Výsledky vyhledávání - "Hurwitz and Lerch zeta functions"

Integral formulae of arithmetical characteristics relating to the zeta-function of Hurwitz

Autoři: Mikolás, Miklós

Zdroj: Publicationes Mathematicae Debrecen. 5:44-53

Témata: Hurwitz zeta-function, Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3133634

Complete asymptotic expansions associated with various zeta-functions

Autoři: Katsurada, Masanori

Zdroj: Various Aspects of Multiple Zeta Functions — in honor of Professor Kohji Matsumoto's 60th birthday, H. Mishou, T. Nakamura, M. Suzuki and Y. Umegaki, eds. (Tokyo: Mathematical Society of Japan, 2020)

Témata: asymptotic expansion, Dirichlet $L$-function, Hurwitz and Lerch zeta-functions, 11E45, 11F11, Mellin-Barnes integral, 11M06, Eisenstein series, 11P82, 11M32, Epstein zeta-function, mean square, 11M35, Riemann zeta-function, $q$-series, 11M36

Popis souboru: application/pdf

Přístupová URL adresa: https://projecteuclid.org/proceedings/advanced-studies-in-pure-mathematics/Various-Aspects-of-Multiple-Zeta-Functions--in-honor-of/Chapter/Complete-asymptotic-expansions-associated-with-various-zeta-functions/10.2969/aspm/08410205
https://projecteuclid.org/euclid.aspm/1590597089

On a certain set of Lerch’s zeta-functions and their derivatives∗: On a certain set of Lerch's zeta-functions and their derivatives

Autoři: Hirofumi Nagoshi

Zdroj: Lithuanian Mathematical Journal. 59:111-130

Témata: Lerch zeta-function, joint value-distribution, algebraic differential independence, Hurwitz and Lerch zeta functions, functional independence, 0101 mathematics, Diophantine approximation, transcendental number theory, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7082072
https://doi.org/10.1007/s10986-019-09433-0
https://link.springer.com/article/10.1007/s10986-019-09433-0
https://link.springer.com/content/pdf/10.1007/s10986-019-09433-0.pdf

Universality theorems for zeta-functions with periodic coefficients

Autoři: Antanas Laurinčikas

Zdroj: Siberian Mathematical Journal. 57:330-339

Témata: periodic Hurwitz zeta-function, limit theorem, weak convergence, Hurwitz and Lerch zeta functions, universality, periodic zeta-function, 0101 mathematics, Other Dirichlet series and zeta functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1134/S0037446616020154

The Density Function for the Value-Distribution of the Lerch Zeta-Function and Its Applications: The density function for the value-distribution of the Lerch zeta-function and its applications

Autoři: Mine, Masahiro

Zdroj: Michigan Math. J. 69, iss. 4 (2020), 849-889

Témata: critical line, Lerch zeta-function, Mathematics - Number Theory, Approximation to algebraic numbers, FOS: Mathematics, value-distributions, Hurwitz and Lerch zeta functions, Number Theory (math.NT), 11J68, 0101 mathematics, 01 natural sciences, 11M35

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/1805.11066
http://arxiv.org/abs/1805.11066
https://projecteuclid.org/journals/michigan-mathematical-journal/volume-69/issue-4/The-Density-Function-for-the-Value-Distribution-of-the-Lerch/10.1307/mmj/1586570481.full
https://projecteuclid.org/euclid.mmj/1586570481

Zeta Identities in Parameter Form

Autoři: Sofo, Anthony

Zdroj: Results in Mathematics. 74

Témata: College of Science and Engineering, 4901 Applied mathematics, Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences

Popis souboru: text

Přístupová URL adresa: https://link.springer.com/article/10.1007/s00025-018-0944-0

Values of general dirichlet series and simultaneous diophantine approximation: Values of general Dirichlet series and simultaneous Diophantine approximation

Autoři: Hirofumi Nagoshi

Zdroj: Lithuanian Mathematical Journal. 50:227-238

Témata: value-distribution, Simultaneous homogeneous approximation, linear forms, Diophantine approximation, Hurwitz and Lerch zeta functions, general Dirichlet series, 06 humanities and the arts, 0101 mathematics, 0603 philosophy, ethics and religion, 01 natural sciences, denseness

Popis souboru: application/xml

Přístupová URL adresa: https://dialnet.unirioja.es/servlet/articulo?codigo=3233546
https://link.springer.com/article/10.1007/s10986-010-9081-5
https://link.springer.com/content/pdf/10.1007%2Fs10986-010-9081-5.pdf

Certain families of series associated with the Hurwitz–Lerch Zeta function: Certain families of series associated with the Hurwitz--Lerch zeta function

Autoři: Hari M. Srivastava Junesang Choi

Zdroj: Applied Mathematics and Computation. 170:399-409

Témata: Generalized (or Hurwitz) Zeta function, Summation formulas, Multiple Gamma functions, Determinants of Laplacians, Riemann Zeta function, Harmonic numbers, Hurwitz and Lerch zeta functions, 0101 mathematics, Hurwitz-Lerch Zeta function, Series identities, Psi (or Digamma) function, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2228897
https://doi.org/10.1016/j.amc.2004.12.004
https://www.sciencedirect.com/science/article/abs/pii/S0096300304009579
http://www.sciencedirect.com/science/article/pii/S0096300304009579
https://dblp.uni-trier.de/db/journals/amc/amc170.html#ChoiS05

A limit theorem for the Hurwitz zeta-function with an algebraic irrational parameter

Autoři: Jörn Steuding Antanas Laurinčikas

Zdroj: Archiv der Mathematik. 85:419-432

Témata: Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s00013-005-1190-8

ON EVALUATION OF GENERALIZED EULER SUMS OF EVEN WEIGHT: On evaluation of generalized Euler sums of even weight

Autoři: Wen-Chin Liaw Minking Eie Fu-Yao Yang

Zdroj: International Journal of Number Theory. :225-242

Témata: generalized Euler sums, Hurwitz and Lerch zeta functions, 0101 mathematics, Bernoulli and Euler numbers and polynomials, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2214604
https://doi.org/10.1142/s1793042105000182
https://www.worldscientific.com/doi/abs/10.1142/S1793042105000182

On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials

Autoři: Alexander P. Veselov J. P. Ward

Zdroj: Journal of Mathematical Analysis and Applications. 305:712-721

Témata: Bernoulli polynomials, Applied Mathematics, Hurwitz and Lerch zeta functions, 33E20, 12D10, 01 natural sciences, Hurwitz zeta-function, Mathematics - Classical Analysis and ODEs, General Mathematics (math.GM), real zeros, Bernoulli polynomials, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Bernoulli and Euler numbers and polynomials, Mathematics - General Mathematics, Analysis

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0205183
https://core.ac.uk/display/82655131
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04010674
https://ui.adsabs.harvard.edu/abs/2005JMAA..305..712V/abstract
https://repository.lboro.ac.uk/articles/On_the_real_zeroes_of_the_Hurwitz_zeta-function_and_Bernoulli_polynomials/9384470
https://www.sciencedirect.com/science/article/pii/S0022247X04010674

A family of log-gamma integrals and associated results

Autoři: Junesang Choi Hari M. Srivastava

Zdroj: Journal of Mathematical Analysis and Applications. 303:436-449

Témata: Double gamma functions, Glaisher–Kinkelin constant, Applied Mathematics, Riemann and Hurwitz (or generalized) zeta functions, Determinants of the Laplacians, Euler–Maclaurin summation formula, double gamma functions, Hurwitz and Lerch zeta functions, 01 natural sciences, Hurwitz zeta-function, Catalan constant, \(\zeta (s)\) and \(L(s, \chi)\), generalized zeta-functions, 0101 mathematics, Gamma, beta and polygamma functions, Analysis, Riemann zeta-function, determinants of Laplacians

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022247X04006882
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04006882#!
https://core.ac.uk/display/82823947
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04006882
https://ui.adsabs.harvard.edu/abs/2005JMAA..303..436C/abstract

Explicit Approximate Functional Equations for Various Classes of Dirichlet Series: Explicit approximate functional equations for various classes of Dirichlet series

Autoři: Laurent Habsieger

Zdroj: The Ramanujan Journal. 9:93-110

Témata: Dirichlet \(L\)-series, Lerch zeta function, \(\zeta (s)\) and \(L(s, \chi)\), Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences, approximate functional equation

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s11139-005-0828-2

Growth of the Lerch zeta-function

Autoři: Ramūnas Garunkštis

Zdroj: Lithuanian Mathematical Journal. 45:34-43

Témata: Lerch zeta-function, Lindelöf hypothesis, growth of the critical line, Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences, Dirichlet \(L\)-function

Popis souboru: application/xml

Přístupová URL adresa: http://uosis.mif.vu.lt/%7Egarunkstis/preprintai/growth.pdf
https://zbmath.org/2228001
https://doi.org/10.1007/s10986-005-0004-9
https://link.springer.com/content/pdf/10.1007/s10986-005-0004-9.pdf
https://rd.springer.com/article/10.1007/s10986-005-0004-9
https://link.springer.com/article/10.1007%2Fs10986-005-0004-9

THE BARNES ζ-FUNCTION, SPHERE DETERMINANTS AND GLAISHER–KINKELIN–BENDERSKY CONSTANTS: The Barnes \(\zeta\)-function, sphere determinants and Glaisher-Kinkelin-Bendersky constants

Autoři: Klaus Kirsten J. S. Dowker

Zdroj: Analysis and Applications. :45-68

Témata: High Energy Physics - Theory, FOS: Physical sciences, Hurwitz and Lerch zeta functions, multiple Gamma and \(\psi\)-functions, Mathematical Physics (math-ph), 01 natural sciences, Mathematics - Spectral Theory, High Energy Physics - Theory (hep-th), Mathematics - Classical Analysis and ODEs, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Kaluza-Klein and other higher-dimensional theories, Barnes zeta function, 0101 mathematics, Other Dirichlet series and zeta functions, Spectral Theory (math.SP), Mathematical Physics, Determinants and determinant bundles, analytic torsion, determinants of Laplacians

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/hep-th/0301143
http://arxiv.org/abs/hep-th/0301143
https://zbmath.org/2158249
https://doi.org/10.1142/s0219530505000479
https://www.arxiv-vanity.com/papers/hep-th/0301143/
https://www.worldscientific.com/doi/abs/10.1142/S0219530505000479
http://inspirehep.net/record/611927
https://arxiv.org/pdf/hep-th/0301143
https://arxiv.org/abs/hep-th/0301143
https://ui.adsabs.harvard.edu/abs/2003hep.th....1143D/abstract
https://arxiv.org/pdf/hep-th/0301143

Series involving the Zeta function and multiple Gamma functions: Series involving the zeta function and multiple Gamma functions

Autoři: Hari M. Srivastava Junesang Choi Young Joon Cho

Zdroj: Applied Mathematics and Computation. 159:509-537

Témata: Riemann zeta function, Hurwitz and Lerch zeta functions, multiple Gamma functions, 0101 mathematics, Gamma, beta and polygamma functions, Hurwitz zeta function, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2128846
https://doi.org/10.1016/j.amc.2003.08.134
http://www.sciencedirect.com/science/article/pii/S0096300303011433
https://dl.acm.org/citation.cfm?id=2641958
https://dblp.uni-trier.de/db/journals/amc/amc159.html#ChoiCS04
https://dl.acm.org/doi/10.1016/j.amc.2003.08.134
https://www.sciencedirect.com/science/article/abs/pii/S0096300303011433

Asymptotic expansions of the Hurwitz–Lerch zeta function: Asymptotic expansions of the Hurwitz--Lerch zeta function

Autoři: José L. López Chelo Ferreira

Zdroj: Journal of Mathematical Analysis and Applications. 298:210-224

Témata: Analytic continuation, Representations of entire functions of one complex variable by series and integrals, Asymptotic expansions, Applied Mathematics, Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences, Analysis, Hurwitz-Lerch zeta function

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2117737
https://doi.org/10.1016/j.jmaa.2004.05.040
http://pcmap.unizar.es/~chelo/investig/publicaciones/chelo/Hurwitz-Lerch/original.pdf
https://www.sciencedirect.com/science/article/pii/S0022247X04003920
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04003920

On Generalized Hardy Sums s 5(h, k): On generalized Hardy sums \(s_5(h,k)\).

Autoři: Y. Simsek

Zdroj: Ukrainian Mathematical Journal. 56:1712-1719

Témata: generalized periodic Bernoulli function, Farey fraction, Dedekind eta function, Dedekind sums, Dedekind sum, Lambert series, generalized Hardy sum, Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://dspace.nbuv.gov.ua/xmlui/bitstream/123456789/164826/1/13-Simsek.pdf
https://zbmath.org/2208867
https://doi.org/10.1007/s11253-005-0146-2
https://link.springer.com/article/10.1007%2Fs11253-005-0146-2
https://link.springer.com/content/pdf/10.1007%2Fs11253-005-0146-2.pdf

The Lerch function and the thermodynamical functions of the ideal quantum gases: The Lerch function and the thermodynamical functions of the ideal quantum gases.

Autoři: Salvino Ciccariello

Zdroj: Journal of Mathematical Physics. 45:3353-3361

Témata: 0103 physical sciences, Quantum equilibrium statistical mechanics (general), Hurwitz and Lerch zeta functions, 01 natural sciences, Higher logarithm functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2123057
https://doi.org/10.1063/1.1771481
http://ui.adsabs.harvard.edu/abs/2004JMP....45.3353C/abstract
https://aip.scitation.org/doi/abs/10.1063/1.1771481

On the apostol-bernoulli polynomials: On the Apostol-Bernoulli polynomials

Autoři: Qiu-Ming Luo

Zdroj: Open Mathematics, Vol 2, Iss 4, Pp 509-515 (2004)

Témata: Apostol-Bernoulli numbers, Lerch functional equation, Bernoulli polynomials, stirling numbers of the second kind, bernoulli polynomials, Hurwitz and Lerch zeta functions, apostol-bernoulli numbers, Hurwitz zeta function, 01 natural sciences, Gaussian hypergeometric functions, Stirling numbers of the second kind, apostol-bernoulli polynomials, hurwitz zeta functions, Classical hypergeometric functions, \({}_2F_1\), bernoulli numbers, gaussian hypergeometric functions, Apostol-Bernoulli polynomials, QA1-939, lerch functional equation, 0101 mathematics, Bernoulli and Euler numbers and polynomials, Mathematics, primary: 11b68, secondary: 33c05, 11m35, 30e20, Bernoulli numbers

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/1eaf65639ed845258facbdd1455934e3
https://rd.springer.com/article/10.2478/BF02475959
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.doi-10_2478_BF02475959
https://link.springer.com/10.2478%2FBF02475959
https://link.springer.com/article/10.2478/BF02475959