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  1. Proceedings of the Steklov Institute of Mathematics
  2. Proceedings of the Steklov Institute of Mathematics : Volume 296
  3. Proceedings of the Steklov Institute of Mathematics : Volume 296, Issue 1, January 2017
  4. Some applications of smooth bilinear forms with Kloosterman sums
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Proceedings of the Steklov Institute of Mathematics : Volume 296
Proceedings of the Steklov Institute of Mathematics : Volume 296, Issue 2, Supplement,April 2017
Proceedings of the Steklov Institute of Mathematics : Volume 296, Issue 1, Supplement,April 2017
Proceedings of the Steklov Institute of Mathematics : Volume 296, Issue 1, January 2017
I.M. Vinogradov’s method in number theory and its current development
Some applications of smooth bilinear forms with Kloosterman sums
On the Vinogradov mean value
On an elementary version of I.M. Vinogradov’s method
Quotient and product sets of thin subsets of the positive integers
On the zeros of the Davenport–Heilbronn function
A new kth derivative estimate for exponential sums via Vinogradov’s mean value
Hardy’s function Z(t): Results and problems
A note on Linnik’s approach to the Dirichlet L-functions
A strengthening of a theorem of Bourgain and Kontorovich. V
Weil groups and the distribution of prime ideals
On some mean values for the divisor function and the Riemann zeta-function
Generalized Kloosterman sum with primes
A discrete version of the Mishou theorem. II
The ternary Goldbach problem with a prime and two isolated primes
Distribution of zeta zeros and the oscillation of the error term of the prime number theorem
Short cubic exponential sums over primes
Additive problem with the coefficients of Hecke L-functions
On the product sets of rational numbers
Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré’s paper “Quotient and product sets of thin subsets of the positive integers”
Sums of multiplicative characters with additive convolutions
Proceedings of the Steklov Institute of Mathematics : Volume 295
Proceedings of the Steklov Institute of Mathematics : Volume 294
Proceedings of the Steklov Institute of Mathematics : Volume 293
Proceedings of the Steklov Institute of Mathematics : Volume 292
Proceedings of the Steklov Institute of Mathematics : Volume 291
Proceedings of the Steklov Institute of Mathematics : Volume 290
Proceedings of the Steklov Institute of Mathematics : Volume 289
Proceedings of the Steklov Institute of Mathematics : Volume 288
Proceedings of the Steklov Institute of Mathematics : Volume 287
Proceedings of the Steklov Institute of Mathematics : Volume 286
Proceedings of the Steklov Institute of Mathematics : Volume 285
Proceedings of the Steklov Institute of Mathematics : Volume 284
Proceedings of the Steklov Institute of Mathematics : Volume 283
Proceedings of the Steklov Institute of Mathematics : Volume 282
Proceedings of the Steklov Institute of Mathematics : Volume 281
Proceedings of the Steklov Institute of Mathematics : Volume 280
Proceedings of the Steklov Institute of Mathematics : Volume 279
Proceedings of the Steklov Institute of Mathematics : Volume 278
Proceedings of the Steklov Institute of Mathematics : Volume 277
Proceedings of the Steklov Institute of Mathematics : Volume 276
Proceedings of the Steklov Institute of Mathematics : Volume 275
Proceedings of the Steklov Institute of Mathematics : Volume 274
Proceedings of the Steklov Institute of Mathematics : Volume 273
Proceedings of the Steklov Institute of Mathematics : Volume 272
Proceedings of the Steklov Institute of Mathematics : Volume 271
Proceedings of the Steklov Institute of Mathematics : Volume 270
Proceedings of the Steklov Institute of Mathematics : Volume 269
Proceedings of the Steklov Institute of Mathematics : Volume 268
Proceedings of the Steklov Institute of Mathematics : Volume 267
Proceedings of the Steklov Institute of Mathematics : Volume 266
Proceedings of the Steklov Institute of Mathematics : Volume 265
Proceedings of the Steklov Institute of Mathematics : Volume 264
Proceedings of the Steklov Institute of Mathematics : Volume 263
Proceedings of the Steklov Institute of Mathematics : Volume 262
Proceedings of the Steklov Institute of Mathematics : Volume 261
Proceedings of the Steklov Institute of Mathematics : Volume 260
Proceedings of the Steklov Institute of Mathematics : Volume 259
Proceedings of the Steklov Institute of Mathematics : Volume 258
Proceedings of the Steklov Institute of Mathematics : Volume 257
Proceedings of the Steklov Institute of Mathematics : Volume 256
Proceedings of the Steklov Institute of Mathematics : Volume 255
Proceedings of the Steklov Institute of Mathematics : Volume 254
Proceedings of the Steklov Institute of Mathematics : Volume 253
Proceedings of the Steklov Institute of Mathematics : Volume 252

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Some applications of smooth bilinear forms with Kloosterman sums

Content Provider Springer Nature Link
Author Blomer, Valentin Fouvry, Étienne Kowalski, Emmanuel Michel, Philippe Milićević, Djordje
Copyright Year 2017
Abstract 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.
Starting Page 18
Ending Page 29
Page Count 12
File Format PDF
ISSN 00815438
Journal Proceedings of the Steklov Institute of Mathematics
Volume Number 296
Issue Number 1
e-ISSN 15318605
Language English
Publisher Pleiades Publishing
Publisher Date 2017-04-27
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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