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Cesàro’s formula in number fields

Miguel, C.

Journal of Number Theory Vol. 180, Nº 1, pp. 606 - 614, November, 2017.

ISSN (print): 0022-314X
ISSN (online):

Scimago Journal Ranking: 1,28 (in 2017)

Digital Object Identifier: 10.1016/j.jnt.2017.05.007

Abstract
We give an extension of a theorem of Cesàro from the rational integers to the ring of integers of an arbitrary number field. This extension is used to generalize Pillai’s function to number fields.