Publication:
Curious bounds for floor function sums

Issued Date

2018-01-01

Resource Type

Article

ISSN

15307638

Other identifier(s)

2-s2.0-85044768769

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Journal of Integer Sequences. Vol.21, No.1 (2018)

Suggested Citation

Thotsaporn Thanatipanonda, Elaine Wong Curious bounds for floor function sums. Journal of Integer Sequences. Vol.21, No.1 (2018). Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46107

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Title

Curious bounds for floor function sums

Author(s)

Thotsaporn Thanatipanonda
 Elaine Wong

Other Contributor(s)

Mahidol University

Abstract

© 2018, University of Waterloo. All rights reserved. Jacobsthal was the first to study a certain kind of sum of floor functions. His work was followed by that of Carlitz, Grimson, and Tverberg. More recently, Onphaeng and Pongsriiam proved some sharp upper and lower bounds for the sums of Jacobsthal and Tverberg. In this paper, we devise concise formulas for these sums, which we then use to prove the upper and lower bounds claimed by Tverberg. Furthermore, we present conjectural lower and upper bounds for these sums.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/46107

Collections

Scopus 2018