Geodesic
Some applications of smooth bilinear forms with Kloosterman sums
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and combinatorial number theory, Tome 296 (2017), pp. 24-35

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We revisit a recent bound of I. Shparlinski and T. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier coefficients of modular forms. We use these bounds to improve on earlier results on sums of Kloosterman sums along the primes and on the error term of the fourth moment of Dirichlet $L$-functions. 
@article{TM_2017_296_a1,
     author = {V. Blomer and \'E. Fouvry and E. Kowalski and Ph. Michel and Dj. Mili\'cevi\'c},
     title = {Some applications of smooth bilinear forms with {Kloosterman} sums},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {24--35},
     publisher = {mathdoc},
     volume = {296},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2017_296_a1/}
}
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V. Blomer; É. Fouvry; E. Kowalski; Ph. Michel; Dj. Milićević. Some applications of smooth bilinear forms with Kloosterman sums. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and combinatorial number theory, Tome 296 (2017), pp. 24-35. http://geodesic.mathdoc.fr/item/TM_2017_296_a1/