2026-06-08T12:39:52Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/346302023-08-11T09:45:59Zcom_20.500.14352_14col_20.500.14352_15

Unified Treatment of Explicit and Trace Formulas via Poisson-Newton Formula Muñoz, Vicente Marcos Peréz, Ricardo 511 Dirichlet series Poisson formula Explicit formula Trace Formula Teoría de números 1205 Teoría de Números We prove that a Poisson-Newton formula, in a broad sense, is associated to each Dirichlet series with a meromorphic extension to the whole complex plane of finite order. These formulas simultaneously generalize the classical Poisson formula and Newton formulas for Newton sums. Classical Poisson formulas in Fourier analysis, explicit formulas in number theory and Selberg trace formulas in Riemannian geometry appear as special cases of our general Poisson-Newton formula. Spanish MICINN Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-19T14:53:55Z 2023-06-19T14:53:55Z 2015 journal article https://hdl.handle.net/20.500.14352/34630 0010-3616 10.1007/s00220-015-2312-1 eng MTM2010-17389 restricted access application/pdf application/pdf Springer