ON THE SQUARE-FREE REPRESENTATION FUNCTION OF A NORM FORM AND NILSEQUENCES

DOI10.1017/S1474748015000389zbMath1429.11025arXiv1409.5028MaRDI QIDQ4600331

Lilian Matthiesen

Publication date: 8 January 2018

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5028

zbMATH Keywords

weak approximationnilsequencesnorm form equationshigher degree uniformity

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rational points (14G05) Multiplicative and norm form equations (11D57) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (4)

Campana points and powerful values of norm forms ⋮ On the fibration method for zero-cycles and rational points ⋮ Rational points on fibrations with few non-split fibres ⋮ Strong Approximation and a Conjecture of Harpaz and Wittenberg

Cites Work

• The quantitative behaviour of polynomial orbits on nilmanifolds
• The Möbius function is strongly orthogonal to nilsequences
• Linear equations in primes
• Polynomial mappings of groups
• Generalized Fourier coefficients of multiplicative functions
• The primes contain arbitrarily long arithmetic progressions
• Linear correlations amongst numbers represented by positive definite binary quadratic forms
• Norm forms for arbitrary number fields as products of linear polynomials
• An inverse theorem for the Gowers \(U^{s+1}[N\)-norm]
• On the fibration method for zero-cycles and rational points

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