TY - JOUR
T1 - Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions
AU - Liu, Di
AU - Zaharescu, Alexandru
N1 - Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2021/2/1
Y1 - 2021/2/1
N2 - In this paper, we introduce a new type of race. We consider two Dirichlet L-functions L(s,χ1),L(s,χ2), an α∈Rn, a test function h defined on Tn and compare the sums ∑−T≤γ1≤Th(γ1α) and ∑−T≤γ2≤Th(γ2α) for all large T.
AB - In this paper, we introduce a new type of race. We consider two Dirichlet L-functions L(s,χ1),L(s,χ2), an α∈Rn, a test function h defined on Tn and compare the sums ∑−T≤γ1≤Th(γ1α) and ∑−T≤γ2≤Th(γ2α) for all large T.
KW - Dirichlet L-functions: zeros
KW - Fractional parts
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U2 - 10.1016/j.jmaa.2020.124591
DO - 10.1016/j.jmaa.2020.124591
M3 - Article
AN - SCOPUS:85091113837
SN - 0022-247X
VL - 494
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
M1 - 124591
ER -