On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke $L$-functions on the critical line
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 96-108
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We solve an additive problem with binary quadratic forms and apply it to obtain a lower bound for the number of zeros of linear combinations of Hecke $L$-functions on a segment of the critical line.
@article{TM_2012_276_a7,
author = {S. A. Gritsenko},
title = {On an additive problem and its application to the problem of distribution of zeros of linear combinations of {Hecke} $L$-functions on the critical line},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {96--108},
publisher = {mathdoc},
volume = {276},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2012_276_a7/}
}
TY - JOUR AU - S. A. Gritsenko TI - On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke $L$-functions on the critical line JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2012 SP - 96 EP - 108 VL - 276 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2012_276_a7/ LA - ru ID - TM_2012_276_a7 ER -
%0 Journal Article %A S. A. Gritsenko %T On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke $L$-functions on the critical line %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2012 %P 96-108 %V 276 %I mathdoc %U http://geodesic.mathdoc.fr/item/TM_2012_276_a7/ %G ru %F TM_2012_276_a7
S. A. Gritsenko. On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke $L$-functions on the critical line. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 96-108. http://geodesic.mathdoc.fr/item/TM_2012_276_a7/