ScienceAsia 47 (2021): 640-644 |doi:
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
ak = (2n8+ab)2 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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||Faculty of Education, Silpakorn University, Nakhon Pathom 73000 Thailand
||Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000 Thailand
* Corresponding author, E-mail: email@example.com, firstname.lastname@example.org
Received 11 Feb 2021, Accepted 9 May 2021