Geodesic
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/}
}
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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/