Difference sets and the primes
Digital expansion of exponential sequences
We consider the -ary digital expansion of the first terms of an exponential sequence . Using a result due to Kiss and Tichy [8], we prove that the average number of occurrences of an arbitrary digital block in the last digits is asymptotically equal to the expected value. Under stronger assumptions we get a similar result for the first digits, where is a positive constant. In both methods, we use estimations of exponential sums and the concept of discrepancy of real sequences modulo ...
Distribution of consecutive modular roots of an integer
Distribution of difference between inverses of consecutive integers modulo .
Distribution of the power generator over a residue ring for parts of the period.
Distribution properties of digital expansions arising from linear recurrences