Monomials as Sums of k-th Powers of Forms
2015 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 43, no 2, 650-658 p.Article in journal (Refereed) Published
Motivated by recent results on the Waring problem for polynomial rings  and representation of monomial as sum of powers of linear forms , we consider the problem of presenting monomials of degree kd as sums of kth-powers of forms of degree d. We produce a general bound on the number of summands for any number of variables which we refine in the two variables case. We completely solve the k = 3 case for monomials in two and three variables.
Place, publisher, year, edition, pages
2015. Vol. 43, no 2, 650-658 p.
Monomials, Sum of powers, Waring problems
Algebra and Logic Geometry
IdentifiersURN: urn:nbn:se:su:diva-111894DOI: 10.1080/00927872.2013.842247ISI: 000348438100021OAI: oai:DiVA.org:su-111894DiVA: diva2:777031