Geodesic
Additive problem with the coefficients of Hecke $L$-functions
Informatics and Automation, Analytic and combinatorial number theory, Tome 296 (2017), pp. 243-251.

Voir la notice de l'article provenant de la source Math-Net.Ru

An asymptotic formula is obtained in an additive problem with the coefficients of Hecke $L$-functions. The formula is uniform with respect to the parameters of the problem. 
@article{TRSPY_2017_296_a17,
     author = {I. S. Rezvyakova},
     title = {Additive problem with the coefficients of {Hecke} $L$-functions},
     journal = {Informatics and Automation},
     pages = {243--251},
     publisher = {mathdoc},
     volume = {296},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_296_a17/}
}
TY  - JOUR
AU  - I. S. Rezvyakova
TI  - Additive problem with the coefficients of Hecke $L$-functions
JO  - Informatics and Automation
PY  - 2017
SP  - 243
EP  - 251
VL  - 296
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2017_296_a17/
LA  - ru
ID  - TRSPY_2017_296_a17
ER  - 
%0 Journal Article
%A I. S. Rezvyakova
%T Additive problem with the coefficients of Hecke $L$-functions
%J Informatics and Automation
%D 2017
%P 243-251
%V 296
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2017_296_a17/
%G ru
%F TRSPY_2017_296_a17
I. S. Rezvyakova. Additive problem with the coefficients of Hecke $L$-functions. Informatics and Automation, Analytic and combinatorial number theory, Tome 296 (2017), pp. 243-251. http://geodesic.mathdoc.fr/item/TRSPY_2017_296_a17/

[1] Conrey B., Iwaniec H., “Spacing of zeros of Hecke $L$-functions and the class number problem”, Acta arith., 103:3 (2002), 259–312 ; arXiv: math/0111012[math.NT] | DOI | MR | Zbl

[2] Deshouillers J.-M., Iwaniec H., “An additive divisor problem”, J. London Math. Soc. Ser. 2, 26:1 (1982), 1–14 | DOI | MR | Zbl

[3] Good A., “The square mean of Dirichlet series associated with cusp forms”, Mathematika, 29:2 (1982), 278–295 | DOI | MR | Zbl

[4] Good A., “On various means involving the Fourier coefficients of cusp forms”, Math. Z., 183:1 (1983), 95–129 | DOI | MR | Zbl

[5] Hecke E., “Zur Theorie der elliptischen Modulfunktionen”, Math. Ann., 97 (1926), 210–242 | DOI | MR | Zbl

[6] Iwaniec H., Topics in classical automorphic forms, Grad. Stud. Math., 17, Amer. Math. Soc., Providence, RI, 1997 | DOI | MR | Zbl

[7] Kuznetsov N. V., “Svertka koeffitsientov Fure ryadov Eizenshteina–Maasa”, Zap. nauch. sem. LOMI, 129, 1983, 43–84 | MR | Zbl

[8] Rezvyakova I. S., “O nulyakh lineinykh kombinatsii $L$-funktsii Gekke na kriticheskoi pryamoi”, Izv. RAN. Ser. mat., 74:6 (2010), 183–222 | DOI | MR | Zbl

[9] Rezvyakova I. S., “O nulyakh dzeta-funktsii Epshteina na kriticheskoi pryamoi”, UMN, 70:4 (2015), 213–214 | DOI | MR | Zbl