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ZERO DENSITY THEOREMS FOR FAMILIES OF DIRICHLET <i>L</i>-FUNCTIONS

ZERO DENSITY THEOREMS FOR FAMILIES OF DIRICHLET <i>L</i>-FUNCTIONS

Abstract We prove some zero density theorems for certain families of Dirichlet L -functions. More specifically, the subjects of our interest are the collections of Dirichlet L -functions associated with characters to moduli from certain sparse sets and of certain fixed orders.