activity
20192024
most citedOn the solutions of universal differential equation by noncommutative Picard-Vessiot theory

1 citations · 1 across the 3 of their papers we have counts for

collaborators

6 papers

cs.LO2024

About enveloping algebras of direct sums

Gérard Henry Edmond Duchamp, Christophe Tollu, Jean-Gabriel Luque +1

We solve the PBW-like problem of normal ordering for enveloping algebras of direct sums.

math.CO2022

On The Global Renormalization and Regularization of Several Complex Variable Zeta Functions by Computer

V. C. Bui, V. Hoang Ngoc Minh, V. Nguyen Dinh +1

This review concerns the resolution of a special case of Knizhnik-Zamolodchikov equations () using our recent results on combinatorial aspects of zeta functions on several va…

math-ph2022★ 1 cited

On the solutions of universal differential equation by noncommutative Picard-Vessiot theory

V. C. Bui, V. Hoang Ngoc Minh, V. Nguyen Dinh +1

Basing on Picard-Vessiot theory of noncommutative differential equations and algebraic combinatorics on noncommutative formal series with holomorphic coefficients, various recursiv…

math.NT2020

Families of eulerian functions involved in regularization of divergent polyzetas

V. C. Bui, V. Hoang Ngoc Minh, V. Nguyen Dinh +1

Extending the Eulerian functions, we study their relationship with zeta function of several variables. In particular, starting with Weierstrass factorization theorem (and Newton-Gi…

math.AG2020

Towards a noncommutative Picard-Vessiot theory

G. Duchamp, Viincel Hoang Ngoc Minh, Vu Nguyen Dinh +1

A Chen generating series, along a path and with respect to differential forms,is a noncommutative series on letters and with coefficients which are holomorphic functionsove…

math.CO2019

Regions of the type C Catalan arrangement

Anne Micheli, Vu Nguyen Dinh

In this paper, we give a bijection between rooted labeled ordered forests with a selected subset of their leaves and the regions of the type Catalan arrangement in . We t…