Asymptotic estimates for rational linear spaces on hypersurfaces
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Publication:3629382
DOI10.1090/S0002-9947-09-04821-1zbMath1181.11035OpenAlexW2064850466MaRDI QIDQ3629382
Publication date: 27 May 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04821-1
Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Higher degree equations; Fermat's equation (11D41) Hypersurfaces and algebraic geometry (14J70)
Related Items (3)
HUA‐TYPE ITERATION FOR MULTIDIMENSIONAL WEYL SUMS ⋮ Rational lines on cubic hypersurfaces ⋮ The asymptotic estimates and Hasse principle for multidimensional Waring's problem
Cites Work
- A new iterative method in Waring's problem
- Large improvements in Waring's problem
- A note on simultaneous congruences
- Multiple exponential sums over smooth numbers
- Homogeneous forms of odd degree in a large number of variables
- On Vinogradov's mean value theorem
- On exponential sums over smooth numbers.
- The density of rational lines on cubic hypersurfaces
- Pairs of additive equations of small degree
- A generalization of Vinogradov's mean value theorem
- Homogeneous additive equations
- A note on systems of homogeneous algebraic equations
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