000165243 001__ 165243 000165243 005__ 20260430141015.0 000165243 0247_ $$2doi$$a10.1090/tran/9390 000165243 0248_ $$2sideral$$a143984 000165243 037__ $$aART-2025-143984 000165243 041__ $$aeng 000165243 100__ $$aÀlvarez Montaner, Josep 000165243 245__ $$aBernstein-Sato polynomial and related invariants for meromorphic functions 000165243 260__ $$c2025 000165243 5060_ $$aAccess copy available to the general public$$fUnrestricted 000165243 5203_ $$aWe 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. 000165243 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C33/AEI/10.13039/501100011033 000165243 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 000165243 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000165243 700__ $$0(orcid)0000-0002-0370-3401$$aGonzález Villa, Manuel$$uUniversidad de Zaragoza 000165243 700__ $$0(orcid)0000-0002-3171-0334$$aLeón-Cardenal, Edwin$$uUniversidad de Zaragoza 000165243 700__ $$aNúñez-Betancourt, Luis 000165243 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000165243 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000165243 773__ $$g378 (2025), 4929-4954$$pTrans. Am. Math. Soc.$$tTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY$$x0002-9947 000165243 8564_ $$s602663$$uhttps://zaguan.unizar.es/record/165243/files/texto_completo.pdf$$yPostprint 000165243 8564_ $$s1919660$$uhttps://zaguan.unizar.es/record/165243/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000165243 909CO $$ooai:zaguan.unizar.es:165243$$particulos$$pdriver 000165243 951__ $$a2026-04-30-14:05:37 000165243 980__ $$aARTICLE