Exact formula for distribution of sequences {ωn}

An exact formula for distribution of sequences of fractional parts is proved. This provides us with a possibility for computational study of their discrepancies by the means of integer-number programming.

Bibliographic Details
Main Authors: Shahverdian, Ashot, Kilicman, Adem
Format: Article
Language:English
English
Published: World Scientific Publishing 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30146/
http://psasir.upm.edu.my/id/eprint/30146/1/Exact%20formula%20for%20distribution%20of%20sequences.pdf
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author Shahverdian, Ashot
Kilicman, Adem
author_facet Shahverdian, Ashot
Kilicman, Adem
author_sort Shahverdian, Ashot
building UPM Institutional Repository
collection Online Access
description An exact formula for distribution of sequences of fractional parts is proved. This provides us with a possibility for computational study of their discrepancies by the means of integer-number programming.
first_indexed 2025-11-15T09:05:12Z
format Article
id upm-30146
institution Universiti Putra Malaysia
institution_category Local University
language English
English
last_indexed 2025-11-15T09:05:12Z
publishDate 2013
publisher World Scientific Publishing
recordtype eprints
repository_type Digital Repository
spelling upm-301462016-02-03T03:47:02Z http://psasir.upm.edu.my/id/eprint/30146/ Exact formula for distribution of sequences {ωn} Shahverdian, Ashot Kilicman, Adem An exact formula for distribution of sequences of fractional parts is proved. This provides us with a possibility for computational study of their discrepancies by the means of integer-number programming. World Scientific Publishing 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30146/1/Exact%20formula%20for%20distribution%20of%20sequences.pdf Shahverdian, Ashot and Kilicman, Adem (2013) Exact formula for distribution of sequences {ωn}. International Journal of Number Theory, 9 (1). pp. 179-187. ISSN 1793-0421; ESSN: 1793-7310 http://www.worldscientific.com/toc/ijnt/09/01 10.1142/S1793042112501321 English
spellingShingle Shahverdian, Ashot
Kilicman, Adem
Exact formula for distribution of sequences {ωn}
title Exact formula for distribution of sequences {ωn}
title_full Exact formula for distribution of sequences {ωn}
title_fullStr Exact formula for distribution of sequences {ωn}
title_full_unstemmed Exact formula for distribution of sequences {ωn}
title_short Exact formula for distribution of sequences {ωn}
title_sort exact formula for distribution of sequences {ωn}
url http://psasir.upm.edu.my/id/eprint/30146/
http://psasir.upm.edu.my/id/eprint/30146/
http://psasir.upm.edu.my/id/eprint/30146/
http://psasir.upm.edu.my/id/eprint/30146/1/Exact%20formula%20for%20distribution%20of%20sequences.pdf