Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions

In this paper, we introduce a new type of race. We consider two Dirichlet L-functions L(s, chi(1)), L(s, chi(2)), an alpha is an element of R-n, a test function h defined on T-n and compare the sums Sigma(-T <=gamma 1 <= T )h(gamma(1)alpha) and Sigma(-T <=gamma 2 <= T) h(gamma(2)alpha) for all large T. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

In this paper, a new type of race is introduced where two Dirichlet L-functions and test functions are analyzed and compared for large values of T.