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Primitive points in rational polygons

Bárány, Imre...

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Primitive points in rational polygons by Bárány, Imre ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	07-09-2015
Summary	Let A be a star-shaped polygon in the plane, with rational vertices, containing the origin. The number of primitive lattice points in the dilate tA is asymptotically 6π2 Area(tA) as t→∞. We show that the error term is both Ω±(tloglogt−−−−−−√) and O(t(logt)2/3(loglogt)4/3). Both bounds extend (to the above class of polygons) known results for the isosceles right triangle, which appear in the literature as bounds for the error term in the summatory function for Euler's ϕ(n).
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1509.02201

Citation

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AMA 11th EditionReferences

Bárány, Imre. Primitive points in rational polygons. N.A. September 07, 2015. Accessed August 12, 2025. https://online.provdatabase.com/cite/18954

APA 7th EditionReferences

Bárány, Imre. (2015). Primitive points in rational polygons. N.A. https://online.provdatabase.com/cite/18954

Chicago 17th EditionReferences

Bárány, Imre. Primitive points in rational polygons. N.A. 2015. https://online.provdatabase.com/cite/18954

HarvardReferences

Bárány, Imre. (2015). Primitive points in rational polygons. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18954. (Accessed 12 August 2025).

Harvard AustraliaReferences

Bárány, Imre, 2015, Primitive points in rational polygons, N.A, viewed 12 August 2025, <https://online.provdatabase.com/cite/18954>

MLA 9th EditionWorks Cited

Bárány, Imre. Primitive points in rational polygons. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18954.

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