Certain mean values and non-vanishing of automorphic L-functions with large level
Zero density estimates of L-functions associated with cusp forms
Remarks on the LindelÖf Hypothesis
Relations among arithmetical functions, automatic sequences, and sum of digits functions induced by certain Gray codes
In the study of the -adic sum of digits function , the arithmetical function and for plays a very important role. In this paper, we firstly generalize the relation between and to a bijective relation between arithmetical functions. And as an application, we investigate some aspects of the sum of digits functions induced by binary infinite Gray codes . We can show that the difference of the sum of digits function, , is realized by an automaton. And the summation formula of the sum...
On a Relation Between Sums of Arithmetical Functions and Dirichlet Series
An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function
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