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math.PR2018
Random permutations with logarithmic cycle weights
Nicolas Robles, Dirk Zeindler
We consider random permutations on $\Sn$ with logarithmic growing cycles weights and study asymptotic behavior as the length tends to infinity. We show that the cycle count pro…
math.NT2018
More than five-twelfths of the zeros of are on the critical line
Kyle Pratt, Nicolas Robles, Alexandru Zaharescu +1
The second moment of the Riemann zeta-function twisted by a normalized Dirichlet polynomial with coefficients of the form $(μ\star Λ_1^{\star k_1} \star Λ_2^{\star k_2} \star \cdot…