Abstract
In modern number theory, the p-adic method or p-adic way of thinking plays an important role. As an example, there are objects called p-adic L-functions which correspond to the Dirichlet L-functions, and in fact the natural setup to understand the Kummer congruence described in Sect. 3.2 is in the context of the p-adic L-functions.
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Notes
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Kurt Mahler (born on July 26, 1903 in Krefeld, Prussian Rhineland—died on February 25, 1988 in Canberra, Australia).
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Ibukiyama, T., Kaneko, M. (2014). p-adic Measure and Kummer’s Congruence. In: Bernoulli Numbers and Zeta Functions. Springer Monographs in Mathematics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54919-2_11
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