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

2017, Volume 299

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Analytic number theory


On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba

Anatolii Alekseevich Karatsuba (photo)
On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s
M. A. Korolev
7
On the binary additive divisor problem
Olga G. Balkanova, Dmitry A. Frolenkov
50
On complete rational arithmetic sums of polynomial values
V. N. Chubarikov
56
Symmetry and short interval mean-squares
Giovanni Coppola, Maurizio Laporta
62
Asymptotics and formulas for cubic exponential sums
Ghaith A. Hiary
86
Solution of functional equations related to elliptic functions
A. A. Illarionov
105
An approximate functional equation for the primitive of Hardy's function
Matti Jutila
118
Internal twists of $L$-functions. II
J. Kaczorowski, A. Perelli
127
On a Diophantine inequality with reciprocals
M. A. Korolev
144
Discrete universality in the Selberg class
A. Laurinčikas, R. Macaitienė
155
Haas–Molnar continued fractions and metric Diophantine approximation
Liangang Ma, Radhakrishnan Nair
170
A few factors from the Euler product are sufficient for calculating the zeta function with high precision
Yu. V. Matiyasevich
192
Jacob's ladders, interactions between $\zeta $-oscillating systems, and a $\zeta $-analogue of an elementary trigonometric identity
Jan Moser
203
Factorial hypersurfaces
A. V. Pukhlikov
219
Sums of values of nonprincipal characters over a sequence of shifted primes
Z. Kh. Rakhmonov
234
On a Diophantine inequality with prime numbers of a special type
D. I. Tolev
261
Simplex–karyon algorithm of multidimensional continued fraction expansion
V. G. Zhuravlev
283


© Steklov Math. Inst. of RAS, 2025