A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles

DOI10.2140/pjm.2020.307.159zbMath1447.32008arXiv1501.00426OpenAlexW2580365372MaRDI QIDQ785766

Sylvie Paycha, Bin Zhang, Li Guo

Publication date: 10 August 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00426

zbMATH Keywords

convex coneLaurent expansionmeromorphic functionsresidueJeffrey-Kirwan residue

Mathematics Subject Classification ID

Meromorphic functions of several complex variables (32A20) Residues for several complex variables (32A27)

Related Items (6)

Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups ⋮ Locality and renormalization: Universal properties and integrals on trees ⋮ Mathematical reflections on locality ⋮ Locality Galois groups of meromorphic germs in several variables ⋮ An algebraic formulation of the locality principle in renormalisation ⋮ From orthocomplementations to locality

Cites Work

• Unnamed Item
• Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones
• Toric reduction and a conjecture of Batyrev and Materov
• Topics in hyperplane arrangements, polytopes and box-splines
• Renormalization of multiple zeta values
• Integer points in polyhedra
• On Witten multiple zeta-functions associated with semisimple Lie algebras. II.
• Multiple harmonic series
• Hopf algebras, renormalization and noncommutative geometry
• The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I.
• Localization for nonabelian group actions
• Counting lattice points by means of the residue theorem
• An algebraic formulation of the locality principle in renormalisation
• Conical zeta values and their double subdivision relations
• Localization and the quantization conjecture
• Sum-integral interpolators and the Euler-Maclaurin formula for polytopes
• Nested Sums of Symbols and Renormalized Multiple Zeta Values
• Multidimensional Residues, Generating Functions, and Their Application to Queueing Networks
• Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue
• Local Asymptotic Euler-Maclaurin Expansion for Riemann Sums over a Semi-Rational Polyhedron
• Analytic continuation of multiple zeta functions

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