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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2013 · math.NTShow all

5 papers · 2 filters

math.NT2013★ 13 cited

Unfolding the double shuffle structure of q-multiple zeta values

Jaime Castillo Medina, Kurusch Ebrahimi-Fard, Dominique Manchon

We exhibit the double q-shuffle structure for the qMZVs recently introduced by Y. Ohno, J. Okuda and W. Zudilin.

math.NT2013★ 8 cited

On Euler's decomposition formula for qMZVs

Jaime Castillo Medina, Kurusch Ebrahimi-Fard, Dominique Manchon

In this short and elementary note we derive a q-generalization of Euler's decomposition formula for the qMZVs recently introduced by Y. Ohno, J. Okuda, and W. Zudilin. This answers…

math.NT2013★ 3 cited

The Cohen-Lenstra heuristics, moments and -ranks of some groups

Christophe Delaunay, Frédéric Jouhet

This article deals with the coherence of the model given by the Cohen-Lenstra heuristic philosophy for class groups and also for their generalizations to Tate-Shafarevich groups. M…

math.NT2013★ 1 cited

Sign changes in short intervals of coefficients of spinor zeta function of a Siegel cusp form of genus 2

Emmanuel Royer, Jyoti Sengupta, Jie Wu

In this paper, we establish a Voronoi formula for the spinor zeta function of a Siegel cusp form of genus 2. We deduce from this formula quantitative results on the number of its p…

math.NT2013

Integral formulas for a Dirichlet series

Guy Laville

We present an integral representation formula for a Dirichlet series whose coefficients are the values of the Liouville's arithmetic function.