On the value distribution of two Dirichlet L-functions over sums of two zeros of the Riemann zeta-function

nattiwut maugmai, Teerapat Srichan

Abstract


Let and denote the non-trivial zeros of the Riemann zeta-function with and . Under the assumption of the Riemann Hypothesis, we show that for a positive proportion of , the values of the Dirichlet L-function  and  associated with the primitive characters and to different prime moduli are linearly independent over .


Keywords


Dirichlet L-function, Riemann zeta-function, non-trivial zero

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