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2012, Volume 276  

| General information | Contents | Forward links |


Number theory, algebra, and analysis


Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday

Anatolii Alekseevich Karatsuba (photo)
Anatolii Alekseevich Karatsuba (1937–2008)
7
On the law of the iterated logarithm for permuted lacunary sequences
C. Aistleitner, I. Berkes, R. Tichy
9
$q$-Orthogonal polynomials, Rogers–Ramanujan identities, and mock theta functions
George E. Andrews
27
Elementary remarks on Möbius' function
Michel Balazard
39
Fundamental solutions to Pell equation with prescribed size
Étienne Fouvry, Florent Jouve
46
On the distribution of values of the derivative of the Riemann zeta function at its zeros. I
Akio Fujii
57
Asymptotics for the sum of powers of distances between power residues modulo a prime
M. Z. Garaev, S. V. Konyagin, Yu. V. Malykhin
83
On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke $L$-functions on the critical line
S. A. Gritsenko
96
Application of an idea of Voronoĭ to lattice zeta functions
Peter M. Gruber
109
Identities involving Farey fractions
M. N. Huxley
131
On the general additive divisor problem
Aleksandar Ivić, Jie Wu
146
Transformations of zeta-sums
Matti Jutila
155
On Karatsuba's problem related to Gram's law
M. A. Korolev
162
On universality of the Lerch zeta-function
A. Laurinčikas
173
Enlarged major arcs in additive problems. II
Jianya Liu
182
Diophantine approximation generalized
Ladislav Mišík, Oto Strauch
198
Jacob's ladders, the structure of the Hardy–Littlewood integral and some new class of nonlinear integral equations
Jan Moser
213
Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II
János Pintz
227
An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function
Sergei N. Preobrazhenskiĭ
233
On the multiplicity of solutions of a system of algebraic equations
A. V. Pukhlikov
239
Equal values of trinomials revisited
A. Schinzel
255
A note on the distribution of some additive functions
Gérald Tenenbaum
262
On the remainder term in the circle problem in an arithmetic progression
D. I. Tolev
266
Geometric proof of Rødseth's formula for Frobenius numbers
A. V. Ustinov
280
Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
 
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