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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2017, Volume 296

| General information | Contents |


Analytic and combinatorial number theory


Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov

Ivan Matveevich Vinogradov (photo)
I.M. Vinogradov's method in number theory and its current development
M. P. Mineev, V. N. Chubarikov
7
Some applications of smooth bilinear forms with Kloosterman sums
V. Blomer, É. Fouvry, E. Kowalski, Ph. Michel, Dj. Milićević
24
On the Vinogradov mean value
J. Bourgain
36
On an elementary version of I.M. Vinogradov's method
V. N. Chubarikov
47
Quotient and product sets of thin subsets of the positive integers
J. Cilleruelo, D. S. Ramana, O. Ramaré
58
On the zeros of the Davenport–Heilbronn function
S. A. Gritsenko
72
A new $k$th derivative estimate for exponential sums via Vinogradov's mean value
D. R. Heath-Brown
95
Hardy's function $Z(t)$: Results and problems
A. Ivić
111
A note on Linnik's approach to the Dirichlet $L$-functions
J. Kaczorowski, A. Perelli
123
A strengthening of a theorem of Bourgain and Kontorovich. V
I. D. Kan
133
Weil groups and the distribution of prime ideals
T. Kleberger, B. Z. Moroz
140
On some mean values for the divisor function and the Riemann zeta-function
Kar-Lun Kong, Kai-Man Tsang
150
Generalized Kloosterman sum with primes
M. A. Korolev
163
A discrete version of the Mishou theorem. II
A. Laurinčikas
181
The ternary Goldbach problem with a prime and two isolated primes
H. Maier, M. Rassias
192
Distribution of zeta zeros and the oscillation of the error term of the prime number theorem
J. Pintz
207
Short cubic exponential sums over primes
Z. Kh. Rakhmonov, F. Z. Rahmonov
220
Additive problem with the coefficients of Hecke $L$-functions
I. S. Rezvyakova
243
On the product sets of rational numbers
Yu. N. Shteinikov
252
Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré's paper “Quotient and product sets of thin subsets of the positive integers”
Yu. N. Shteinikov
260
Sums of multiplicative characters with additive convolutions
A. S. Volostnov, I. D. Shkredov
265


© Steklov Math. Inst. of RAS, 2025