Explicit Kronecker–Weyl theorems and applications to prime number races: Explicit Kronecker-Weyl theorems and applications to prime number races

Συγγραφείς: Bailleul, Alexandre

Συνεισφορές: GOURLAN, Chantal

Πηγή: Research in Number Theory. 8

Θεματικοί όροι: limiting distributions, Primes in congruence classes, almost-periodic functions, Mathematics - Number Theory, Kronecker-Weyl theorem, prime number races, [MATH] Mathematics [math], Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, Distribution of primes, FOS: Mathematics, Number Theory (math.NT), 11N64, 11N05 (Primary), 11K70 (Secondary), 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2007.05763
https://zbmath.org/7556285
https://doi.org/10.1007/s40993-022-00349-2

Almost periodicity of some error terms in prime number theory

Συγγραφείς: Olivier Ramaré, Jerzy Kaczorowski

Πηγή: Acta Arithmetica. 106:277-297

Θεματικοί όροι: Distribution of primes, Classical almost periodic functions, mean periodic functions, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/82202?download.pdf
https://zbmath.org/1927453
https://doi.org/10.4064/aa106-3-6
https://ui.adsabs.harvard.edu/abs/2003AcAri.106..277K/abstract
http://journals.impan.pl/cgi-bin/doi?aa106-3-6
https://eudml.org/doc/278529
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa106-3-6

Some Contexts Common for the Number Theory and Harmonic Analysis: Some contexts common for number theory and harmonic analysis

Συγγραφείς: N. M. Glazunov, Yu. V. Kapitonova

Πηγή: Cybernetics and Systems Analysis. 39:113-124

Θεματικοί όροι: connections of number theory and harmonic analysis, Fourier coefficients, Fourier series of functions with special properties, special Fourier series, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2063354
https://doi.org/10.1023/a:1023881311775
https://link.springer.com/article/10.1023/A%3A1023881311775

On the distribution of lattice points in thin annuli

Συγγραφείς: Zeév Rudnick, C. P. Hughes

Πηγή: International Mathematics Research Notices. 2004(13):637-658

Θεματικοί όροι: Mathematics - Number Theory, limit distributions, Probability (math.PR), FOS: Physical sciences, Mathematical Physics (math-ph), Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, number of lattice points, Gaussian value distribution, Lattice points in specified regions, 0103 physical sciences, FOS: Mathematics, Probability distributions: general theory, Number Theory (math.NT), 0101 mathematics, Mathematics - Probability, Mathematical Physics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/math/0304129
https://eprints.whiterose.ac.uk/6428/
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.238.304&rep=rep1&type=pdf
https://academic.oup.com/imrn/article/2004/13/637/648131

An additive property of almost periodic sets

Συγγραφείς: Puchta, Jan-Christoph

Πηγή: Acta Mathematica Hungarica. 97:323-331

Θεματικοί όροι: Fourier series of arithmetical functions, mean-value problems, Mathematics - Number Theory, 11K70, extremal sets of integers, binary additive problems, Arithmetic functions, related numbers, inversion formulas, trigonometric polynomials, multiplicative arithmetical function, Fourier coefficients, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, theorem of Elliott-Daboussi, Applications of the Hardy-Littlewood method, circle method, almost periodic arithmetical functions, minor arcs, FOS: Mathematics, Number Theory (math.NT), conjecture of Brüdern, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1105.1628
http://arxiv.org/abs/1105.1628
https://arxiv.org/abs/1105.1628
https://arxiv.org/pdf/1105.1628v1
http://ui.adsabs.harvard.edu/abs/2011arXiv1105.1628S/abstract
https://biblio.ugent.be/publication/596683
https://link.springer.com/article/10.1023%2FA%3A1021613315705

Arithmetical Functions of the Form f([g(n)]): Arithmetical functions of the form \(f([g(n)])\)

Συγγραφείς: Puchta, Jan-Christoph, Spilker, Jürgen

Πηγή: Acta Mathematica Hungarica. 95:187-199

Θεματικοί όροι: 0301 basic medicine, 03 medical and health sciences, almost-periodic functions, mean-value, Arithmetic functions, related numbers, inversion formulas, Asymptotic results on arithmetic functions, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, additive functions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://biblio.ugent.be/publication/596675
https://link.springer.com/article/10.1023/A%3A1015680620906

Ergodic Group Rotations, Hartman Setsand Kronecker Sequences: Ergodic group rotations, Hartman sets and Kronecker sequences

Συγγραφείς: Reinhard Winkler

Πηγή: Monatshefte für Mathematik. 135:333-343

Θεματικοί όροι: Haar measure, Relations of ergodic theory with number theory and harmonic analysis, Pontryagin's duality, Set functions and measures on topological groups or semigroups, Haar measures, invariant measures, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, Compact groups, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://rd.springer.com/article/10.1007/s006050200027
https://link.springer.com/article/10.1007%2Fs006050200027

Uniform Distribution in Model Sets: Uniform distribution in model sets

Συγγραφείς: Robert V. Moody

Πηγή: Canadian Mathematical Bulletin. 45:123-130

Θεματικοί όροι: uniform distribution, Ergodic theorems, spectral theory, Markov operators, model sets, 0102 computer and information sciences, Harmonic analysis and almost periodicity in probabilistic number theory, Measure-preserving transformations, 16. Peace & justice, 01 natural sciences, Diophantine approximation, cut and project sets, Quasicrystals and aperiodic tilings in discrete geometry, aperiodic order, 0101 mathematics, quasicrystals

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/uniform-distribution-in-model-sets/2304DD08EC0AD970DEF94D7C180C4752

The Fredholm determinant of an almost periodic arithmetical function

Συγγραφείς: Peter, Manfred

Πηγή: Archiv der Mathematik. 76:350-359

Θεματικοί όροι: almost-periodic functions, Hankel determinant, Multiplicative number theory, Fredholm determinant, Fourier coefficients, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1647707
https://doi.org/10.1007/pl00000444
https://link.springer.com/article/10.1007%2FPL00000444

Universal Spectra and Tijdeman's Conjecture on Factorization of Cyclic Groups: Universal spectra and Tijdeman's conjecture on factorization of cyclic groups

Συγγραφείς: Szabó, S., Lagarias, J.C.

Πηγή: Journal of Fourier Analysis and Applications. 7:63-70

Θεματικοί όροι: Fourier series and coefficients in several variables, Several-variable operator theory (spectral, Fredholm, etc.), Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, Article, orthogonal basis, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Spectral Theory, 510.mathematics, universal spectrum conjecture of Lagarias and Wang, Primary: 47A13 Secondary: 11K70, 42B05, tiling, FOS: Mathematics, spectral set, 0101 mathematics, Spectral Theory (math.SP)

Περιγραφή αρχείου: application/xml; image/jpeg; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/0008132
http://arxiv.org/abs/math/0008132
https://ui.adsabs.harvard.edu/abs/2000math......8132L/abstract
https://link.springer.com/content/pdf/10.1007/s00041-001-0005-y.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=730993
https://link.springer.com/article/10.1007/s00041-001-0005-y

Packing, Tiling, Orthogonality and Completeness: Packing, tiling, orthogonality and completeness

Συγγραφείς: Mihail N. Kolountzakis

Πηγή: Bulletin of the London Mathematical Society. 32:589-599

Θεματικοί όροι: Metric Geometry (math.MG), 0102 computer and information sciences, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, Harmonic analysis in several variables, Mathematics - Metric Geometry, Mathematics - Classical Analysis and ODEs, Tilings in \(n\) dimensions (aspects of discrete geometry), tiling, Classical Analysis and ODEs (math.CA), FOS: Mathematics, tight orthogonal packing region, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/9904066
http://arxiv.org/abs/math/9904066
http://doi.wiley.com/10.1112/S0024609300007281
https://academic.oup.com/blms/article/32/5/589/596019
http://ui.adsabs.harvard.edu/abs/1999math......4066K/abstract
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024609300007281
https://www.cambridge.org/core/journals/bulletin-of-the-london-mathematical-society/article/packing-tiling-orthogonality-and-completeness/0AC746F7217C80F7F485E97C108E5437

Mean values of Dirichlet L-series: Mean values of Dirichlet \(L\)-series

Συγγραφείς: Peter, Manfred

Πηγή: Mathematische Annalen. 318:67-84

Θεματικοί όροι: asymptotic formula, almost periodicity, Voronoi sum formula, \(\zeta (s)\) and \(L(s, \chi)\), Dirichlet L-series, mean value, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1533575
https://doi.org/10.1007/s002080000109
https://dialnet.unirioja.es/servlet/articulo?codigo=2806417
https://link.springer.com/article/10.1007/s002080000109

Almost Periodicity of the Normalized Representation Numbers Associated to Positive Definite Ternary Quadratic Forms: Almost periodicity of the normalized representation numbers associated to positive definite ternary quadratic forms

Συγγραφείς: Peter, Manfred

Πηγή: Journal of Number Theory. 77:122-144

Θεματικοί όροι: almost periodicity, asymptotic formula, Algebra and Number Theory, General ternary and quaternary quadratic forms, forms of more than two variables, limit distribution, arithmetical functions, Arithmetic functions, related numbers, inversion formulas, number of representations of integers, Harmonic analysis and almost periodicity in probabilistic number theory, ternary quadratic forms, 01 natural sciences, 0103 physical sciences, ternary quadratic form, 0101 mathematics, limiting distribution

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1309271
https://doi.org/10.1006/jnth.1998.2367
https://www.sciencedirect.com/science/article/pii/S0022314X98923678
https://core.ac.uk/display/82558152
https://www.sciencedirect.com/science/article/abs/pii/S0022314X98923678

On q-Exponential Functions for |q| = 1: On \(q\)-exponential functions for \(| q| = 1\)

Συγγραφείς: D. S. Lubinsky

Πηγή: Canadian Mathematical Bulletin. 41:86-97

Θεματικοί όροι: \(q\)-gamma functions, \(q\)-beta functions and integrals, Continued fractions, \(q\)-exponentials, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 16. Peace & justice, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/on-qexponential-functions-for-q-1/6FF7501D9F2D7F5E945FC4A0AD573E8C
https://cms.math.ca/cmb/abstract/pdf/148899.pdf

Upper bounds for the autocorrelation coefficients of the Rudin-Shapiro polynomials

Συγγραφείς: M. Taghavi

Πηγή: Korean Journal of Computational & Applied Mathematics. 4:39-46

Θεματικοί όροι: autocorrelation coefficients, Fourier series and coefficients in several variables, Special sequences and polynomials, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Rudin-Shapiro polynomials, 02 engineering and technology, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1240740
https://link.springer.com/10.1007%2FBF03011379
https://link.springer.com/article/10.1007%2FBF03011379

Recurrent and almost-periodic sequences

Συγγραφείς: Lutz G. Lucht

Πηγή: Archiv der Mathematik. 68:22-26

Θεματικοί όροι: almost periodic sequences, mean-value, 0103 physical sciences, Arithmetic functions, related numbers, inversion formulas, Recurrences, recurrent sequences, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, linear recurrence

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1026243
https://doi.org/10.1007/pl00000390
https://link.springer.com/article/10.1007/PL00000390

Some Consequences of a Result of Jean Coquet: Some consequences of a result of Jean Coquet

Συγγραφείς: Jean-Loup Mauclaire

Πηγή: Journal of Number Theory. 62:1-18

Θεματικοί όροι: Arithmetic functions in probabilistic number theory, Algebra and Number Theory, probability measure, vague convergence, Fourier-Bohr spectrum, sequence of measures, \(q\)-additive functions, locally compact abelian groups, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, theorem of Coquet

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/992091
https://doi.org/10.1006/jnth.1997.2037
https://core.ac.uk/display/82458277
https://www.sciencedirect.com/science/article/pii/S0022314X97920370

θ-transformations, θ-shifts and limit theorems for some Riesz-Raikov sums: \(\theta\)-transformations, \(\theta\)-shifts and limit theorems for some Riesz-Raikov sums

Συγγραφείς: Bernard Petit

Πηγή: Ergodic Theory and Dynamical Systems. 16:335-364

Θεματικοί όροι: Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Pisot-Vijayaragavan numbers, Measure-theoretic ergodic theory, Fourier methods, Central limit and other weak theorems, Hölder-continuous functions, 0101 mathematics, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, Ergodic theory of linear operators, central limit theorems for Riesz-Raikov sums

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/transformations-shifts-and-limit-theorems-for-some-rieszraikov-sums/DDEE24ACA18CA86BC6E63AD052A027BC

on the image of form: On the image of form

Συγγραφείς: P. X. Gallagher

Πηγή: International Mathematics Research Notices. 1996(18):867-879

Θεματικοί όροι: real real-analytic functions, inequalities, period interval, Harmonic analysis and almost periodicity in probabilistic number theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://academic.oup.com/imrn/article/1996/18/867/716212
https://academic.oup.com/imrn/article-pdf/1996/18/867/6768559/1996-18-867.pdf

The multiplicative group of rationals generated by the shifted primes, I: The multiplicative group of rationals generated by the shifted primes. I

Συγγραφείς: Elliott, P.D.T.A.

Πηγή: Journal für die reine und angewandte Mathematik (Crelles Journal). 1995:169-216

Θεματικοί όροι: Primes in congruence classes, Representation problems, Harmonic analysis and almost periodicity in probabilistic number theory, 01 natural sciences, Article, estimates for sums of multiplicative functions on shifted primes, dispersion method, 510.mathematics, Arithmetic functions in probabilistic number theory, Selberg sieve, harmonic analysis, Applications of sieve methods, Asymptotic results on arithmetic functions, distribution of primes in residue classes to large moduli, 0101 mathematics, multiplicative group of positive rationals, large sieve

Περιγραφή αρχείου: application/xml; image/jpeg; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/768181
https://doi.org/10.1515/crll.1995.463.169
https://zbmath.org/1414387
https://doi.org/10.1515/crll.2000.017
https://www.degruyter.com/view/j/crll.2000.2000.issue-519/crll.2000.017/crll.2000.017.pdf