Kummer's congruences for classical numbers
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Title Kummer's congruences for classical numbers
Creator Supreedee Dangskul
Contributor Tuangrat Chaichana
Publisher Chulalongkorn University
Publication Year 2551
Keyword Kummer's congruences, Numeration
Abstract In this thesis, we study a special kind of congruences, called Kummer's congruences, which is here classified into three types, namely, Kummer's congruences of a zeroth kind, Kummer's congruences of a first kind and Kummer's congruences of a second kind. Some interesting aspects concerning congruences of each type and their complexity including some relationships among those three types are studied. A crucial identity for Bernoulli numbers employed to prove their Kummer's congruential properties is generalized.
URL Website cuir.car.chula.ac.th
Chulalongkorn University

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