17 citations · 25 across the 3 of their papers we have counts for
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math.NT2022★ 1 cited
Limits of Mahler measures in multiple variables
François Brunault, Antonin Guilloux, Mahya Mehrabdollahei +1
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P by monomial substitutions, give rise to sequences of Mahler measures which conver…
math.NT2015★ 17 cited
Regulators of Siegel units and applications
François Brunault
We present a formula for the regulator of two arbitrary Siegel units in terms of L-values of pairwise products of Eisenstein series of weight one. We give applications to Boyd's co…
math.NT2012★ 7 cited
On the ramification of modular parametrizations at the cusps
François Brunault
We investigate the ramification of modular parametrizations of elliptic curves over Q at the cusps. We prove that if the modular form associated to the elliptic curve has minimal l…