The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial
classification
🧮 math.NT
keywords
dirichletanalogueanotherapplicationasymptoticbalasubramaniancharactersconductor
read the original abstract
We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to $Q$. This forms another application of our work in developing an asymptotic large sieve.
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