Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions, Tome 76 (1978), pp. 72-88
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V. G. Zhuravlev. Zeros of the Dirichlet $L$-functions on short segments of the critical line. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions, Tome 76 (1978), pp. 72-88. http://geodesic.mathdoc.fr/item/ZNSL_1978_76_a4/
@article{ZNSL_1978_76_a4,
author = {V. G. Zhuravlev},
title = {Zeros of the {Dirichlet} $L$-functions on short segments of the critical line},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {72--88},
year = {1978},
volume = {76},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_76_a4/}
}
TY - JOUR
AU - V. G. Zhuravlev
TI - Zeros of the Dirichlet $L$-functions on short segments of the critical line
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1978
SP - 72
EP - 88
VL - 76
UR - http://geodesic.mathdoc.fr/item/ZNSL_1978_76_a4/
LA - ru
ID - ZNSL_1978_76_a4
ER -
%0 Journal Article
%A V. G. Zhuravlev
%T Zeros of the Dirichlet $L$-functions on short segments of the critical line
%J Zapiski Nauchnykh Seminarov POMI
%D 1978
%P 72-88
%V 76
%U http://geodesic.mathdoc.fr/item/ZNSL_1978_76_a4/
%G ru
%F ZNSL_1978_76_a4
One obtains an estimate for the number of zeros of the Dirichlet $L$-functions on the critical line $\operatorname{Re}s=\dfrac12$, depending on the length of the segment. The basis of the proof consists in the finding of the minimum of a certain biquadratic form with arithmetic coefficients.
