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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 2015 · math.NTShow all

5 papers · 2 filters

math.NT2015★ 9 cited

Duality and (q-)multiple zeta values

Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer

Following Bachmann's recent work on bi-brackets and multiple Eisenstein series, Zudilin introduced the notion of multiple q-zeta brackets, which provides a q-analog of multiple zet…

math.NT2015★ 6 cited

Renormalisation of q-regularised multiple zeta values

Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer

We consider a particular one-parameter family of q-analogues of multiple zeta values. The intrinsic q-regularisation permits an extension of these q-multiple zeta values to negativ…

math.NT2015★ 1 cited

Large Galois images for Jacobian varieties of genus 3 curves

Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker +3

Given a prime number l greater than or equal to 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois re…

math.NT2015★ 14 cited

Sign of Fourier coefficients of modular forms of half integral weight

Yuk-Kam Lau, Emmanuel Royer, Jie Wu

We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a…

math.NT2015★ 10 cited

The Hopf algebra of (q)multiple polylogarithms with non-positive arguments

Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer

We consider multiple polylogarithms in a single variable at non-positive integers. Defining a connected graded Hopf algebra, we apply Connes' and Kreimer's algebraic Birkhoff decom…