On the number of rational points of certain algebraic varieties over finite fields
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Publication:6085844
DOI10.1515/forum-2022-0324zbMath1530.11095MaRDI QIDQ6085844
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Publication date: 8 November 2023
Published in: Forum Mathematicum (Search for Journal in Brave)
Rational points (14G05) Polynomials over finite fields (11T06) Varieties over finite and local fields (11G25)
Cites Work
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- Counting rational points of an algebraic variety over finite fields
- A partial improvement of the Ax-Katz theorem
- Representations by bilinear forms in a finite field
- A reduction for counting the number of zeros of general diagonal equation over finite fields
- Modular counting of rational points over finite fields
- The number of solutions of certain diagonal equations over finite fields
- The number of solutions of certain equations over a finite field
- On the number of zeros of diagonal quartic forms over finite fields
- On the number of zeros of diagonal cubic forms over finite fields
- On the number of zeros to the equation \(f(x_1)+\cdots+f(x_n)=a\) over finite fields
- The number of rational points of a family of hypersurfaces over finite fields
- Some Remarks on the Number of Solutions to the Equationf(X1) + … +f(Xn) = 0
- $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
- Zeros of Diagonal Equations over Finite Fields
- The Number of Rational Points of a Family of Algebraic Varieties over Finite Fields
- Remarks on the Number of Rational Points on a Class of Hypersurfaces over Finite Fields
- An Elementary Proof of a Theorem of Katz
- Improvements of the Chevalley-Warning and the Ax-Katz Theorems
- Improvements of 𝑝-adic estimates of exponential sums
- A SPECIAL DEGREE REDUCTION OF POLYNOMIALS OVER FINITE FIELDS WITH APPLICATIONS
- $L$-functions of twisted diagonal exponential sums over finite fields
- On a class of equations with special degrees over finite fields
- On a Theorem of Ax
- Zeroes of Polynomials Over Finite Fields
- On Some Exponential Sums
- Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field
- Pairs of Quadratic Equations in a Finite Field
- On the number of zeros of diagonal cubic forms
- On the number of zeros of diagonal cubic forms
- On diagonal equations over finite fields