most citedAlgorithms for minimal Picard-Fuchs operators of Feynman integrals

38 citations

5 papers

math.NT2022

On the representability of sequences as constant terms

Alin Bostan, Armin Straub, Sergey Yurkevich

A constant term sequence is a sequence of rational numbers whose -th term is the constant term of , where and $Q(\bold…

math.CO2022★ 2 cited

Effective algebraicity for solutions of systems of functional equations with one catalytic variable

Hadrien Notarantonio, Sergey Yurkevich

We study systems of discrete differential equations of order in one catalytic variable and provide a constructive and elementary proof of algebraicity of their…

hep-th2022★ 38 cited

Algorithms for minimal Picard-Fuchs operators of Feynman integrals

Pierre Lairez, Pierre Vanhove

In even space-time dimensions the multi-loop Feynman integrals are integrals of rational function in projective space. By using an algorithm that extends the Griffiths--Dwork reduc…

cs.SC2022

Symbolic-Numeric Factorization of Differential Operators

Frédéric Chyzak, Alexandre Goyer, Marc Mezzarobba

We present a symbolic-numeric Las Vegas algorithm for factoring Fuchsian ordinary differential operators with rational function coefficients. The new algorithm combines ideas of va…

math.PR2022

Stationary Brownian motion in a 3/4-plane: Reduction to a Riemann-Hilbert problem via Fourier transforms

Guy Fayolle, Sandro Franceschi, Kilian Raschel

The stationary reflected Brownian motion in a three-quarter plane has been rarely analyzed in the probabilistic literature, in comparison with the quarter plane analogue model. In…