I. Goulden

activity

19992017

most citedMonotone Hurwitz numbers in genus zero

26 citations · 115 across the 26 of their papers we have counts for

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math.NT2017★ 1 cited

Natural exact covering systems and the reversion of the Möbius series

I. P. Goulden, Andrew Granville, L. Bruce Richmond +1

We prove that the number of natural exact covering systems of cardinality $k$ is equal to the coefficient of $x^{k}$ in the reversion of the power series $\sum_{k \geq 1} μ (k) x^{k}$ , w…

math.NT2012★ 1 cited

Lower order terms for the moments of symplectic and orthogonal families of $L$ -functions

Ian P. Goulden, Duc Khiem Huynh, Rishikesh +1

We derive formulas for the terms in the conjectured asymptotic expansions of the moments, at the central point, of quadratic Dirichlet $L$ -functions, $L (1/2, χ_{d})$ , and also of the…

Natural exact covering systems and the reversion of the Möbius series

Lower order terms for the moments of symplectic and orthogonal families of L-functions

Lower order terms for the moments of symplectic and orthogonal families of $L$ -functions