Diophantine inequalities for forms of odd degree

DOI10.1016/0001-8708(80)90002-XzbMath0448.10019MaRDI QIDQ1146709

Wolfgang M. Schmidt

Publication date: 1980

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

homogeneous polynomialdiagonal formsforms of odd degree

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Diophantine inequalities (11D75)

Related Items

Systems of diagonal Diophantine inequalities, WARING'S PROBLEM WITH SHIFTS, Diophantine inequalities for forms in an algebraic number field, Small Solutions of Cubic Congruences, Diophantine inequalities and quasi-algebraically closed fields, Prehomogeneous vector spaces and ergodic theory. I, Diophantine problems in variables restricted to the values 0 and 1, The Mathematical Work of Wolfgang Schmidt, Random Diophantine equations. I, Cubic Diophantine inequalities for split forms, Least zero of a cubic form, Quadratic diophantine inequalities, Small fractional parts of quadratic and additive forms, Linear spaces on the intersection of cubic hypersurfaces, Irrational linear forms in prime variables.

Cites Work

• Unnamed Item
• On a theorem of Davenport and Heilbronn
• Cubic forms over algebraic number fields
• Homogeneous forms of odd degree in a large number of variables
• Cubic forms in sixteen variables
• On indefinite diagonal forms in many variables.
• Cubic Inequalities
• Small Zeros of Diagonal Forms of Odd Degree in Many Variables
• Bounds for solutions of diagonal inequalities
• A note on systems of homogeneous algebraic equations