Geodesic
Zeros of linear combinations of Hecke $L$-functions on the critical line
Izvestiya. Mathematics , Tome 74 (2010) no. 6, pp. 1277-1314

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We obtain a new lower bound for the number of zeros on intervals of the critical line for linear combinations of Hecke $L$-functions.
Keywords: Hecke $L$-functioins, zeros on the critical line, automorphic forms, Jutila's variant of circle method. 
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     author = {I. S. Rezvyakova},
     title = {Zeros of linear combinations of {Hecke} $L$-functions on the critical line},
     journal = {Izvestiya. Mathematics },
     pages = {1277--1314},
     publisher = {mathdoc},
     volume = {74},
     number = {6},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2010_74_6_a6/}
}
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I. S. Rezvyakova. Zeros of linear combinations of Hecke $L$-functions on the critical line. Izvestiya. Mathematics , Tome 74 (2010) no. 6, pp. 1277-1314. http://geodesic.mathdoc.fr/item/IM2_2010_74_6_a6/