Counting pairs of conics over finite fields that satisfy the Poncelet <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>n</mml:mi> </mml:math> -gon condition
<jats:p> An ordered pair of smooth conics satisfies the Poncelet triangle condition if there is a triangle inscribed in the first conic and circumscribed in the second conic. Over a finite field <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:...