Research articles
ScienceAsia 51 (2023): 1-11 |doi:
10.2306/scienceasia1513-1874.2023.058
Identities for sums of floor and ceiling functions of rational
numbers
Atiratch Laoharenooa,*, Chanatip Sujsuntinukulb
ABSTRACT: Research into sums involving floor or ceiling functions has been a popular focus in number theory. This
paper investigates formulas for sums of the type Pn
k=1
F
€
pk
q
Š
, where F represents either the floor or ceiling function, and
p, q are coprime integers. Generalizing from Palatsang et al?s work in 2021, we could derive explicit simp
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| a |
DepartmentofMathematicsandComputerScience,KamnoetvidyaScienceAcademy,Rayong21210Thailand |
| b |
DepartmentofMathematics,TheUniversityofHongKong,Pokfulam,HongKong |
* Corresponding author, E-mail: atiratch.l@kvis.ac.th
Received 26 Sep 2024, Accepted 0 0000
|
