Muñoz, VicenteMarco Perez, Ricardo2023-06-192023-06-1920151088-682610.1090/S0002-9939-2014-12370-7https://hdl.handle.net/20.500.14352/34633We define the class of Left Located Divisor (LLD) meromorphic functions, their vertical order m(0)(f) and their convergence exponent d(f). When m0(f) <= d(f) we prove that their Weierstrass genus is minimal. This explains the phenomena that many classical functions have minimal Weierstrass genus, for example, Dirichlet series, the Gamma-function, and trigonometric functions.engjournal articlehttp://www.ams.org/journals/proc/2015-143-01/S0002-9939-2014-12370-7/restricted access517.5Dirichlet seriesPoisson-Newton formulaHadamard factorizationFunciones (Matemáticas)1202 Análisis y Análisis Funcional