Number of solutions of equations of Weil type on finite symmetric matrices

DOI10.1016/J.LAA.2013.01.039zbMath1305.15068OpenAlexW2007776611MaRDI QIDQ389712

Ken-ichi Shinoda, Ma. Nerissa M. Abara

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.01.039

zbMATH Keywords

Gauss summatrix over finite fields

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other character sums and Gauss sums (11T24)

Cites Work

• A quadratic form \(\text{tr}(AX^ 2)\) and its application
• Representation by quadratic forms in a finite field
• A generalization of Gauss sums and its applications to Siegel modular forms and L-functions associated with the vector space of quadratic forms.
• Exponential Sums for Symmetric Matrices in a Finite Field
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