26 citations · 117 across the 18 of their papers we have counts for
18 papers
Renormalization of quasisymmetric functions
Li Guo, Houyi Yu, Bin Zhang
As a natural basis of the Hopf algebra of quasisymmetric functions, monomial quasisymmetric functions are formal power series defined from compositions. The same definition applies…
Cyclotomic polynomials with prescribed height and prime number theory
Alexandre Kosyak, Pieter Moree, Efthymios Sofos +1
Given any positive integer let denote the height of the cyclotomic polynomial, that is its maximum coefficient in absolute value. It is well known that…
Renormalisation and locality: branched zeta values
Pierre Clavier, Li Guo, Sylvie Paycha +1
Multivariate renormalisation techniques are implemented in order to build, study and then renormalise at the poles, branched zeta functions associated with trees. For this purpose,…
Renormalised conical zeta values
Li Guo, Sylvie Paycha, Bin Zhang
Conical zeta values associated with rational convex polyhedral cones generalise multiple zeta values. We renormalise conical zeta values at poles by means of a generalisation of Co…
Counting an infinite number of points: a testing ground for renormalization methods
Li Guo, Sylvie Paycha, Bin Zhang
This is a leisurely introductory account addressed to non-experts and based on previous work by the authors, on how methods borrowed from physics can be used to "count" an infinite…
A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles
Li Guo, Sylvie Paycha, Bin Zhang
We use convex polyhedral cones to study a large class of multivariate meromorphic germs, namely those with linear poles, which naturally arise in various contexts in mathematics an…