Integral points on quadrics with prime coordinates

DOI10.1007/s00605-010-0253-5zbMath1292.11073OpenAlexW2085720047MaRDI QIDQ652548

Liu, Jianya

Publication date: 14 December 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0253-5

zbMATH Keywords

quadratic formcircle methodexponential sum over primes

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Varieties over global fields (11G35) Sums over primes (11L20) Global ground fields in algebraic geometry (14G25)

Related Items (11)

Diophantine equations in primes: density of prime points on affine hypersurfaces ⋮ Quadratic forms and systems of forms in many variables ⋮ Rational lines on cubic hypersurfaces ⋮ Prime points in orbits: some instances of the Bourgain-Gamburd-Sarnak conjecture ⋮ The values of general quadratic forms at prime arguments ⋮ On the saturation number for singular cubic surfaces ⋮ Analytic number theory. Abstracts from the workshop held November 3--9, 2019 ⋮ Diophantine equations in the primes ⋮ THE QUADRATIC FORM IN NINE PRIME VARIABLES ⋮ Translation invariant quadratic forms and dense sets of primes ⋮ Almost prime solutions to diophantine systems of high rank

Cites Work

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• Integral points on quadrics in three variables whose coordinates have few prime factors
• A Birch-Goldbach theorem
• Affine linear sieve, expanders, and sum-product
• Cubic forms in 14 variables
• Sieving and expanders
• Cubic forms in sixteen variables

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