On the quantitative sharpening of a theorem of Birch

DOI10.1134/S0001434610110258zbMath1254.26021MaRDI QIDQ650357

T. Yu. Kulikova

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

homogeneous polynomialsBirch's theoremordered partition of a set.polynomials of odd degree

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Polynomials in number theory (11C08) (Spaces of) multilinear mappings, polynomials (46G25) Real polynomials: location of zeros (26C10)

Cites Work

• A note on null subspaces of odd polynomials
• Zero sets of polynomials in several variables
• Zeros of real polynomials
• Homogeneous forms of odd degree in a large number of variables
• An explicit version of Birch's Theorem
• Linear Spaces on Cubic Hypersurfaces, and Pairs of Homogeneous Cubic Equations

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