A note on the fourth moment of Dirichlet L-functions
classification
🧮 math.NT
keywords
dirichletfourthl-functionsasymptoticaveragedcharacterscorrecteffective
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We prove an asymptotic formula for the fourth power mean of Dirichlet L-functions averaged over primitive characters to modulus q and over t\in [0,T] which is particularly effective when q \ge T. In this range the correct order of magnitude was not previously known.
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