7 citations · 24 across the 10 of their papers we have counts for
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On the Borisov-Gunnells relations for products of Eisenstein series
François Brunault
Borisov and Gunnells have proved that certain linear combinations of products of Eisenstein series are Eisenstein series themselves, in analogy with the Manin relations for modular…
Modular regulators and multiple Eisenstein values
François Brunault, Wadim Zudilin
We introduce a new methodology for length reduction of multiple modular values as developed by Brown; it involves an interpolation of multiple Eisenstein values and differentiation…
A numerical approach toward the -adic Beilinson conjecture for elliptic curves over
Masanori Asakura, Masataka Chida
Restricting ourselves to elliptic curves over , we reformulate the -adic Beilinson conjecture due to Perrin-Riou, which is customized to our computational approach.…
Fourier expansions at cusps
François Brunault, Michael Neururer
In this article we study the fields generated by the Fourier coefficients of modular forms at arbitrary cusps. We prove that these fields are contained in certain cyclotomic extens…
Mahler measures of elliptic modular surfaces
Francois Brunault, Michael Neururer
In this article we develop a new method for relating Mahler measures of three-variable polynomials that define elliptic modular surfaces to L-values of modular forms. Using an idea…
Parametrizing elliptic curves by modular units
François Brunault
It is well-known that every elliptic curve over the rationals admits a parametrization by means of modular functions. In this short note, we show that only finitely many elliptic c…
On the Mahler measure associated to
François Brunault
We show that the Mahler measure of a defining equation of the modular curve is equal to the derivative at of the -function of a cusp form of weight 2 and level 1…
Regulators for Rankin-Selberg products of modular forms
François Brunault, Masataka Chida
We prove a weak version of Beilinson's conjecture for non-critical values of -functions for the Rankin-Selberg product of two modular forms.
Non-critical equivariant L-values of modular abelian varieties
François Brunault
We prove an equivariant version of Beilinson's conjecture on non-critical -values of strongly modular abelian varieties over number fields. As an application, we prove a weak ve…
Value at 2 of the L-function of an elliptic curve
Francois Brunault
We study the special value at 2 of L-functions of modular forms of weight 2 on congruence subgroups of the modular group. We prove an explicit version of Beilinson's theorem for th…