The fourth power mean of Dirichlet L-functions in $${\mathbb {F}}_q [T]$$
The fourth power mean of Dirichlet L-functions in $${\mathbb {F}}_q [T]$$
Abstract We prove results on moments of L -functions in the function field setting, where the moment averages are taken over primitive characters of modulus R , where R is a polynomial in $${\mathbb {F}}_{q}[T]$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>q</mml:mi> </mml:msub> <mml:mrow> <mml:mo>[</mml:mo> <mml:mi>T</mml:mi> <mml:mo>]</mml:mo> </mml:mrow> </mml:mrow> </mml:math> . …