2 citations · 8 across the 19 of their papers we have counts for
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A conjectural asymptotic formula for multiplicative chaos in number theory
Daksh Aggarwal, Unique Subedi, William Verreault +2
We investigate a special sequence of random variables defined by an exponential power series with independent standard complex Gaussians . Introduced by H…
Sums of random multiplicative functions over function fields with few irreducible factors
Daksh Aggarwal, Unique Subedi, William Verreault +2
We establish a normal approximation for the limiting distribution of partial sums of random Rademacher multiplicative functions over function fields, provided the number of irreduc…
On the probability of forming polygons from a broken stick
William Verreault
Break a stick at random at points to obtain pieces. We give an explicit formula for the probability that every choice of segments from this broken stick can form a $k…
Bounds for the counting function of the Jordan-Pólya numbers
Jean-Marie De Koninck, Nicolas Doyon, A. Arthur Bonkli Razafindrasoanaivolala +1
A positive integer is said to be a Jordan-Pólya number if it can be written as a product of factorials. We obtain non-trivial lower and upper bounds for the number of Jordan-Pó…
Repetitions of multinomial coefficients and a generalization of Singmaster's conjecture
Jean-Marie de Koninck, Nicolas Doyon, William Verreault
Given two integers and , let stand for the number of multinomial coefficients, with terms, equal to . We study the behavior of and show that…
MacMahon Partition Analysis: A discrete approach to broken stick problems
William Verreault
We propose a discrete approach to solve problems on forming polygons from broken sticks, which is akin to counting polygons with sides of integer length subject to certain Diophant…