Abstract: | In this paper for a slowly increasing exponential function we study the degree of deviation of the distribution of the sequence
of its fractional parts from the “ideal” uniform distribution. An estimate is given which can appropriately be called the
measure of irregularity of the distribution of a given sequence.
Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 148–152, January, 1999. |