardy-Ramanujan's asymptotic formula for the partitions of an integer.…
math.NT2009
Ramanujan Summation and the Exponential Generating Function
B. Candelpergher, H. Gopalkrishna Gadiyar, R. Padma
In the sixth chapter of his notebooks Ramanujan introduced a method of summing divergent series which assigns to the series the value of the associated Euler-MacLaurin constant tha…