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A discrete mean value of the Riemann zeta function.
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- Mathematika, 2024, v. 70, n. 4, p. 1, doi. 10.1112/mtk.12281
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Correlations of the Riemann zeta function.
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- Mathematika, 2024, v. 70, n. 4, p. 1, doi. 10.1112/mtk.12268
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On the Approximation of the Hardy Z -Function via High-Order Sections.
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- Axioms (2075-1680), 2024, v. 13, n. 9, p. 577, doi. 10.3390/axioms13090577
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AN EXPLICIT MEAN-VALUE ESTIMATE FOR THE PRIME NUMBER THEOREM IN INTERVALS.
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- Journal of the Australian Mathematical Society, 2024, v. 117, n. 1, p. 1, doi. 10.1017/S1446788723000113
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Inverse Applications of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytic Functions.
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- Symmetry (20738994), 2024, v. 16, n. 9, p. 1100, doi. 10.3390/sym16091100
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Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales.
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- Theoretical & Mathematical Physics, 2023, v. 214, n. 2, p. 265, doi. 10.1134/S0040577923020101
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The 2×2 matrix Schlesinger system and the Belavin-Polyakov-Zamolodchikov system.
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- Theoretical & Mathematical Physics, 2009, v. 161, n. 2, p. 1485, doi. 10.1007/s11232-009-0135-y
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On a Theorem of Matiyasevich.
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- Mathematical Notes, 2020, v. 108, n. 3/4, p. 344, doi. 10.1134/S0001434620090047
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On One- and Two-Periodic Wave Solutions of the Ninth-Order KdV Equation.
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- Mathematical Notes, 2018, v. 103, n. 5/6, p. 943, doi. 10.1134/S0001434618050310
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On the horizontal distribution of zeros of the functions Re ζ( s) and Im ζ( s).
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- Mathematical Notes, 2015, v. 98, n. 5/6, p. 986, doi. 10.1134/S0001434615110322
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On a statement equivalent to the Riemann hypothesis.
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- Mathematical Notes, 2012, v. 91, n. 3/4, p. 334, doi. 10.1134/S0001434612030030
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The Fourier transform and an inversion formula for Laplace transforms.
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- Mathematical Notes, 2011, v. 90, n. 5/6, p. 775, doi. 10.1134/S0001434611110174
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Averaging theorem for indeterminate conditionally periodic motions.
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- Mathematical Notes, 2011, v. 90, n. 1/2, p. 301, doi. 10.1134/S0001434611070339
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On large values of the function S( t) on short intervals.
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- Mathematical Notes, 2011, v. 89, n. 3/4, p. 472, doi. 10.1134/S0001434611030187
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A note on Burgess's estimate.
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- Mathematical Notes, 2010, v. 88, n. 3/4, p. 321, doi. 10.1134/S000143461009004X
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On the zeros on the critical line of L-functions corresponding to automorphic cusp forms.
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- Mathematical Notes, 2010, v. 88, n. 3/4, p. 423, doi. 10.1134/S0001434610090154
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The Euler—Kronecker constant.
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- Mathematical Notes, 2010, v. 87, n. 1/2, p. 31, doi. 10.1134/S0001434610010050
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Final distribution for Gani epidemic Markov processes.
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- Mathematical Notes, 2007, v. 82, n. 5/6, p. 787, doi. 10.1134/S0001434607110223
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On prime numbers of special kind on short intervals.
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- Mathematical Notes, 2006, v. 79, n. 5/6, p. 848, doi. 10.1007/s11006-006-0095-6
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THE RIEMANN HYPOTHESIS: THE GREAT PENDING MATHEMATICAL CHALLENGE.
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- Mètode Science Studies Journal, 2018, n. 8, p. 35, doi. 10.7203/metode.8.8903
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Foreword.
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- Princeton Annals of Mathematics Studies, 2016, n. 193, p. ix
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On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip.
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- Journal of Inequalities & Applications, 2019, v. 2019, n. 1, p. N.PAG, doi. 10.1186/s13660-019-2230-4
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FOURIER COEFFICIENTS ASSOCIATED WITH THE RIEMANN ZETA-FUNCTION.
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- Carpathian Mathematical Publications / Karpats'kì Matematičnì Publìkacìï, 2016, v. 8, n. 1, p. 16, doi. 10.15330/cmp.8.1.16-20
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Distribution of intersection lengths of a random geodesic with a geodesic lamination.
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- Ergodic Theory & Dynamical Systems, 2007, v. 27, n. 4, p. 1055, doi. 10.1017/S0143385706001040
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Zeros of the Riemann zeta-function in the discrete universality of the Hurwitz zeta-function.
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- Studia Scientiarum Mathematicarum Hungarica, 2020, v. 57, n. 2, p. 147, doi. 10.1556/012.2020.57.2.1460
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DETERMINISTIC PARTICLE APPROXIMATION OF THE HUGHES MODEL IN ONE SPACE DIMENSION.
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- Kinetic & Related Models, 2017, v. 10, n. 1, p. 215, doi. 10.3934/krm.2017009
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On large distances between neighbouring zeros of the Riemann zeta-function.
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- Discrete Mathematics & Applications, 2010, v. 20, n. 4, p. 411, doi. 10.1515/DMA.2010.025
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Moments of Derivatives of Modular L-Functions.
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- Quarterly Journal of Mathematics, 2024, v. 75, n. 2, p. 715, doi. 10.1093/qmath/haae028
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Higher-degree Artin conjecture.
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- Quarterly Journal of Mathematics, 2024, v. 75, n. 2, p. 521, doi. 10.1093/qmath/haae012
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The prime number theorem for primes in arithmetic progressions at large values.
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- Quarterly Journal of Mathematics, 2023, v. 74, n. 4, p. 1505, doi. 10.1093/qmath/haad031
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Low-lying zeros in families of holomorphic cusp forms: the weight aspect.
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- Quarterly Journal of Mathematics, 2022, v. 73, n. 4, p. 1403, doi. 10.1093/qmath/haac010
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Explicit Estimates for ζ(s) in the Critical Strip Under the Riemann Hypothesis.
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- Quarterly Journal of Mathematics, 2022, v. 73, n. 3, p. 1055, doi. 10.1093/qmath/haac007
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THE NUMBER OF IMAGINARY QUADRATIC FIELDS WITH PRIME DISCRIMINANT AND CLASS NUMBER UP TO H.
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- Quarterly Journal of Mathematics, 2017, v. 68, n. 4, p. 1379, doi. 10.1093/qmath/hax026
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A LOWER BOUND FOR THE LEAST PRIME IN AN ARITHMETIC PROGRESSION.
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- Quarterly Journal of Mathematics, 2017, v. 68, n. 3, p. 729, doi. 10.1093/qmath/hax001
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ON COINCIDENCES AMONG QUADRATIC FIELDS GENERATED BY THE SHANKS SEQUENCE.
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- Quarterly Journal of Mathematics, 2017, v. 68, n. 2, p. 465, doi. 10.1093/qmath/haw054
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A RANDOM MODEL FOR THE PALEY GRAPH.
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- Quarterly Journal of Mathematics, 2017, v. 68, n. 1, p. 193, doi. 10.1093/qmath/haw037
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LOWER BOUNDS FOR THE VARIANCE OF SEQUENCES IN ARITHMETIC PROGRESSIONS: PRIMES AND DIVISOR FUNCTIONS.
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- Quarterly Journal of Mathematics, 2017, v. 68, n. 1, p. 97, doi. 10.1093/qmath/haw005
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EFFECTIVE PRIME IDEAL THEOREM AND EXPONENTS OF IDEAL CLASS GROUPS.
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- Quarterly Journal of Mathematics, 2014, v. 65, n. 4, p. 1179, doi. 10.1093/qmath/hau002
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SHORT UNITRIANGULAR FACTORIZATIONS OF SL2(ℤ[1/p]).
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- Quarterly Journal of Mathematics, 2014, v. 65, n. 1, p. 279, doi. 10.1093/qmath/has044
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MEAN VALUES OF ζ′/ζ(s), CORRELATIONS OF ZEROS AND THE DISTRIBUTION OF ALMOST PRIMES.
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- Quarterly Journal of Mathematics, 2013, v. 64, n. 4, p. 1057, doi. 10.1093/qmath/has035
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MACROSCOPIC PAIR CORRELATION OF THE RIEMANN ZEROES FOR SMOOTH TEST FUNCTIONS.
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- Quarterly Journal of Mathematics, 2013, v. 64, n. 4, p. 1197, doi. 10.1093/qmath/has024
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ON THE CORRELATION OF SHIFTED VALUES OF THE RIEMANN ZETA FUNCTION.
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- Quarterly Journal of Mathematics, 2011, v. 62, n. 3, p. 545, doi. 10.1093/qmath/haq008
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ON CERTAIN MEAN VALUES AND THE VALUE-DISTRIBUTION OF LOGARITHMS OF DIRICHLET L-FUNCTIONS.
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- Quarterly Journal of Mathematics, 2011, v. 62, n. 3, p. 637, doi. 10.1093/qmath/haq002
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A NOTE ON THE SUM OF THE FIRST n PRIMES.
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- Quarterly Journal of Mathematics, 2010, v. 61, n. 1, p. 109, doi. 10.1093/qmath/han026
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VARIANCE OF DISTRIBUTION OF PRIMES IN RESIDUE CLASSES.
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- Quarterly Journal of Mathematics, 1996, v. 47, n. 3, p. 313, doi. 10.1093/qmath/47.3.313
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ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE RIEMANN ZETA-FUNCTION.
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- Quarterly Journal of Mathematics, 1996, v. 47, n. 3, p. 383, doi. 10.1093/qmath/47.3.383
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Large deviations of the argument of the Riemann zeta function.
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- Mathematika, 2024, v. 70, n. 3, p. 1, doi. 10.1112/mtk.12251
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Lower bounds for negativemoments of ζ' (ρ).
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- Mathematika, 2023, v. 69, n. 4, p. 1081, doi. 10.1112/mtk.12219
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Mean values of the logarithmic derivative of the Riemann zeta‐function near the critical line.
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- Mathematika, 2023, v. 69, n. 2, p. 562, doi. 10.1112/mtk.12194
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On the number variance of zeta zeros and a conjecture of Berry.
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- Mathematika, 2023, v. 69, n. 2, p. 303, doi. 10.1112/mtk.12184
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- Article