Výsledky vyhledávání - "riemann zeta function"

Fifteen series on harmonic numbers and quintic central binomial coefficients

Autoři: Chunli Li Wenchang Chu

Zdroj: Discrete Mathematics Letters, Vol 16, Pp 15-20 (2025)

Témata: harmonic number, riemann zeta function, QA1-939, central binomial coefficient, Mathematics

Přístupová URL adresa: https://doaj.org/article/6beefd6efea649b78cd4ff0249ede2d5

Level Curves for Zhang’s Eta Function

Autoři: Jeffrey Stopple

Zdroj: Experimental Mathematics, vol ahead-of-print, iss ahead-of

Témata: Numerical and Computational Mathematics, Numerical and computational mathematics, zeros of characteristic polynomials of unitary matrices, Mathematics - Number Theory, Applied Mathematics, General Mathematics, Pure mathematics, Applied mathematics, Pure Mathematics, Mathematical Sciences, zeros of the derivative of the Riemann zeta function, FOS: Mathematics, Number Theory (math.NT), 11M06, 15B52, 30C15, Zeros of the Riemann zeta function

Popis souboru: application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2503.07696
https://escholarship.org/content/qt8r0775p5/qt8r0775p5.pdf
https://escholarship.org/uc/item/8r0775p5

On a generalized moment integral containing Riemann’s zeta function: Analysis and experiment

Autoři: Michael Milgram Roy Hughes

Zdroj: Modern Mathematical Methods, Vol 3, Iss 1, Pp 14-41 (2025)

Témata: dirac comb function, 40G05, 40A10, 30B40, 11M06, 44A20, Mathematics - Number Theory, Mathematics - Classical Analysis and ODEs, improper integrals, riemann zeta function, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, discontinuous functions, Number Theory (math.NT), cesàro summation, Mathematics

Přístupová URL adresa: http://arxiv.org/abs/2405.16429
https://doaj.org/article/a32e9ee0e0204dd1a9b3294bd46ec15c

The Critical Line Re(s) = 1/2 as Quantum-Classical Boundary_An Information-Theoretic Proof via Riemann Zeta Triadic Balance

Autoři: Ma, Haobo Zhang, Wenlin

Témata: Gaussian Unitary Ensemble (GUE), Shannon entropy, Riemann zeta function, Riemann Hypothesis

Riemann Zeta Function and Hilbert Space Extensions: A Computational Ontology Framework

Autoři: Ma, Haobo Zhang, Wenlin

Témata: Hilbert space, Riemann zeta function, Zeta

Forecasting Inflation Based on Hybrid Integration of the Riemann Zeta Function and the FPAS Model (FPAS + ζ): Cyclical Flexibility, Socio-Economic Challenges and Shocks, and Comparative Analysis of Models

Autoři: Davit Gondauri

Zdroj: SocioEconomic Challenges, Vol 9, Iss 3, Pp 1-20 (2025)

Témata: inflation, forecasting, riemann zeta function, fpas, hybrid model, fourier analysis, hidden markov model, cyclicity, root mean square error, analytic hierarchy process, technique for order preference by similarity to ideal solution, socio-economic challenges, Sociology (General), HM401-1281, Economic history and conditions, HC10-1085

Popis souboru: electronic resource

Relation: https://armgpublishing.com/wp-content/uploads/2025/10/SEC_3_2025_1.pdf; https://doaj.org/toc/2520-6621; https://doaj.org/toc/2520-6214

Přístupová URL adresa: https://doaj.org/article/d060b97505a744b9bc8757969147e379

Five classes of binomial/harmonic series of convergence rate $ -1/4 $

Autoři: Chunli Li Wenchang Chu

Zdroj: AIMS Mathematics, Vol 10, Iss 7, Pp 16264-16290 (2025)

Témata: hypergeometric series, gamma function, harmonic number, riemann zeta function, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://doaj.org/toc/2473-6988

Přístupová URL adresa: https://doaj.org/article/82a4162f05204e46839bbbc822757da9

Derivation of M-theory compactification on CY7 × S1/Z2 from first principles of the Pentagon Continuum-Qubit

Autoři: Victor, Gamov

Témata: Riemann Zeta Function, Quantum physics, Fundamental Interactions, Quantum computers, Dark matter, Quantum Theory, Gravitational interaction, Dark Matter, Mathematical analysis

The E = κI Correspondence: A Fundamental Relationship Between Energy and Quantum Information

Autoři: Victor, Gamov

Témata: Quantum physics, Riemann Zeta function, Quantum computers, Pure mathematics, Fundamental principles, Applied mathematics, Riemann Hypothesis, Mathematical analysis, Quantum entanglement, Dark matter, FOS: Mathematics, Quantum Theory, Fundamental law, Mathematical Computing, Mathematics

The Fundamental Origin of the Fine-Structure Constant: Geometric, Arithmetical, Topological, and Quantum Aspects

Autoři: Victor, Gamov

Témata: Quantum field theory, Quantum entanglement, Quantum physics, Riemann Zeta function, Quantum computers, Quantum Theory, Quantum Theory/history, Fine structure constant, Mathematical analysis

Zeta Function and the Harmonic Ontology of Prime Numbers

Autoři: Rezapour, Majid Rezapour, Ramin

Témata: Riemann Zeta Function, Critical Line, Ontology, Resonant Attractors, Information Theory, Metaphysical Number Theory, Harmonic Resonance, Quantum Mathematics, Prime Numbers

SparkZetaWave: A Prime-Based Oscillatory Model for Predicting Nontrivial Zeros of the Riemann Zeta Function

Autoři: Rezapour, Majid Rezapour, Ramin

Témata: Riemann Zeta Function, Dirichlet Series, Number Theory, FOS: Mathematics, Wave Simulation, Zero Prediction, Mathematical Physics, Prime Numbers

A family of integrals related to values of the Riemann zeta function

Autoři: Rahul Kumar Paul Levrie Jean-Christophe Pain a další

Zdroj: International journal of number theory

Témata: Science & Technology, Mathematics - Number Theory, harmonic number, alternating Euler sums, COMPUTATION, SERIES, polylogarithmic integrals, 0101 Pure Mathematics, Physical Sciences, 4904 Pure mathematics, FOS: Mathematics, Riemann zeta function, Number Theory (math.NT), integral evaluations, Mathematics

Přístupová URL adresa: http://arxiv.org/abs/2409.06546
https://lirias.kuleuven.be/handle/20.500.12942/764672
https://doi.org/10.1142/s1793042125500319
https://hdl.handle.net/10067/2110840151162165141

Paper 37: A Physical Operator for the Riemann Hypothesis Derived from Scale-Relative Time

Autoři: Biehl, Lienhard

Témata: Riemann Zeta Function, Quantum Physics, Axiomatic Physics, Self-Adjoint Operator, FOS: Physical sciences, Millennium Prize Problems, Riemann Hypothesis, Scale-Relative Time, Hamiltonian, Unification, Number Theory, Foundations of Physics, Operator Theory, Hilbert-Pólya Conjecture

Bandlimited approximations and estimates for the Riemann zeta-function

Autoři: Carneiro, Emanuel Chirre, Andrés Milinovich, Micah B.

Zdroj: Publicacions Matemàtiques; Vol. 63, Núm. 2 (2019); p. 601-661

Témata: Riemann zeta-function, Riemann hypothesis, argument, critical strip, Beurling-Selberg extremal problem, extremal functions, Gaussian subordination, exponential type

Popis souboru: application/pdf

Relation: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/358952/450980

Přístupová URL adresa: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/358952

A Rigorous Error Bound for the TG Kernel in Prime Counting

Autoři: Alpay, Faruk Kilictas, Bugra

Témata: FOS: Computer and information sciences, Numerical Analysis, Data Structures and Algorithms, explicit formula, F.2.1, I.1.2, error bounds, Numerical Analysis (math.NA), Alpay Algebra, 11N05, 11Y35, 11M26, 65B10, computational number theory, Faruk Alpay, Number Theory, prime counting function, analytic number theory, FOS: Mathematics, Riemann zeta function, Data Structures and Algorithms (cs.DS), Number Theory (math.NT), truncated Gaussian kernel

Přístupová URL adresa: http://arxiv.org/abs/2506.22634

Proving the Truth of the Riemann Hypothesis by Introducing the Generating Function for Prime Numbers

Autoři: Koutanaei, Mojtaba Jalali

Témata: Riemann Zeta Function, Number Theory, Riemann's Hypothesis

Popis souboru: application/pdf

Přístupová URL adresa: https://preprints.aijr.org/index.php/ap/preprint/view/654

Stick Theory Number Mechanics: Primes, Collapse, and the Structural Rewriting of Arithmetic

Autoři: William Jordan Wade Faulkner

Témata: Riemann Zeta Function, Recursive Geometry, Euler Product, Number Theory, Collapse Dynamics, Stick Theory, Structural Mathematics, Arithmetic Structure, Primes, Identity Preservation

Equivalents of the Riemann hypothesis involving the Gram points

Autoři: Julija Karaliūnaitė Antanas Laurinčikas

Zdroj: Mathematical Modelling and Analysis, Vol 30, Iss 3 (2025)

Témata: approximation of analytic functions, Gram points, Riemann hypothesis, Riemann zeta-function, weak convergence of probability measures, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://btp.vilniustech.lt/index.php/MMA/article/view/23766; https://doaj.org/toc/1392-6292; https://doaj.org/toc/1648-3510

Přístupová URL adresa: https://doaj.org/article/a95d2c0b25b749039e2864186ad24f76

Infinite series identities involving quadratic and cubic harmonic numbers

Autoři: Wang, Xiaoyuan Chu, Wenchang

Zdroj: Publicacions Matemàtiques; Vol. 62, Núm. 1 (2018); p. 285-300

Témata: Riemann zeta function, harmonic numbers, Abel's lemma on summation by parts, partial fraction decomposition, telescoping method

Popis souboru: application/pdf

Relation: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/329970/420714

Přístupová URL adresa: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/329970