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A new approach to congruences of Kummer type for Bernoulli numbers

Author
Eie, Minking

Lin Ong, Yao

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1700
Abstract
By means of simple identities among rational functions of a particular type, we are able to produce identities among Bernoulli numbers and from them congruences of the form. when the odd prime p has the property that p-1 is not a divisor of the positive even integer m. With such relations, we are able to produce new identities among Bernoulli numbers as well as reproving congruences of Kummer type such as when ω is a multiple of (p-1)pe-1,  e ≥ 1.  
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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