تقرير
Square values of several polynomials over a finite field
| العنوان: | Square values of several polynomials over a finite field |
|---|---|
| المؤلفون: | Slavov, Kaloyan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Primary 14G15, 11T06, Secondary 14G05 |
| الوصف: | Let $f_1,\dots,f_m$ be polynomials in $n$ variables with coefficients in a finite field $\mathbb{F}_q$. We estimate the number of points $\underline{x}$ in $\mathbb{F}_q^n$ such that each value $f_i(\underline{x})$ is a nonzero square in $\mathbb{F}_q$. The error term is especially small when the $f_i$ define smooth projective quadrics with nonsingular intersections. We improve the error term in a recent work by Asgarli--Yip on mutual position of smooth quadrics. Comment: 8 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.10538 |
| رقم الأكسشن: | edsarx.2407.10538 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |