Merca, Mircea

Inequalities and identities involving sums of integer functions

J. Integer Seq. 14(9), Article 11.9.1, 25 p., electronic only (2011)

Summary

Summary: The aim of this paper is to present a method of generating inequalities and, under certain conditions, some identities with sums that involve floor, ceiling and round functions. We apply this method to sequences of nonnegative integers that could be turned into periodical sequences.

Keywords/Phrases

sequences (mod m), Fibonacci numbers, Bernoulli numbers, pisano period, power sums, integer function

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