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Showing 1 to 3 of 3 for “"divisor function"”.
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On the Average Order of the Divisor Function, Lattice Point Functions, and Other Arithmetical Functions
We consider a large class of arithmetical functions generated by Dirichlet series satisfying a very general functional equation with gamma factors. We obtain one and two-sided (OMEGA)-theorems for the error terms associated with certain weighted averages of these arithmetical functions. For …
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Explicit Formula for the Mean Square of Dirichlet L-Functions to Prime Power Moduli
<p>Individual values of L-functions inside the critical strip have great arithmetic significance (such as the Riemann hypothesis) but are presently not well-understood. In several important problems in analytic number theory, including how primes are distributed, estimates such as power moments …