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math.NT2007★ 1 cited
Obtaining New Dividing Formulas n|Q(n) From the Known Ones
Bau-Sen Du
In this note, we present a few methods (Theorems 1, 2, and 3) from discrete dynamical systems theory of obtaining new functions Q(n) from the known ones so that the dividing formul…
math.NT2007
Congruence Identities Arising From Dynamical Systems
Bau-Sen Du
By counting the numbers of periodic points of all periods for some interval maps, we obtain infinitely many new congruence identities in number theory.
math.NT2007★ 6 cited
A Simple Method Which Generates Infinitely Many Congruence Identities
Bau-Sen Du
A simple method called symbolic representation for piecewise linear functions on the real line is introduced and used to compute the numbers of periodic points of all periods for s…