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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 2020 · math.NTShow all

6 papers · 2 filters

math.NT2020

On algebraic integers which are 2-Salem elements in positive characteristic

Mabrouk Nasr, Hassen Kthiri, Jean-Louis Verger-Gaugry

Bateman and Duquette have initiated the study of Salem elements in positive characteristic. This work extends their results to 2-Salem elements whose minimal polynomials are of the…

math.NT2020

Alphabets, rewriting trails and periodic representations in algebraic bases

Denys Dutykh, Jean-Louis Verger-Gaugry

For a real algebraic integer ({\it the base}), the finite alphabets which realize the identity ,…

math.NT2020★ 5 cited

Sign choices in the AGM for genus two theta constants

Jean Kieffer

Existing algorithms to compute genus 2 theta constants in quasi-linear time use Borchardt sequences, an analogue of the arithmetic-geometric mean for four complex numbers. In this…

math.NT2020★ 12 cited

Entanglement in the family of division fields of elliptic curves with complex multiplication

Francesco Campagna, Riccardo Pengo

For every elliptic curve which has complex multiplication (CM) and is defined over a number field containing the CM field , we prove that the family of -divi…

math.NT2020

Algebraic Relations among Goss's Zeta Values on Elliptic Curves

Nathan Green, Tuan Ngo Dac

In 2007 Chang and Yu determined all the algebraic relations among Goss's zeta values for the rational function field - these are also known as the Carlitz zeta values. Goss raised…

math.NT2020

On Polynomials in Primes, Ergodic Averages and Monothetic Groups

Jean-Louis Verger-Gaugry, Jaroslav Hancl, Radhakrishnan Nair

Let denote a compact monothetic group, and let where are elements of one of which is a generator of . Let…