165243 20260430141015.0 doi 10.1090/tran/9390 sideral 143984 ART-2025-143984 eng Àlvarez Montaner, Josep Bernstein-Sato polynomial and related invariants for meromorphic functions 2025 Access copy available to the general public Unrestricted We develop a theory of Bernstein-Sato polynomials for meromorphic functions. As a first application we study the poles of Archimedian local zeta functions for meromorphic germs. We also present a theory of multiplier ideals for meromorphic functions from the analytic and algebraic point of view. It is also shown that the jumping numbers of these multiplier ideals are related with the roots of the Bernstein-Sato polynomials. info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C33/AEI/10.13039/501100011033 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion González Villa, Manuel Universidad de Zaragoza (orcid)0000-0002-0370-3401 León-Cardenal, Edwin Universidad de Zaragoza (orcid)0000-0002-3171-0334 Núñez-Betancourt, Luis 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 378 (2025), 4929-4954 Trans. Am. Math. Soc. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 0002-9947 602663 http://zaguan.unizar.es/record/165243/files/texto_completo.pdf Postprint 1919660 http://zaguan.unizar.es/record/165243/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:165243 articulos driver 2026-04-30-14:05:37 ARTICLE