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The recent status of the volume product problem

Volume 112 / 2017

E. Makai, Jr. Banach Center Publications 112 (2017), 273-280 MSC: Primary: 52A40. Secondary: 52A38, 52A20. DOI: 10.4064/bc112-0-14


In this small survey we consider the volume product, and sketch some of the best upper and lower estimates known up to now, based on our paper [Studia Sci. Math. Hungar. {50} (2013), 159–198]. The author thanks the organizers of the conference in Jurata, March 2010, for their kind invitation, and the excellent atmosphere there. This paper is based on the talk of the author on that conference.


  • E. Makai, Jr.Alfréd Rényi Mathematical Institute
    Hungarian Academy of Sciences
    H-1364 Budapest, Pf. 127, Hungary

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