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Best possible lower bounds on the coeffi...

Tsuchiya, Akiyoshi...

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Best possible lower bounds on the coefficients of Ehrhart polynomials by Tsuchiya, Akiyoshi ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	09-01-2015
Summary	For an integral convex polytope P⊂Rd, we recall LP(n)=\|nP∩Zd\| the Ehrhart polynomial of P. Let gr(P) be the rth coefficients of LP(n) for r=0,…,d. Martin Henk and Makoto Tagami gave lower bounds on the coefficients gr(P) in terms of the volume of P. They proved that these bounds are best possible for r∈{1,2,d−2}. We show that these bounds are also optimal for r=3 and d−r even and we give a new best possible bound for r=d−3.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1501.02138

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AMA 11th EditionReferences

Tsuchiya, Akiyoshi. Best possible lower bounds on the coefficients of Ehrhart polynomials. N.A. January 09, 2015. Accessed March 05, 2025. https://online.provdatabase.com/cite/18270

APA 7th EditionReferences

Tsuchiya, Akiyoshi. (2015). Best possible lower bounds on the coefficients of Ehrhart polynomials. N.A. https://online.provdatabase.com/cite/18270

Chicago 17th EditionReferences

Tsuchiya, Akiyoshi. Best possible lower bounds on the coefficients of Ehrhart polynomials. N.A. 2015. https://online.provdatabase.com/cite/18270

HarvardReferences

Tsuchiya, Akiyoshi. (2015). Best possible lower bounds on the coefficients of Ehrhart polynomials. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18270. (Accessed 05 March 2025).

Harvard AustraliaReferences

Tsuchiya, Akiyoshi, 2015, Best possible lower bounds on the coefficients of Ehrhart polynomials, N.A, viewed 05 March 2025, <https://online.provdatabase.com/cite/18270>

MLA 9th EditionWorks Cited

Tsuchiya, Akiyoshi. Best possible lower bounds on the coefficients of Ehrhart polynomials. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18270.

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