An asymptotic formula with square root error term counts elements of given norm and trace in finite semisimple algebras over finite fields, extending commutative results to non-commutative cases.
Rojas-Leon, Rationality of trace and normL-functions,Duke Math
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Norm-trace and Kloosterman sums in finite semi-simple algebras
An asymptotic formula with square root error term counts elements of given norm and trace in finite semisimple algebras over finite fields, extending commutative results to non-commutative cases.