Výsledky vyhledávání - "Zeta function"

Spectral Invariants of Integrable Polygons

Autoři: Mårdby, Gustav Rowlett, Julie

Zdroj: Journal of Fourier Analysis and Applications. 31(6)

Témata: Polygonal billiard, Helmholtz equation, Zeta-regularized determinant, Laplace eigenvalues, Closed geodesic, Polygonal domain, Heat trace, Laplace spectrum, Spectral zeta function

Popis souboru: electronic

Přístupová URL adresa: https://research.chalmers.se/publication/549109
https://research.chalmers.se/publication/549109/file/549109_Fulltext.pdf

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

Alternating L-functions of finite digraphs: Alternating \(L\)-functions of finite digraphs

Autoři: Wu, Yongjiang Feng, Lihua Liu, Weijun

Zdroj: Discrete Applied Mathematics. 370:34-49

Témata: alternating walk, digraph covering, \(L\)-function, Directed graphs (digraphs), tournaments, quotient digraph, Other Dirichlet series and zeta functions, zeta function

Popis souboru: application/xml

Understanding Fractality: A Polyhedral Approach to the Koch Curve and Its Complex Dimensions

Autoři: David, Claire Lapidus, Michel

Přispěvatelé: David, Claire Lapidus, Michel

Zdroj: Asymptotic Analysis. 145:1447-1465

Témata: fractal tube formula, prefractal approximations, box-counting (or Minkowski) dimension, effective local and global tube zeta function, effective local and global distance zeta function, [MATH] Mathematics [math], 28A80 Koch Curve, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], MSC Classification: 11M41, Complex Dimensions of an IFD, MSC Classification: 11M41 28A12 28A75 28A80 Koch Curve prefractal approximations iterated fractal drum (IFD) Complex Dimensions of an IFD box-counting (or Minkowski) dimension fractal tube formula effective local and global tube zeta function effective local and global distance zeta function, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], 28A75, 28A12, iterated fractal drum (IFD), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]

Popis souboru: application/pdf

Přístupová URL adresa: https://hal.sorbonne-universite.fr/hal-04348346v5
https://hal.sorbonne-universite.fr/hal-04348346v6

A joint discrete limit theorem for Epstein and Hurwitz zeta-functions

Autoři: Hany Gerges Antanas Laurinčikas Renata Macaitienė

Zdroj: Mathematical Modelling and Analysis, Vol 30, Iss 2 (2025)
Mathematical modelling and analysis., Vilnius : Vilniaus Gedimino technikos universitetas, 2025, vol. 30, iss. 2, p. 186-202.

Témata: hurwitz zeta-function, Epstein zeta-function, Hurwitz zeta-function, limit theorem, Haar probability measure, weak convergence, QA1-939, haar probability measure, Mathematics, epstein zeta-function

Popis souboru: application/pdf

Přístupová URL adresa: https://doaj.org/article/1170cbecb22c4ef7a3f792dfb262240b
https://repository.vu.lt/VU:ELABAPDB230560628&prefLang=en_US

On sums of binomial coefficients

Autoři: Sofo, Anthony

Zdroj: Proyecciones (Antofagasta), Volume: 28, Issue: 1, Pages: 35-45, Published: MAY 2009

Témata: Zeta function, ResPubID17624, 0103 Numerical and Computational Mathematics, integral representations, Triple binomial coefficients, triple binomial coefficients, 0102 computer and information sciences, 01 natural sciences, zeta function, combinatorial identities, School of Engineering and Science, 970101 Expanding Knowledge in the Mathematical Sciences, 0101 mathematics

Popis souboru: text/html

Přístupová URL adresa: https://scielo.conicyt.cl/pdf/proy/v28n1/art04.pdf
https://vuir.vu.edu.au/4599/
https://www.revistaproyecciones.cl/article/view/1383
http://www.scielo.cl/pdf/proy/v28n1/art04.pdf
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004
https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004
http://vuir.vu.edu.au/4599/
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004&lng=en&tlng=en

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

Introduction to Special Functions for Applied Mathematics

Autoři: Ritelli D.

Témata: Eulerian functions, Zeta function, Legendre functions, Bessel functions, Hypergeometric function

Přístupová URL adresa: https://www.routledge.com/Introduction-to-Special-Functions-for-Applied-Mathematics/Ritelli/p/book/9780367774691?source=shoppingads&locale=en-EUR&utm_source=google&utm_medium=cpc&utm_campaign_P7696357662_ECOMMC_Europe_shopping&gad_source=1&gad_campaignid=22138413057&gbraid=0AAAAACWuhHVWWdMXtJEoqKRtuDLFel3uS&gclid=CjwKCAjwjffHBhBuEiwAKMb8pN_QKxMSOOd7aqPh0AWddlwdz8R0WPWf8LJbhchg8R0J0Vh7tu9LmRoCxAIQAvD_BwE
https://doi.org/10.1201/9781003171546
https://hdl.handle.net/11585/1026844

Approximation of analytic functions by generalized shifts of the Lerch zeta-function

Autoři: Aidas Balčiūnas Toma Mikalauskaitė Darius Šiaučiūnas

Zdroj: Mathematical Modelling and Analysis, Vol 30, Iss 1 (2025)
Mathematical modelling and analysis., Vilnius : Vilniaus Gedimino technikos universitetas, 2025, vol. 30, iss. 1, p. 142-158.

Témata: Lerch zeta-function, Mergelyan theorem, space of analytic functions universality, weak conver-gence, QA1-939, weak convergence, universality, Mathematics, space of analytic functions

Popis souboru: application/pdf

Přístupová URL adresa: https://doaj.org/article/2fc4fca206984492be9926e9822e5ed1
https://repository.vu.lt/VU:ELABAPDB227374096&prefLang=en_US

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

Autoři: Keita Nakai

Zdroj: Mathematical Modelling and Analysis, Vol 30, Iss 1 (2025)

Témata: QA1-939, Matsumoto zeta-function, universality, nontrivial zeros, Mathematics

Přístupová URL adresa: https://doaj.org/article/4f64de9107014c04b2edbe008f72bc16

Singular expansion of the wave kernel and harmonic sums on Riemannian symmetric spaces of the non-compact type

Autoři: Ali Hassani

Zdroj: AIMS Mathematics, Vol 10, Iss 3, Pp 4775-4791 (2025)

Témata: singular expansion, asymptotic expansion, riemannian symmetric spaces, wave kernel, QA1-939, harmonic sums, mellin transform, poisson kernel, Mathematics, zeta function

Přístupová URL adresa: https://doaj.org/article/efb2e0701e9c45579f54904d848501ca

Spectral analysis and inequality bounds for height and determinant functions

Autoři: Omenyi, Louis Nwaeze, Emmanuel Uchenna, Michael a další

Zdroj: Journal of Mathematical Inequalities. :47-64

Témata: Polyakov formula, Riemannian manifold, Asymptotic distributions of eigenvalues in context of PDEs, Elliptic equations on manifolds, general theory, spectral zeta function, \(\zeta (s)\) and \(L(s, \chi)\), height and determinant, Laplacian, spectral bound

Popis souboru: application/xml

On the number of poles of the dynamical zeta functions for billiard flow

Autoři: Petkov, Vesselin

Zdroj: Discrete and Continuous Dynamical Systems. 45:3174-3194

Témata: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), dynamical zeta function, local trace formula, strip with infinite number of poles, Dynamical systems with hyperbolic orbits and sets, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), 37D20, 37D05, 37D40, 11M41, 11M36, FOS: Mathematics, billiard flow, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Other Dirichlet series and zeta functions

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.17304

Joint approximation of analytic functions by the shifts of Hurwitz zeta-functions in short intervals

Autoři: Laurinčikas Antanas Šiaučiūnas Darius

Zdroj: Open Mathematics, Vol 23, Iss 1, Pp 86-101 (2025)

Témata: hurwitz zeta-function, joint universality, space of analytic functions, weak convergence of probability measures, 11m35, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://doaj.org/toc/2391-5455

Přístupová URL adresa: https://doaj.org/article/60cb5e1c113f4b6a9bee7a83bb3fbe29

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

On the zero-free region and the distribution of zeros of the prime zeta function

Autoři: Belovas Igoris Čepaitytė Rugilė Sabaliauskas Martynas

Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 33, Iss 2, Pp 27-44 (2025)

Témata: prime zeta function, zeta function zeros, zero-free region, primary 11m41, secondary 11m99, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://doaj.org/toc/1844-0835

Přístupová URL adresa: https://doaj.org/article/594ce6f5e4fb4a14baa5528a42a79e55