Geodesic
Inequalities and identities involving sums of integer functions
Journal of integer sequences, Tome 14 (2011) no. 9
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: sequences (mod m), Fibonacci numbers, Bernoulli numbers, pisano period, power sums, integer function 
@article{JIS_2011__14_9_a5,
     author = {Merca,  Mircea},
     title = {Inequalities and identities involving sums of integer functions},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {9},
     zbl = {1278.11019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_9_a5/}
}
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Merca,  Mircea. Inequalities and identities involving sums of integer functions. Journal of integer sequences, Tome 14 (2011) no. 9. http://geodesic.mathdoc.fr/item/JIS_2011__14_9_a5/