Generating functions of multiple t-star values of general level: Generating functions of multiple \(t\)-star values of general level

Συγγραφείς: Zhonghua Li, Lu Yan

Πηγή: Advances in Applied Mathematics. 165:102853

Θεματικοί όροι: 11M32, 05A15, generating function, Mathematics - Number Theory, Multiple Dirichlet series and zeta functions and multizeta values, Exact enumeration problems, generating functions, multiple \(t\)-star value, FOS: Mathematics, Number Theory (math.NT), alternating multiple \(t\)-half value, multiple \(t\)-star value of general level

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2305.14031

A note on some alternating series involving zeta and multiple zeta values

Συγγραφείς: Marc-Antoine Coppo

Πηγή: Journal of Mathematical Analysis and Applications. 475:1831-1841

Θεματικοί όροι: Ramanujan summation of divergent series, Multiple Dirichlet series and zeta functions and multizeta values, Riemann zeta function, multiple zeta values, 0101 mathematics, Bernoulli and Euler numbers and polynomials, Other Dirichlet series and zeta functions, harmonic zeta function, 01 natural sciences, Stirling numbers, Bernoulli numbers

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/am/pii/S0022247X19302781
https://zbmath.org/7053186
https://doi.org/10.1016/j.jmaa.2019.03.057
https://www.sciencedirect.com/science/article/pii/S0022247X19302781
https://hal.univ-cotedazur.fr/hal-01735381

Multiple Dedekind zeta functions and evaluations of extended multiple zeta values

Συγγραφείς: Riad Masri

Πηγή: Journal of Number Theory. 115:295-309

Θεματικοί όροι: Extended multiple zeta values, Algebra and Number Theory, meromorphic continuation, Multiple Dirichlet series and zeta functions and multizeta values, Multiple Dedekind zeta function, Continuation of analytic objects in several complex variables, 0101 mathematics, Other Dirichlet series and zeta functions, Meromorphic continuation, extended multiple zeta values, 01 natural sciences, multiple Dedekind zeta function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2244603
https://doi.org/10.1016/j.jnt.2004.12.010
https://core.ac.uk/display/82733985
https://www.ma.utexas.edu/users/riad/MDZF1.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0022314X0400263X
https://www.sciencedirect.com/science/article/pii/S0022314X0400263X

Duality for finite multiple harmonic q-series: Duality for finite multiple harmonic \(q\)-series

Συγγραφείς: David M. Bradley

Πηγή: Discrete Mathematics. 300:44-56

Θεματικοί όροι: Duality, Gaussian binomial coefficients, \(q\)-series, 33D15, 0102 computer and information sciences, Multiple harmonic series, multiple zeta values, Finite q-analog, q-series, 01 natural sciences, Theoretical Computer Science, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Multiple Dirichlet series and zeta functions and multizeta values, FOS: Mathematics, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Number Theory (math.NT), 0101 mathematics, 05A30, Mathematics - Number Theory, Multiple zeta values, Binomial coefficients, factorials, \(q\)-identities, Finite \(q\)-analog, duality, Combinatorics (math.CO)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/math/0402092
https://zbmath.org/2217930
https://doi.org/10.1016/j.disc.2005.06.008
https://core.ac.uk/display/82585902
http://www.math.umaine.edu/~bradley/papers/qKarlHarmonicGalley.pdf
https://www.arxiv-vanity.com/papers/math/0402092/
https://arxiv.org/pdf/math/0402092v2
https://www.sciencedirect.com/science/article/pii/S0012365X05003080
http://ui.adsabs.harvard.edu/abs/2004math......2092B/abstract

Sum Relations for Multiple Zeta Values and Connection Formulas for the Gauss Hypergeometric Functions: Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions

Συγγραφείς: Yasuo Ohno, Takashi Aoki

Πηγή: Publications of the Research Institute for Mathematical Sciences. 41:329-337

Θεματικοί όροι: Mathematics - Number Theory, 40B05, multiple zeta function, hypergeometric function, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), explicit formulas, 11M06, Mathematics - Classical Analysis and ODEs, Multiple Dirichlet series and zeta functions and multizeta values, \(\zeta (s)\) and \(L(s, \chi)\), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Number Theory (math.NT), 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=41&iss=2&rank=5
http://arxiv.org/abs/math/0307264
https://zbmath.org/2230582
https://doi.org/10.2977/prims/1145475357
http://ci.nii.ac.jp/naid/110001240003
https://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=41&iss=2&rank=5
https://tohoku.pure.elsevier.com/en/publications/sum-relations-for-multiple-zeta-values-and-connection-formulas-fo
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=41&iss=2&rank=5

Multiple q-zeta values: Multiple \(q\)-zeta values

Συγγραφείς: David M. Bradley

Πηγή: Journal of Algebra. 283:752-798

Θεματικοί όροι: q-Analog, Algebra and Number Theory, Mathematics - Number Theory, \(q\)-analog, Lambert series, \(q\)-series, q-Series, Multiple harmonic series, 33D15, 05A30, Multiple zeta values, 01 natural sciences, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 11M41, Multiple Dirichlet series and zeta functions and multizeta values, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Number Theory (math.NT), 0101 mathematics, Polylogarithms and relations with \(K\)-theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/math/0402093
https://zbmath.org/2136609
https://doi.org/10.1016/j.jalgebra.2004.09.017
https://www.sciencedirect.com/science/article/pii/S0021869304005447
http://www.sciencedirect.com/science/article/pii/S0021869304005447
https://ui.adsabs.harvard.edu/abs/2004math......2093B/abstract
https://arxiv.org/abs/math/0402093
https://core.ac.uk/display/82493744
http://www.math.umaine.edu/~bradley/papers/qMzv.pdf

p-Adic multi-zeta values: \(p\)-adic multi-zeta values

Συγγραφείς: Sinan Ünver

Πηγή: Journal of Number Theory. 108:111-156

Θεματικοί όροι: Algebra and Number Theory, Zeta functions and \(L\)-functions, Multiple Dirichlet series and zeta functions and multizeta values, projective line minus three points, Crystalline frobenius, crystalline Frobenius, multiple zeta values, 0101 mathematics, Multiple zeta values, 01 natural sciences, Projective line minus three points

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0022314X04001003
https://core.ac.uk/display/82113073
http://portal.ku.edu.tr/~sunver/files/multizeta-p%20copy.pdf
http://home.ku.edu.tr/~sunver/files/multizeta-p%20copy.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0022314X04001003

Relations of multiple zeta values and their algebraic expression: Relations of multiple zeta values and their algebraic expression.

Συγγραφείς: Michael E. Hoffman, Yasuo Ohno

Πηγή: Journal of Algebra. 262:332-347

Θεματικοί όροι: Cyclic derivation, Symmetric functions and generalizations, Algebra and Number Theory, cyclic derivation, 16W30 (Primary), 11M06, 16W25 (Secondary), quasi-symmetric functions, multiple zeta values, Multiple zeta values, 01 natural sciences, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Quasi-symmetric functions, Multiple Dirichlet series and zeta functions and multizeta values, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/math/0010140
https://zbmath.org/1917898
https://doi.org/10.1016/s0021-8693(03)00016-4
https://www.sciencedirect.com/science/article/pii/S0021869303000164
https://www.sciencedirect.com/science/article/abs/pii/S0021869303000164
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124926
https://tohoku.pure.elsevier.com/en/publications/relations-of-multiple-zeta-values-and-their-algebraic-expression

Identities for Generalized Polylogarithms: Identities for generalized polylogarithms

Συγγραφείς: E. A. Ulanskii

Πηγή: Mathematical Notes. 73:571-581

Θεματικοί όροι: multiple zeta function, algebraic independence, Transcendence (general theory), Multiple Dirichlet series and zeta functions and multizeta values, fractional-linear transformation, Connections of hypergeometric functions with groups and algebras, and related topics, 0102 computer and information sciences, generalized polylogarithm, 0101 mathematics, 01 natural sciences, Polylogarithms and relations with \(K\)-theory, Higher logarithm functions, classical polylogarithm

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/A:1023219623604

identities for generalized polylogarithms: Identities for generalized polylogarithms

Συγγραφείς: E. A. Ulanskii

Πηγή: Mathematical Notes. 73(3):571-581

Θεματικοί όροι: multiple zeta function, algebraic independence, Transcendence (general theory), Multiple Dirichlet series and zeta functions and multizeta values, fractional-linear transformation, Connections of hypergeometric functions with groups and algebras, and related topics, generalized polylogarithm, Polylogarithms and relations with \(K\)-theory, Higher logarithm functions, classical polylogarithm

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/A:1023219623604

Algebraic relations for multiple zeta values: Algebraic relations for multiple zeta values.

Συγγραφείς: Zudilin, W.

Συνεισφορές: Faculty of Science, School of Mathematical and Physical Sciences

Πηγή: Russian Mathematical Surveys. 58:1-29

Θεματικοί όροι: Irrationality, linear independence over a field, polynomial relations, mathematics, Multiple Dirichlet series and zeta functions and multizeta values, Other basic hypergeometric functions and integrals in several variables, Riemann zeta function, 0101 mathematics, 01 natural sciences, Polylogarithms and relations with \(K\)-theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://carma.newcastle.edu.au/wadim/PS/mzv_rms.pdf
http://ui.adsabs.harvard.edu/abs/2003RuMaS..58....1Z/abstract

Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables

Συγγραφείς: N. E. Oussous, M. Bigotte, M. Petitot, G. Jacob

Πηγή: Theoretical Computer Science. 273:271-282

Θεματικοί όροι: Shuffle algebra, Symmetric functions and generalizations, Coloured multiple zeta values function, Combinatorics on words, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), fonction zêta multi-indicée colorée, Lyndon words, 01 natural sciences, Quasi-symmetric function, Theoretical Computer Science, Coloured polylogarithm function, Multiple Dirichlet series and zeta functions and multizeta values, coloured multiple zeta values function, quasi-symmetric function, coloured polylogarithm function, Numerical approximation and evaluation of special functions, 0101 mathematics, Gröbner basis, Polylogarithms and relations with \(K\)-theory, shuffle algebra, Computer Science(all)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1768207
https://doi.org/10.1016/s0304-3975(00)00445-x
https://www.sciencedirect.com/science/article/pii/S030439750000445X
https://dblp.uni-trier.de/db/journals/tcs/tcs273.html#BigotteJOP02
https://dl.acm.org/doi/10.1016/S0304-3975%2800%2900445-X

Multiple zeta values of fixed weight, depth, and height

Συγγραφείς: Yasuo Ohno, Don Zagier

Πηγή: Indagationes Mathematicae. 12:483-487

Θεματικοί όροι: Mathematics(all), Landbouwwetenschappen, Wiskunde: algemeen, Natuurwetenschappen, Multiple Dirichlet series and zeta functions and multizeta values, 0101 mathematics, 01 natural sciences, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://10.10.70.176:8080/experts/en/publications/cb198b84-a083-4cdf-8372-06f18b4dee37
https://tohoku.pure.elsevier.com/en/publications/multiple-zeta-values-of-fixed-weight-depth-and-height
https://www.sciencedirect.com/science/article/pii/S0019357701800379
http://www.sciencedirect.com/science/article/pii/S0019357701800379
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3125155

Special values of multiple polylogarithms

Συγγραφείς: Borwein, Jonathan M., Bradley, David M., Broadhurst, David J., Lisoněk, Petr

Συνεισφορές: Faculty of Science & Information Technology, School of Mathematical and Physical Sciences

Πηγή: Transactions of the American Mathematical Society. 353:907-941

Θεματικοί όροι: Zagier sums, multiple polylogarithm, Other functions defined by series and integrals, 40B05, integral representations, multiple zeta values, 01 natural sciences, Higher logarithm functions, Evaluation of number-theoretic constants, Multiple Dirichlet series and zeta functions and multizeta values, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Riemann zeta function, multiple harmonic series, 0101 mathematics, quantum field theory, Polylogarithms and relations with \(K\)-theory, Combinatorial identities, bijective combinatorics, Riemann zeta-function, 33E20, knot theory, Euler sums, stuffles, multiple zeta value reduction, Mathematics - Classical Analysis and ODEs, shuffles, Combinatorics (math.CO), polylogarithms

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://www.ams.org/tran/2001-353-03/S0002-9947-00-02616-7/S0002-9947-00-02616-7.pdf
http://arxiv.org/abs/math/9910045
https://www.ams.org/tran/2001-353-03/S0002-9947-00-02616-7/
https://www.ams.org/tran/2001-353-03/S0002-9947-00-02616-7/S0002-9947-00-02616-7.pdf
http://oro.open.ac.uk/9651/

Shuffle algebra and polylogarithms

Συγγραφείς: Joris van der Hoeven, Michel Petitot, Hoang Ngoc Minh

Πηγή: Discrete Mathematics. 225:217-230

Θεματικοί όροι: monodromy, Lyndon words, Associative rings and algebras arising under various constructions, 0102 computer and information sciences, Multiple zeta values, 01 natural sciences, Theoretical Computer Science, Multiple Dirichlet series and zeta functions and multizeta values, Monodromy, Discrete Mathematics and Combinatorics, 0101 mathematics, Polylogarithms, Polylogarithms and relations with \(K\)-theory, shuffle algebra

Περιγραφή αρχείου: application/xml

Lyndon words, polylogarithms and the Riemann ζ function: Lyndon words, polylogarithms and the Riemann \(\zeta\) function

Συγγραφείς: Michel Petitot, Hoang Ngoc Minh

Πηγή: Discrete Mathematics. 217:273-292

Θεματικοί όροι: Combinatorics on words, Multiple Dirichlet series and zeta functions and multizeta values, Discrete Mathematics and Combinatorics, multiple zeta values, 0101 mathematics, 01 natural sciences, Polylogarithms and relations with \(K\)-theory, Theoretical Computer Science

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1453356
https://doi.org/10.1016/s0012-365x(99)00267-8
https://dblp.uni-trier.de/db/journals/dm/dm217.html#MinhP00
https://www.sciencedirect.com/science/article/pii/S0012365X99002678
https://www.sciencedirect.com/science/article/abs/pii/S0012365X99002678
https://doi.org/10.1016/S0012-365X(99)00267-8

A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values: A generalization of the duality and sum formulas on the multiple zeta values

Συγγραφείς: Yasuo Ohno

Πηγή: Journal of Number Theory. 74:39-43

Θεματικοί όροι: Algebra and Number Theory, Multiple Dirichlet series and zeta functions and multizeta values, sum formulas, multiple zeta values, polylogarithm, 0101 mathematics, 01 natural sciences, duality theorem

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1271763
https://doi.org/10.1006/jnth.1998.2314
https://ir.library.osaka-u.ac.jp/repo/ouka/all/24544/13614_%E8%A6%81%E6%97%A8.pdf
https://www.sciencedirect.com/science/article/pii/S0022314X98923149
http://www.sciencedirect.com/science/article/pii/S0022314X98923149
https://ir.library.osaka-u.ac.jp/repo/ouka/all/24544/
https://core.ac.uk/display/82809048
http://ir.library.osaka-u.ac.jp/dspace/bitstream/11094/24544/1/13614_%E8%AB%96%E6%96%87.pdf

Multiple zeta values, poly-Bernoulli numbers, and related zeta functions

Συγγραφείς: Arakawa, Tsuneo, Kaneko, Masanobu

Πηγή: Nagoya Math. J. 153 (1999), 189-209

Θεματικοί όροι: special values at negative arguments, Multiple Dirichlet series and zeta functions and multizeta values, 11M41, 0101 mathematics, 11B68, Other Dirichlet series and zeta functions, Bernoulli and Euler numbers and polynomials, 01 natural sciences, poly-Bernoulli numbers, 6. Clean water

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A288E136A88572FFF95837EE84E23F7F/S0027763000006954a.pdf/div-class-title-multiple-zeta-values-poly-bernoulli-numbers-and-related-zeta-functions-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A288E136A88572FFF95837EE84E23F7F/S0027763000006954a.pdf/div-class-title-multiple-zeta-values-poly-bernoulli-numbers-and-related-zeta-functions-div.pdf
https://ci.nii.ac.jp/naid/110000023590
http://catalog.lib.kyushu-u.ac.jp/ja/recordID/20424
https://projecteuclid.org/download/pdf_1/euclid.nmj/1114630825
https://projecteuclid.org/journals/nagoya-mathematical-journal/volume-153/issue-none/Multiple-zeta-values-poly-Bernoulli-numbers-and-related-zeta-functions/nmj/1114630825.full
https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/multiple-zeta-values-polybernoulli-numbers-and-related-zeta-functions/A288E136A88572FFF95837EE84E23F7F
http://projecteuclid.org/euclid.nmj/1114630825

Kontsevich’s integral for the Kauffman polynomial: Kontsevich's integral for the Kauffman polynomial

Συγγραφείς: Le, Thang Tu Quoc, Murakami, Jun

Πηγή: Nagoya Math. J. 142 (1996), 39-65

Θεματικοί όροι: links, Kauffman polynomial, 57M25, Multiple Dirichlet series and zeta functions and multizeta values, Knots and links in the \(3\)-sphere, 0101 mathematics, 11M99, 16. Peace & justice, 01 natural sciences, Simple, semisimple, reductive (super)algebras, Kontsevich's integral

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/273A9C50A04A7CDF43159F04A400FDFD/S0027763000005638a.pdf/div-class-title-kontsevich-s-integral-for-the-kauffman-polynomial-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/273A9C50A04A7CDF43159F04A400FDFD/S0027763000005638a.pdf/div-class-title-kontsevich-s-integral-for-the-kauffman-polynomial-div.pdf
https://projecteuclid.org/download/pdf_1/euclid.nmj/1118772043
http://ci.nii.ac.jp/naid/110000023485
https://waseda.pure.elsevier.com/ja/publications/kontsevichs-integral-for-the-kauffman-polynomial
https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/kontsevichs-integral-for-the-kauffman-polynomial/273A9C50A04A7CDF43159F04A400FDFD
https://projecteuclid.org/journals/nagoya-mathematical-journal/volume-142/issue-none/Kontsevichs-integral-for-the-Kauffman-polynomial/nmj/1118772043.full
http://projecteuclid.org/euclid.nmj/1118772043

Convolution of Riemann zeta-values: Convolution of Riemann zeta-value

Συγγραφείς: Masami Yoshimoto, Yoshio Tanigawa, Shigeru Kanemitsu

Πηγή: J. Math. Soc. Japan 57, no. 4 (2005), 1167-1177

Θεματικοί όροι: 0301 basic medicine, 03 medical and health sciences, 11M06, Riemann zeta-values, \(\zeta (s)\) and \(L(s, \chi)\), Multiple Dirichlet series and zeta functions and multizeta values, Euler-Zagier sum, 11M41, 0101 mathematics, Other Dirichlet series and zeta functions, 01 natural sciences, Mellin transform

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/2246517
https://doi.org/10.2969/jmsj/1150287308
http://ci.nii.ac.jp/naid/10017178185
https://projecteuclid.org/journals/journal-of-the-mathematical-society-of-japan/volume-57/issue-4/Convolution-of-Riemann-zeta-values/10.2969/jmsj/1150287308.full
http://projecteuclid.org/euclid.jmsj/1150287308