We present a proof of the formula, due to Mellit and Brunault, which evaluates an integral of the regulator of two modular units to the value of the L-series of a modular form of weight 2 at s=2. Applications of the formula to computing Mahler measures are discussed
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN004609 / BLDSC - British Library D...
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
International audienceWe present a formula for the regulator of two arbitrary Siegel units in terms ...
International audienceIn this article we develop a new method for relating Mahler measures of three-...
We introduce a formula for the Mahler measure of axy + bx + cy + d with complex coefficients a, b, c...
Bruinier, Funke, and Imamoglu have proved a formula for what can philosophically be called the "cent...
In this work we apply the techniques that were developed in [M.N. Lalín, An algebraic integration fo...
Item does not contain fulltextThe Mahler measure is a fascinating notion and an exciting topic in co...
We prove a conjectural formula relating the Mahler measure of the Laurent polynomial 1+X+X⁻¹+Y +Y⁻¹ ...
We prove the conjectural relations between Mahler measures and L-values of elliptic curves of conduc...
International audienceWe compute the regulator of the Beilinson-Deninger-Scholl elements in terms of...
Abstract. Using an explicit relative trace formula on GL(2), we derive a formula for averages of mod...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
Fourier coefficients of modular forms of half-integral weight. - In: Mathematische Annalen. 271. 198...
The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expr...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN004609 / BLDSC - British Library D...
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
International audienceWe present a formula for the regulator of two arbitrary Siegel units in terms ...
International audienceIn this article we develop a new method for relating Mahler measures of three-...
We introduce a formula for the Mahler measure of axy + bx + cy + d with complex coefficients a, b, c...
Bruinier, Funke, and Imamoglu have proved a formula for what can philosophically be called the "cent...
In this work we apply the techniques that were developed in [M.N. Lalín, An algebraic integration fo...
Item does not contain fulltextThe Mahler measure is a fascinating notion and an exciting topic in co...
We prove a conjectural formula relating the Mahler measure of the Laurent polynomial 1+X+X⁻¹+Y +Y⁻¹ ...
We prove the conjectural relations between Mahler measures and L-values of elliptic curves of conduc...
International audienceWe compute the regulator of the Beilinson-Deninger-Scholl elements in terms of...
Abstract. Using an explicit relative trace formula on GL(2), we derive a formula for averages of mod...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
Fourier coefficients of modular forms of half-integral weight. - In: Mathematische Annalen. 271. 198...
The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expr...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN004609 / BLDSC - British Library D...
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
International audienceWe present a formula for the regulator of two arbitrary Siegel units in terms ...
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