Idempotents and Congruence ax = b (mod n)

Authors: Štefan Porubský
Publication year: 2016
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: From Arithmetic to Zeta-Functions. Number Theory in Memory of Wolfgang Schwarz
Projects: Distribution and metric properties of number sequences and their applications
Bibliographic citation: PORUBSKÝ, Štefan. Idempotents and Congruence ax = b (mod n). In: SANDER, J., STEUDING, J., STEUDING, R., eds. From Arithmetic to Zeta-Functions. Number Theory in Memory of Wolfgang Schwarz. Cham: Springer, 2016, S. 385-403. ISBN 978-3-319-28202-2
Dostupné z: doi:10.1007/978-3-319-28203-9_23
DOI: 10.1007/978-3-319-28203-9_23
ID: 469368

Abstract

In the paper necessary and sufficient conditions about solvability of the linear congruence in one unknown in the ring of integers are proved in terms of idempotents to which the parameters of the congruence belong.