Degree matrices and enumeration of rational points of some hypersurfaces over finite fields

DOI10.1016/j.jnt.2017.01.028zbMath1428.11206OpenAlexW2593580378MaRDI QIDQ529450

Binbin Wen, Wei Cao, Ru-Yun Wang

Publication date: 18 May 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.01.028

zbMATH Keywords

Gauss sumrational pointdegree matrix

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Congruences in many variables (11D79) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (3)

Counting roots of fully triangular polynomials over finite fields ⋮ Unnamed Item ⋮ Counting solutions to generalized Markoff-Hurwitz-type equations in finite fields

Cites Work

• On the number of solutions of certain diagonal equations over finite fields
• On generalized Markoff-Hurwitz-type equations over finite fields
• Smith normal form of augmented degree matrix and its applications
• Modular counting of rational points over finite fields
• On a class of equations with special degrees over finite fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Degree matrices and enumeration of rational points of some hypersurfaces over finite fields