Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 40-51
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R. M. Kaufman. Estimate of the Hecke $L$-functions on the critical line. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 40-51. http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a3/
@article{ZNSL_1979_91_a3,
author = {R. M. Kaufman},
title = {Estimate of the {Hecke} $L$-functions on the critical line},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {40--51},
year = {1979},
volume = {91},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a3/}
}
TY - JOUR
AU - R. M. Kaufman
TI - Estimate of the Hecke $L$-functions on the critical line
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 40
EP - 51
VL - 91
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a3/
LA - ru
ID - ZNSL_1979_91_a3
ER -
%0 Journal Article
%A R. M. Kaufman
%T Estimate of the Hecke $L$-functions on the critical line
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 40-51
%V 91
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a3/
%G ru
%F ZNSL_1979_91_a3
Under certain restrictions an estimate of Hecke $L$-functions on the critical line is obtained. This estimate is analogous to the estimate $$ \zeta(1/2+it)\ll t^{1/6}\ln^ct $$ for the Riemann zeta-function.
