2026-06-08T11:27:10Zhttps://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

Muñoz, Vicente Marcos Peréz, Ricardo 2023-06-19T14:53:55Z 2023-06-19T14:53:55Z 2015 0010-3616 10.1007/s00220-015-2312-1 https://hdl.handle.net/20.500.14352/34630 http://link.springer.com/article/10.1007%2Fs00220-015-2312-1 http://link.springer.com 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. eng restricted access Unified Treatment of Explicit and Trace Formulas via Poisson-Newton Formula journal article