1. I.M. Vinogradov’s method in number theory and its current development

   • M. P. Mineev
   • V. N. Chubarikov

   OriginalPaper 27 April 2017 Pages: 1 - 17

2. Some applications of smooth bilinear forms with Kloosterman sums

   • Valentin Blomer
   • Étienne Fouvry
   • Djordje Milićević

   OriginalPaper 27 April 2017 Pages: 18 - 29

3. On the Vinogradov mean value

   • J. Bourgain

   OriginalPaper 27 April 2017 Pages: 30 - 40

4. On an elementary version of I.M. Vinogradov’s method

   • V. N. Chubarikov

   OriginalPaper 27 April 2017 Pages: 41 - 51

5. Quotient and product sets of thin subsets of the positive integers

   • Javier Cilleruelo
   • D. S. Ramana
   • O. Ramaré

   OriginalPaper 27 April 2017 Pages: 52 - 64

6. On the zeros of the Davenport–Heilbronn function

   • S. A. Gritsenko

   OriginalPaper 27 April 2017 Pages: 65 - 87

7. A new kth derivative estimate for exponential sums via Vinogradov’s mean value

   • D. R. Heath-Brown

   OriginalPaper 27 April 2017 Pages: 88 - 103

8. Hardy’s function Z(t): Results and problems

   • Aleksandar Ivić

   OriginalPaper 27 April 2017 Pages: 104 - 114

9. A note on Linnik’s approach to the Dirichlet L-functions

   • J. Kaczorowski
   • A. Perelli

   OriginalPaper 27 April 2017 Pages: 115 - 124

10. A strengthening of a theorem of Bourgain and Kontorovich. V

    • I. D. Kan

    OriginalPaper 27 April 2017 Pages: 125 - 131

11. Weil groups and the distribution of prime ideals

    • T. Kleberger
    • B. Z. Moroz

    OriginalPaper 27 April 2017 Pages: 132 - 141

12. On some mean values for the divisor function and the Riemann zeta-function

    • Kar-Lun Kong
    • Kai-Man Tsang

    OriginalPaper 27 April 2017 Pages: 142 - 153

13. Generalized Kloosterman sum with primes

    • M. A. Korolev

    OriginalPaper 27 April 2017 Pages: 154 - 171

14. A discrete version of the Mishou theorem. II

    • A. Laurinčikas

    OriginalPaper 27 April 2017 Pages: 172 - 182

15. The ternary Goldbach problem with a prime and two isolated primes

    • Helmut Maier
    • Michael Th. Rassias

    OriginalPaper 27 April 2017 Pages: 183 - 197

16. Distribution of zeta zeros and the oscillation of the error term of the prime number theorem

    • János Pintz

    OriginalPaper 27 April 2017 Pages: 198 - 210

17. Short cubic exponential sums over primes

    • Z. Kh. Rakhmonov
    • F. Z. Rakhmonov

    OriginalPaper 27 April 2017 Pages: 211 - 233

18. Additive problem with the coefficients of Hecke L-functions

    • I. S. Rezvyakova

    OriginalPaper 27 April 2017 Pages: 234 - 242

19. On the product sets of rational numbers

    • Yurii N. Shteinikov

    OriginalPaper 27 April 2017 Pages: 243 - 250

20. Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré’s paper “Quotient and product sets of thin subsets of the positive integers”

    • Yurii N. Shteinikov

    OriginalPaper 27 April 2017 Pages: 251 - 255

21. Sums of multiplicative characters with additive convolutions

    • A. S. Volostnov
    • I. D. Shkredov

    OriginalPaper 27 April 2017 Pages: 256 - 269