Research articles
ScienceAsia 47 (2021):ID 640-644 |doi:
10.2306/scienceasia1513-1874.2021.069
Remarks on certain sums involving floor function
Wachiraya Palatsanga, Prapanpong Pongsriiamb,*, Tammatada Khemaratchatakumthornb,
Kittipong Subwattanachaib, Naruesorn Khuntijita, Narongkorn Kitnaka
ABSTRACT: For each a = 1,2, 3,. .. ,7, there exists an integer b depending on a such that
nXk=1
›akž = ›(2n8+ab)2ž for all n 2 N.
In this article, we give some remarks on this identity. In particular, we show that the range of a cannot be extended
and the value of b is unique.
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a |
Faculty of Education, Silpakorn University, Nakhon Pathom 73000 Thailand |
b |
Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000 Thailand |
* Corresponding author, E-mail: prapanpong@gmail.com, pongsriiam_p@silpakorn.edu
Received 11 Feb 2021, Accepted 9 May 2021
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