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A new generalized prime random approximation procedure and some of its applications.
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- Mathematische Zeitschrift, 2024, v. 307, n. 4, p. 1, doi. 10.1007/s00209-024-03526-4
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- Article
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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- Article
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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- Article
Properties of a Linear Operator Involving Lambert Series and Rabotnov Function.
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- International Journal of Mathematics & Mathematical Sciences, 2024, v. 2024, p. 1, doi. 10.1155/2024/3657721
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- Article
Effective Sato--Tate conjecture for abelian varieties and applications.
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- Journal of the European Mathematical Society (EMS Publishing), 2024, v. 26, n. 5, p. 1713, doi. 10.4171/jems/1443
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- Article
The uniform distribution modulo one of certain subsequences of ordinates of zeros of the zeta function.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2024, v. 176, n. 3, p. 593, doi. 10.1017/S0305004124000045
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- Article
NEW EFFECTIVE RESULTS IN THE THEORY OF THE RIEMANN ZETA-FUNCTION.
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- Bulletin of the Australian Mathematical Society, 2024, v. 109, n. 2, p. 403, doi. 10.1017/S0004972723001132
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- Article
A Dirichlet series related to the error term in the Prime Number Theorem.
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- International Journal of Number Theory, 2024, v. 20, n. 3, p. 715, doi. 10.1142/S1793042124500362
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- Article
A generalized Selberg zeta function for flat space cosmologies.
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- Journal of High Energy Physics, 2024, v. 2024, n. 4, p. 1, doi. 10.1007/JHEP04(2024)066
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- Article
Riemann zeros as quantized energies of scattering with impurities.
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- Journal of High Energy Physics, 2024, v. 2024, n. 4, p. 1, doi. 10.1007/JHEP04(2024)062
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- Article
On Universality of Some Beurling Zeta-Functions.
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- Axioms (2075-1680), 2024, v. 13, n. 3, p. 145, doi. 10.3390/axioms13030145
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- Article
An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin L-functions.
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- Inventiones Mathematicae, 2024, v. 235, n. 3, p. 893, doi. 10.1007/s00222-023-01232-2
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- Article
The Mathematical Heart of Tom Stoppard.
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- Modern Drama, 2024, v. 67, n. 1, p. 50, doi. 10.3138/md-67-1-1319
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- Article
Poisson Behavior for Chains of Small Quadratic Non-Residues.
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- IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 4, p. 3356, doi. 10.1093/imrn/rnad168
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- Article
The sequence of prime gaps is graphic.
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- Mathematische Annalen, 2024, v. 388, n. 2, p. 2195, doi. 10.1007/s00208-023-02574-1
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- Article
The Generalized Riemann Hypothesis from zeros of the zeta function.
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- Research in Number Theory, 2024, v. 10, n. 1, p. 1, doi. 10.1007/s40993-023-00502-5
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- Article
Negative moments of the Riemann zeta-function.
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- Journal für die Reine und Angewandte Mathematik, 2024, v. 2024, n. 806, p. 247, doi. 10.1515/crelle-2023-0091
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- Article
On the Northcott property for special values of L-functions.
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- Revista Mathematica Iberoamericana, 2024, v. 40, n. 1, p. 1, doi. 10.4171/RMI/1454
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- Article
Multiplicative Functions Resembling the Möbius Function.
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- Acta Mathematica Sinica, 2023, v. 39, n. 12, p. 2316, doi. 10.1007/s10114-023-2259-7
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- Article
A proof of the conjectured run time of the Hafner-McCurley class group algorithm.
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- Advances in Mathematics of Communications, 2023, v. 17, n. 6, p. 1, doi. 10.3934/amc.2021055
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- Article
Large Deviation Estimates of Selberg's Central Limit Theorem and Applications.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 23, p. 20574, doi. 10.1093/imrn/rnad176
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- Article
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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- Article
Zero-free regions near a line.
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- Mathematische Zeitschrift, 2023, v. 305, n. 3, p. 1, doi. 10.1007/s00209-023-03364-w
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- Article
Some Matrix-Variate Models Applicable in Different Areas.
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- Axioms (2075-1680), 2023, v. 12, n. 10, p. 936, doi. 10.3390/axioms12100936
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EXPLICIT ESTIMATES FOR THE DISTRIBUTION OF PRIMES.
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- Bulletin of the Australian Mathematical Society, 2023, v. 108, n. 2, p. 341, doi. 10.1017/S0004972723000588
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- Article
On ∞-adic and v-adic multiple zeta functions in positive characteristic.
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- International Journal of Number Theory, 2023, v. 19, n. 9, p. 2263, doi. 10.1142/S1793042123501117
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- Article
Tame rational functions: Decompositions of iterates and orbit intersections.
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- Journal of the European Mathematical Society (EMS Publishing), 2023, v. 25, n. 10, p. 3953, doi. 10.4171/JEMS/1277
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- Article
Dirichlet Series with Periodic Coefficients, Riemann's Functional Equation, and Real Zeros of Dirichlet L-Functions.
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- Mathematica Slovaca, 2023, v. 73, n. 5, p. 1145, doi. 10.1515/ms-2023-0084
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- Article
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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- Article
Variance Estimates in Linnik's Problem.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 18, p. 15425, doi. 10.1093/imrn/rnac225
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The Intergalactic Congress of Mathematicians.
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- 2023
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- Interview
A note on the partial sum of Apostol's Möbius function.
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- Acta Mathematica Hungarica, 2023, v. 170, n. 2, p. 635, doi. 10.1007/s10474-023-01363-1
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- Article
Sharp Bound for the Fourth Moment of Holomorphic Hecke Cusp Forms.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 16, p. 13562, doi. 10.1093/imrn/rnac199
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- Article
First moment of central values of quadratic Hecke L-functions in the Gaussian field.
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- International Journal of Number Theory, 2023, v. 19, n. 7, p. 1621, doi. 10.1142/S1793042123500793
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- Article
Further Insights into the Mysteries of the Values of Zeta Functions at Integers.
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- Mathematica Slovaca, 2023, v. 73, n. 4, p. 887, doi. 10.1515/ms-2023-0066
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- Article
Supersymmetric quantum mechanics and the Riemann hypothesis.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, v. 38, n. 21, p. 1, doi. 10.1142/S0217751X23501105
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A model-independent method for local blur estimation and its application to edge detection.
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- Multimedia Tools & Applications, 2023, v. 82, n. 17, p. 25779, doi. 10.1007/s11042-023-14779-2
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- Article
A Characterization of Nontrivial Zeros of Riemann Zeta Function.
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- Bulgarian Journal of Physics, 2023, v. 50, n. 3, p. 301, doi. 10.55318/bgjp.2023.50.3.301
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- Article
Oscillation of the Remainder Term in the Prime Number Theorem of Beurling, "Caused by a Given ζ-Zero".
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 14, p. 11752, doi. 10.1093/imrn/rnac274
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- Article
Explicit Isogenies of Prime Degree Over Quadratic Fields.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 14, p. 11829, doi. 10.1093/imrn/rnac134
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- Article
Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics.
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- Mathematics (2227-7390), 2023, v. 11, n. 13, p. 3025, doi. 10.3390/math11133025
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- Article
On the distribution of zeros of linear combinations of Dirichlet L-functions on the critical line.
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- Acta Mathematica Hungarica, 2023, v. 170, n. 1, p. 110, doi. 10.1007/s10474-023-01348-0
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- Article
On the Applications of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions to Elliptic Functions.
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- Axioms (2075-1680), 2023, v. 12, n. 6, p. 595, doi. 10.3390/axioms12060595
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- Article
NEW ESTIMATES FOR SOME INTEGRALS OF FUNCTIONS DEFINED OVER PRIMES.
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- Functiones et Approximatio Commentarii Mathematici, 2023, v. 68, n. 2, p. 207, doi. 10.7169/facm/2049
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- Article
Estimates for ∂¯ on Domains in Cn and CPn.
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- Journal of Geometric Analysis, 2023, v. 33, n. 6, p. 1, doi. 10.1007/s12220-023-01196-y
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- Article
MEAN SQUARE OF QUADRATIC HECKE CHARACTER SUM.
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- Journal of Mathematical Inequalities, 2023, v. 17, n. 2, p. 653, doi. 10.7153/jmi-2023-17-43
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- Article
The Ubiquitous Apéry Number.
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- Mathematical Intelligencer, 2023, v. 45, n. 2, p. 118, doi. 10.1007/s00283-022-10226-6
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- Article
ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII.
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- Nagoya Mathematical Journal, 2023, v. 250, p. 511, doi. 10.1017/nmj.2022.44
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- Article
Counterexamples for High-Degree Generalizations of the Schrödinger Maximal Operator.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 10, p. 8371, doi. 10.1093/imrn/rnac088
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- Article
Erratum to: A Model Zeta Function of the Monoid of Natural Numbers.
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- Doklady Mathematics, 2023, v. 107, n. 2, p. 142, doi. 10.1134/S1064562423220027
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- Article