Chaoxi Zhu

On the number of zeros of diagonal quartic forms over finite fields

2022 · Forum Mathematicum

Abstract Let <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>𝔽</m:mi> <m:mi>q</m:mi> </m:msub> </m:math> {\mathbb{F}_{q}} be the finite field of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>q</m:mi> <m:mo>=</m:mo> <m:msup> <m:mi>p</m:mi> <m:mi>m</m:mi> </m:msup> <m:mo>≡</m:mo> <m:mrow> <m:mpadded width="+3.3pt"> <m:mn>1</m:mn> </m:mpadded> <m:mspace width="veryverythickmathspace"/> <m:mrow> <m:mo stretchy="false">(</m:mo> …