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  1. Proceedings of the Steklov Institute of Mathematics
  2. Proceedings of the Steklov Institute of Mathematics : Volume 276
  3. Proceedings of the Steklov Institute of Mathematics : Volume 276, Issue 1, April 2012
  4. On Karatsuba’s problem related to Gram’s law
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Proceedings of the Steklov Institute of Mathematics : Volume 296
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 276, Issue 2, Supplement,April 2012
Proceedings of the Steklov Institute of Mathematics : Volume 276, Issue 1, Supplement,April 2012
Proceedings of the Steklov Institute of Mathematics : Volume 276, Issue 1, April 2012
Anatolii Alekseevich Karatsuba (1937–2008)
On the law of the iterated logarithm for permuted lacunary sequences
Q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions
Elementary remarks on Möbius’ function
Fundamental solutions to Pell equation with prescribed size
On the distribution of values of the derivative of the Riemann zeta function at its zeros. I
Asymptotics for the sum of powers of distances between power residues modulo a prime
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
Application of an idea of Voronoĭ to lattice zeta functions
Identities involving Farey fractions
On the general additive divisor problem
Transformations of zeta-sums
On Karatsuba’s problem related to Gram’s law
On universality of the Lerch zeta-function
Enlarged major arcs in additive problems. II
Diophantine approximation generalized
Jacob’s ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations
Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II
An extension of Motohashi’s observation on the zero-free region of the Riemann zeta-function
On the multiplicity of solutions of a system of algebraic equations
Equal values of trinomials revisited
A note on the distribution of some additive functions
On the remainder term in the circle problem in an arithmetic progression
Geometric proof of Rødseth’s formula for Frobenius numbers
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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On Karatsuba’s problem related to Gram’s law

Content Provider Springer Nature Link
Author Korolev, M. A.
Copyright Year 2012
Abstract A number of new results related to Gram’s law in the theory of the Riemann zetafunction are proved. In particular, a lower bound is obtained for the number of ordinates of the zeros of the zeta-function that lie in a given interval and satisfy Gram’s law.
Starting Page 156
Ending Page 166
Page Count 11
File Format PDF
ISSN 00815438
Journal Proceedings of the Steklov Institute of Mathematics
Volume Number 276
Issue Number 1
e-ISSN 15318605
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2012-04-26
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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