RT Journal Article
T1 Unified Treatment of Explicit and Trace Formulas via Poisson-Newton Formula
A1 Muñoz, Vicente
A1 Marcos Peréz, Ricardo
AB 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.
PB Springer
SN 0010-3616
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/34630
UL https://hdl.handle.net/20.500.14352/34630
LA eng
NO Spanish MICINN
DS Docta Complutense
RD 27 feb 2026