Xu, Ce; Zhao, Jianqiang Variants of multiple zeta values with even and odd summation indices. (English) Zbl 07489538 Math. Z. 300, No. 3, 3109-3142 (2022). MSC: 11M06 11M32 11M99 11G55 06A11 PDF BibTeX XML Cite \textit{C. Xu} and \textit{J. Zhao}, Math. Z. 300, No. 3, 3109--3142 (2022; Zbl 07489538) Full Text: DOI arXiv OpenURL
Si, Xin Euler-type sums involving multiple harmonic sums and binomial coefficients. (English) Zbl 07517517 Open Math. 19, 1612-1619 (2021). MSC: 11M32 PDF BibTeX XML Cite \textit{X. Si}, Open Math. 19, 1612--1619 (2021; Zbl 07517517) Full Text: DOI OpenURL
Xu, Ce Extensions of Euler-type sums and Ramanujan-type sums. (English) Zbl 07474141 Kyushu J. Math. 75, No. 2, 295-322 (2021). MSC: 65B10 11M99 11M06 11M32 PDF BibTeX XML Cite \textit{C. Xu}, Kyushu J. Math. 75, No. 2, 295--322 (2021; Zbl 07474141) Full Text: DOI arXiv OpenURL
Takeyama, Yoshihiro On a weighted sum of multiple \(T\)-values of fixed weight and depth. (English) Zbl 07438206 Bull. Aust. Math. Soc. 104, No. 3, 398-405 (2021). MSC: 11M32 33C90 PDF BibTeX XML Cite \textit{Y. Takeyama}, Bull. Aust. Math. Soc. 104, No. 3, 398--405 (2021; Zbl 07438206) Full Text: DOI arXiv OpenURL
Fujita, Kento; Komori, Yasushi A congruence between symmetric multiple zeta-star values and multiple zeta-star values. (English) Zbl 07423437 Kyushu J. Math. 75, No. 1, 149-167 (2021). Reviewer: Yilmaz Simsek (Antalya) MSC: 11M32 PDF BibTeX XML Cite \textit{K. Fujita} and \textit{Y. Komori}, Kyushu J. Math. 75, No. 1, 149--167 (2021; Zbl 07423437) Full Text: DOI OpenURL
Xu, Ce Duality formulas for Arakawa-Kaneko zeta values and related variants. (English) Zbl 1468.11180 Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3001-3018 (2021). MSC: 11M32 11M06 PDF BibTeX XML Cite \textit{C. Xu}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3001--3018 (2021; Zbl 1468.11180) Full Text: DOI OpenURL
Diaconu, Adrian; Whitehead, Ian On the third moment of \(L(\frac{1}{2},\chi_d)\). II: The number field case. (English) Zbl 1480.11059 J. Eur. Math. Soc. (JEMS) 23, No. 6, 2051-2070 (2021). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F68 11M06 11M32 PDF BibTeX XML Cite \textit{A. Diaconu} and \textit{I. Whitehead}, J. Eur. Math. Soc. (JEMS) 23, No. 6, 2051--2070 (2021; Zbl 1480.11059) Full Text: DOI arXiv OpenURL
Kaneko, Masanobu; Xu, Ce; Yamamoto, Shuji A generalized regularization theorem and Kawashima’s relation for multiple zeta values. (English) Zbl 07347047 J. Algebra 580, 247-263 (2021). MSC: 11M32 PDF BibTeX XML Cite \textit{M. Kaneko} et al., J. Algebra 580, 247--263 (2021; Zbl 07347047) Full Text: DOI arXiv OpenURL
Eie, Minking; Lee, Tung-Yang Some alternating sums of multiple zeta values of height one. (English) Zbl 1469.11319 J. Math. Anal. Appl. 498, No. 1, Article ID 124957, 20 p. (2021). MSC: 11M32 33B15 40B05 PDF BibTeX XML Cite \textit{M. Eie} and \textit{T.-Y. Lee}, J. Math. Anal. Appl. 498, No. 1, Article ID 124957, 20 p. (2021; Zbl 1469.11319) Full Text: DOI OpenURL
Chubarikov, V. N. On multiple trigonometric sums related with prime numbers. (English. Russian original) Zbl 1469.11257 Mosc. Univ. Math. Bull. 75, No. 6, 227-238 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 3-13 (2020). MSC: 11L03 33B10 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Mosc. Univ. Math. Bull. 75, No. 6, 227--238 (2020; Zbl 1469.11257); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 3--13 (2020) Full Text: DOI OpenURL
Shen, Zhongyan; Qin, Zhenbo Hilbert schemes of points and quasi-modularity. (English) Zbl 1460.14014 Pure Appl. Math. Q. 16, No. 5, 1697-1730 (2020). Reviewer: Scott Nollet (Fort Worth) MSC: 14C05 11B65 17B69 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{Z. Qin}, Pure Appl. Math. Q. 16, No. 5, 1697--1730 (2020; Zbl 1460.14014) Full Text: DOI OpenURL
Kaneko, Masanobu; Tsumura, Hirofumi Zeta functions connecting multiple zeta values and poly-Bernoulli numbers. (English) Zbl 1476.11120 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 181-204 (2020). MSC: 11M32 11M99 11B68 PDF BibTeX XML Cite \textit{M. Kaneko} and \textit{H. Tsumura}, Adv. Stud. Pure Math. 84, 181--204 (2020; Zbl 1476.11120) Full Text: DOI arXiv Euclid OpenURL
Hoffman, Michael E. Quasi-shuffle algebras and applications. (English) Zbl 1439.11222 Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 327-348 (2020). MSC: 11M32 16T05 PDF BibTeX XML Cite \textit{M. E. Hoffman}, IRMA Lect. Math. Theor. Phys. 32, 327--348 (2020; Zbl 1439.11222) Full Text: DOI arXiv OpenURL
Kaneko, Masanobu; Pallewatta, Maneka; Tsumura, Hirofumi On polycosecant numbers. (English) Zbl 1476.11040 J. Integer Seq. 23, No. 6, Article 20.6.4, 17 p. (2020). MSC: 11B68 11M32 11M99 PDF BibTeX XML Cite \textit{M. Kaneko} et al., J. Integer Seq. 23, No. 6, Article 20.6.4, 17 p. (2020; Zbl 1476.11040) Full Text: arXiv Link OpenURL
Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin A decomposition of \(\zeta(2n+3)\) into sums of multiple zeta values. (English) Zbl 1469.11284 Rocky Mt. J. Math. 50, No. 2, 551-558 (2020). MSC: 11M06 11M32 33E20 40B05 PDF BibTeX XML Cite \textit{M. Eie} et al., Rocky Mt. J. Math. 50, No. 2, 551--558 (2020; Zbl 1469.11284) Full Text: DOI Euclid OpenURL
Mező, I. Log-sine-polylog integrals and alternating Euler sums. (English) Zbl 1463.11143 Acta Math. Hung. 160, No. 1, 45-57 (2020). MSC: 11M32 PDF BibTeX XML Cite \textit{I. Mező}, Acta Math. Hung. 160, No. 1, 45--57 (2020; Zbl 1463.11143) Full Text: DOI OpenURL
Hirose, Minoru; Murahara, Hideki; Saito, Shingo Polynomial generalization of the regularization theorem for multiple zeta values. (English) Zbl 1469.11321 Publ. Res. Inst. Math. Sci. 56, No. 1, 207-215 (2020). MSC: 11M32 05A19 PDF BibTeX XML Cite \textit{M. Hirose} et al., Publ. Res. Inst. Math. Sci. 56, No. 1, 207--215 (2020; Zbl 1469.11321) Full Text: DOI arXiv OpenURL
Xu, Ce Evaluations of Euler-type sums of weight \(\le 5\). (English) Zbl 1432.11130 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 847-877 (2020). MSC: 11M41 PDF BibTeX XML Cite \textit{C. Xu}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 847--877 (2020; Zbl 1432.11130) Full Text: DOI arXiv OpenURL
Igarashi, Masahiro Duality relations among multiple series with three parameters. (English) Zbl 1472.11237 Tunis. J. Math. 2, No. 1, 217-236 (2020). MSC: 11M32 11M35 PDF BibTeX XML Cite \textit{M. Igarashi}, Tunis. J. Math. 2, No. 1, 217--236 (2020; Zbl 1472.11237) Full Text: DOI OpenURL
Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana Generating functions for multiple zeta star values. (English. French summary) Zbl 1454.11164 J. Théor. Nombres Bordx. 31, No. 2, 343-360 (2019). Reviewer: István Mező (Nanjing) MSC: 11M32 11M35 05A15 30B10 30D05 39B32 PDF BibTeX XML Cite \textit{K. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, J. Théor. Nombres Bordx. 31, No. 2, 343--360 (2019; Zbl 1454.11164) Full Text: DOI arXiv OpenURL
Glazunov, Nikolaĭ Mikhaĭlovich \(p\)-adic \(L\)-functions and \(p\)-adic multiple zeta values. (English) Zbl 1441.11218 Chebyshevskiĭ Sb. 20, No. 1(69), 112-130 (2019). MSC: 11M32 11M38 PDF BibTeX XML Cite \textit{N. M. Glazunov}, Chebyshevskiĭ Sb. 20, No. 1(69), 112--130 (2019; Zbl 1441.11218) Full Text: DOI arXiv MNR OpenURL
Machide, Tomoya A generating function to generalize the sum formula for quadruple zeta values. (English) Zbl 1445.11088 Tokyo J. Math. 42, No. 2, 329-355 (2019). MSC: 11M32 16S34 20C07 PDF BibTeX XML Cite \textit{T. Machide}, Tokyo J. Math. 42, No. 2, 329--355 (2019; Zbl 1445.11088) Full Text: DOI arXiv Euclid OpenURL
Xu, Ce Evaluations of nonlinear Euler sums of weight ten. (English) Zbl 1428.11149 Appl. Math. Comput. 346, 594-611 (2019). MSC: 11M06 11M32 11M41 40A05 PDF BibTeX XML Cite \textit{C. Xu}, Appl. Math. Comput. 346, 594--611 (2019; Zbl 1428.11149) Full Text: DOI arXiv OpenURL
Kaneko, Masanobu; Oyama, Kojiro; Saito, Shingo Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values. (English) Zbl 1470.11227 Bull. Aust. Math. Soc. 100, No. 1, 34-40 (2019). MSC: 11M32 11B68 PDF BibTeX XML Cite \textit{M. Kaneko} et al., Bull. Aust. Math. Soc. 100, No. 1, 34--40 (2019; Zbl 1470.11227) Full Text: DOI arXiv OpenURL
Machide, Tomoya Identity involving symmetric sums of regularized multiple zeta-star values. (English) Zbl 1457.11118 Mosc. J. Comb. Number Theory 8, No. 2, 125-136 (2019). Reviewer: Nils Matthes (Oxford) MSC: 11M32 11B73 PDF BibTeX XML Cite \textit{T. Machide}, Mosc. J. Comb. Number Theory 8, No. 2, 125--136 (2019; Zbl 1457.11118) Full Text: DOI arXiv Euclid OpenURL
Chung, Chan-Liang On the sum relation of multiple Hurwitz zeta functions. (English) Zbl 1459.11174 Quaest. Math. 42, No. 3, 297-305 (2019). MSC: 11M35 05A15 PDF BibTeX XML Cite \textit{C.-L. Chung}, Quaest. Math. 42, No. 3, 297--305 (2019; Zbl 1459.11174) Full Text: DOI arXiv OpenURL
Ikeda, Soichi; Matsuoka, Kaneaki On the functional relations for the Euler-Zagier multiple zeta-functions. (English) Zbl 1448.11167 Tokyo J. Math. 41, No. 2, 477-485 (2018). MSC: 11M32 39B32 PDF BibTeX XML Cite \textit{S. Ikeda} and \textit{K. Matsuoka}, Tokyo J. Math. 41, No. 2, 477--485 (2018; Zbl 1448.11167) Full Text: DOI OpenURL
Oyama, Kojiro Ohno-type relation for finite multiple zeta values. (English) Zbl 1458.11133 Kyushu J. Math. 72, No. 2, 277-285 (2018). Reviewer: Zhonghua Li (Shanghai) MSC: 11M32 05A19 PDF BibTeX XML Cite \textit{K. Oyama}, Kyushu J. Math. 72, No. 2, 277--285 (2018; Zbl 1458.11133) Full Text: DOI arXiv OpenURL
Eie, Minking; Lee, Tung-Yang Sum formulas of multiple zeta values with selected arguments. (English) Zbl 1454.11162 Int. J. Number Theory 14, No. 10, 2617-2630 (2018). MSC: 11M32 11M35 11B68 PDF BibTeX XML Cite \textit{M. Eie} and \textit{T.-Y. Lee}, Int. J. Number Theory 14, No. 10, 2617--2630 (2018; Zbl 1454.11162) Full Text: DOI OpenURL
Oi, Shu; Ueno, Kimio Fundamental solutions of the Knizhnik-Zamolodchikov equation of one variable and the Riemann-Hilbert problem. (English) Zbl 1416.11118 Tokyo J. Math. 41, No. 1, 1-20 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11G55 11M41 34M50 30E25 32G34 PDF BibTeX XML Cite \textit{S. Oi} and \textit{K. Ueno}, Tokyo J. Math. 41, No. 1, 1--20 (2018; Zbl 1416.11118) Full Text: DOI arXiv OpenURL
Igarashi, Masahiro Note on relations among multiple zeta(-star) values. (English) Zbl 1418.11123 Ital. J. Pure Appl. Math. 39, 710-756 (2018). MSC: 11M32 33C20 PDF BibTeX XML Cite \textit{M. Igarashi}, Ital. J. Pure Appl. Math. 39, 710--756 (2018; Zbl 1418.11123) Full Text: arXiv Link OpenURL
Harada, Ryotaro On Euler’s formulae for double zeta values. (English) Zbl 1429.11165 Kyushu J. Math. 72, No. 1, 15-24 (2018). MSC: 11M32 PDF BibTeX XML Cite \textit{R. Harada}, Kyushu J. Math. 72, No. 1, 15--24 (2018; Zbl 1429.11165) Full Text: DOI arXiv OpenURL
Xu, Ce Some evaluation of cubic Euler sums. (English) Zbl 1405.11111 J. Math. Anal. Appl. 466, No. 1, 789-805 (2018). MSC: 11M32 PDF BibTeX XML Cite \textit{C. Xu}, J. Math. Anal. Appl. 466, No. 1, 789--805 (2018; Zbl 1405.11111) Full Text: DOI arXiv OpenURL
Xu, Ce Identities for the multiple zeta (star) values. (English) Zbl 1432.11125 Result. Math. 73, No. 1, Paper No. 3, 22 p. (2018). MSC: 11M32 40B05 33E20 PDF BibTeX XML Cite \textit{C. Xu}, Result. Math. 73, No. 1, Paper No. 3, 22 p. (2018; Zbl 1432.11125) Full Text: DOI arXiv OpenURL
Eie, Minking; Ong, Yao Lin Sum formulas of multiple zeta values with even arguments and polynomial weights. (English) Zbl 1440.11168 J. Number Theory 188, 247-262 (2018). MSC: 11M32 40B05 11M41 33E20 PDF BibTeX XML Cite \textit{M. Eie} and \textit{Y. L. Ong}, J. Number Theory 188, 247--262 (2018; Zbl 1440.11168) Full Text: DOI OpenURL
Jiu, Lin; Moll, Victor H.; Vignat, Christophe A symbolic approach to multiple zeta values at negative integers. (English) Zbl 1429.11166 J. Symb. Comput. 84, 1-13 (2018). MSC: 11M32 68W30 PDF BibTeX XML Cite \textit{L. Jiu} et al., J. Symb. Comput. 84, 1--13 (2018; Zbl 1429.11166) Full Text: DOI arXiv OpenURL
Saito, Shingo Numerical tables of finite multiple zeta values. (English) Zbl 1423.11153 RIMS Kôkyûroku Bessatsu B68, 191-208 (2017). MSC: 11M32 PDF BibTeX XML Cite \textit{S. Saito}, RIMS Kôkyûroku Bessatsu B68, 191--208 (2017; Zbl 1423.11153) OpenURL
Terasoma, Tomohide \(\Phi\)-cohomology theory. (English) Zbl 1432.11123 RIMS Kôkyûroku Bessatsu B68, 67-90 (2017). MSC: 11M32 14F43 PDF BibTeX XML Cite \textit{T. Terasoma}, RIMS Kôkyûroku Bessatsu B68, 67--90 (2017; Zbl 1432.11123) OpenURL
Chung, Chan-Liang; Eie, Minking Some variations of multiple zeta values. (English) Zbl 1396.11108 Rocky Mt. J. Math. 47, No. 7, 2107-2131 (2017). Reviewer: Zhonghua Li (Shanghai) MSC: 11M32 PDF BibTeX XML Cite \textit{C.-L. Chung} and \textit{M. Eie}, Rocky Mt. J. Math. 47, No. 7, 2107--2131 (2017; Zbl 1396.11108) Full Text: DOI Euclid OpenURL
Chung, Chan-Liang; Eie, Minking Duality theorems of multiple zeta values with parameters. (English) Zbl 1429.11164 N. Z. J. Math. 47, 87-95 (2017). MSC: 11M32 11M06 40B05 33E20 PDF BibTeX XML Cite \textit{C.-L. Chung} and \textit{M. Eie}, N. Z. J. Math. 47, 87--95 (2017; Zbl 1429.11164) Full Text: arXiv Link OpenURL
Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin Several weighted sum formulas of multiple zeta values. (English) Zbl 1428.11151 Int. J. Number Theory 13, No. 9, 2253-2264 (2017). MSC: 11M32 33E20 PDF BibTeX XML Cite \textit{M. Eie} et al., Int. J. Number Theory 13, No. 9, 2253--2264 (2017; Zbl 1428.11151) Full Text: DOI OpenURL
Chen, Kwang-Wu; Chung, Chan-Liang Sum relations of multiple zeta star values with even arguments. (English) Zbl 1429.11162 Mediterr. J. Math. 14, No. 3, Paper No. 110, 13 p. (2017). MSC: 11M32 11M06 11B68 PDF BibTeX XML Cite \textit{K.-W. Chen} and \textit{C.-L. Chung}, Mediterr. J. Math. 14, No. 3, Paper No. 110, 13 p. (2017; Zbl 1429.11162) Full Text: DOI OpenURL
Sakata, Mika Taylor series for the reciprocal gamma function and multiple zeta values. (English) Zbl 1429.11168 Proc. Japan Acad., Ser. A 93, No. 6, 47-49 (2017). MSC: 11M32 PDF BibTeX XML Cite \textit{M. Sakata}, Proc. Japan Acad., Ser. A 93, No. 6, 47--49 (2017; Zbl 1429.11168) Full Text: DOI Euclid OpenURL
Jiu, Lin Integral representations of equally positive integer-indexed harmonic sums at infinity. (English) Zbl 1397.11137 Res. Number Theory 3, Paper No. 10, 4 p. (2017). MSC: 11M32 05A15 33B15 PDF BibTeX XML Cite \textit{L. Jiu}, Res. Number Theory 3, Paper No. 10, 4 p. (2017; Zbl 1397.11137) Full Text: DOI arXiv OpenURL
Speyer, David E. Some sums over irreducible polynomials. (English) Zbl 1432.11127 Algebra Number Theory 11, No. 5, 1231-1241 (2017). MSC: 11M38 05E05 11M32 PDF BibTeX XML Cite \textit{D. E. Speyer}, Algebra Number Theory 11, No. 5, 1231--1241 (2017; Zbl 1432.11127) Full Text: DOI arXiv OpenURL
Chen, Kevin; Zhao, Jianqiang Supercongruences involving multiple harmonic sums and Bernoulli numbers. (English) Zbl 1422.11001 J. Integer Seq. 20, No. 6, Article 17.6.8, 22 p. (2017). MSC: 11A07 11B68 PDF BibTeX XML Cite \textit{K. Chen} and \textit{J. Zhao}, J. Integer Seq. 20, No. 6, Article 17.6.8, 22 p. (2017; Zbl 1422.11001) Full Text: arXiv EMIS OpenURL
Xu, Ce Multiple zeta values and Euler sums. (English) Zbl 1406.11089 J. Number Theory 177, 443-478 (2017). MSC: 11M32 11M06 33B15 PDF BibTeX XML Cite \textit{C. Xu}, J. Number Theory 177, 443--478 (2017; Zbl 1406.11089) Full Text: DOI arXiv OpenURL
Chung, Chan-Liang; Ong, Yao Lin Decomposition theorems produced from differential operators. (English) Zbl 1407.11100 J. Number Theory 175, 200-222 (2017). MSC: 11M32 11M35 40B05 PDF BibTeX XML Cite \textit{C.-L. Chung} and \textit{Y. L. Ong}, J. Number Theory 175, 200--222 (2017; Zbl 1407.11100) Full Text: DOI OpenURL
Machide, Tomoya Identities involving cyclic and symmetric sums of regularized multiple zeta values. (English) Zbl 1396.11109 Pac. J. Math. 286, No. 2, 307-359 (2017). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11M32 16S34 20C05 PDF BibTeX XML Cite \textit{T. Machide}, Pac. J. Math. 286, No. 2, 307--359 (2017; Zbl 1396.11109) Full Text: DOI arXiv OpenURL
Hessami Pilehrood, Kh.; Hessami Pilehrood, T. An alternative proof of a theorem of Zagier. (English) Zbl 1420.11119 J. Math. Anal. Appl. 449, No. 1, 168-175 (2017). MSC: 11M32 33C20 PDF BibTeX XML Cite \textit{Kh. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, J. Math. Anal. Appl. 449, No. 1, 168--175 (2017; Zbl 1420.11119) Full Text: DOI OpenURL
Jian, Run-Qiang Quantum quasi-shuffle algebras. II. (English) Zbl 1400.16025 J. Algebra 472, 480-506 (2017). MSC: 16T25 17B37 PDF BibTeX XML Cite \textit{R.-Q. Jian}, J. Algebra 472, 480--506 (2017; Zbl 1400.16025) Full Text: DOI OpenURL
Chung, Chan-Liang; Ong, Yao Lin On vectorized weighted sum formulas of multiple zeta values. (English) Zbl 1357.11079 Taiwanese J. Math. 20, No. 2, 243-261 (2016). MSC: 11M32 40A05 33E20 PDF BibTeX XML Cite \textit{C.-L. Chung} and \textit{Y. L. Ong}, Taiwanese J. Math. 20, No. 2, 243--261 (2016; Zbl 1357.11079) Full Text: DOI OpenURL
Saito, Shingo; Wakabayashi, Noriko Bowman-Bradley type theorem for finite multiple zeta values. (English) Zbl 1412.11107 Tohoku Math. J. (2) 68, No. 2, 241-251 (2016). MSC: 11M32 05A19 PDF BibTeX XML Cite \textit{S. Saito} and \textit{N. Wakabayashi}, Tohoku Math. J. (2) 68, No. 2, 241--251 (2016; Zbl 1412.11107) Full Text: DOI arXiv Euclid Link OpenURL
Broedel, Johannes; Matthes, Nils; Schlotterer, Oliver Relations between elliptic multiple zeta values and a special derivation algebra. (English) Zbl 1354.81045 J. Phys. A, Math. Theor. 49, No. 15, Article ID 155203, 49 p. (2016). Reviewer: Yang-Hui He (London) MSC: 81T30 11M32 33E05 PDF BibTeX XML Cite \textit{J. Broedel} et al., J. Phys. A, Math. Theor. 49, No. 15, Article ID 155203, 49 p. (2016; Zbl 1354.81045) Full Text: DOI arXiv Link OpenURL
Chung, Chan-Liang; Eie, Minking; Lee, Tung-Yang Another expression of the restricted sum formula of multiple zeta values. (English) Zbl 1412.11102 J. Number Theory 166, 452-472 (2016). MSC: 11M32 40B05 11M06 33E20 PDF BibTeX XML Cite \textit{C.-L. Chung} et al., J. Number Theory 166, 452--472 (2016; Zbl 1412.11102) Full Text: DOI OpenURL
Ma, Ding Inverse of some matrix related to double zeta values of odd weight. (English) Zbl 1415.11118 J. Number Theory 166, 166-180 (2016). MSC: 11M32 11B65 11B68 PDF BibTeX XML Cite \textit{D. Ma}, J. Number Theory 166, 166--180 (2016; Zbl 1415.11118) Full Text: DOI arXiv OpenURL
Ünver, Sinan Cyclotomic \(p\)-adic multi-zeta values in depth two. (English) Zbl 1344.14018 Manuscr. Math. 149, No. 3-4, 405-441 (2016). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14G20 14G22 11M32 14C15 PDF BibTeX XML Cite \textit{S. Ünver}, Manuscr. Math. 149, No. 3--4, 405--441 (2016; Zbl 1344.14018) Full Text: DOI arXiv OpenURL
Machide, Tomoya Congruence identities of regularized multiple zeta values involving a pair of index sets. (English) Zbl 1408.11089 Int. J. Number Theory 12, No. 2, 409-426 (2016). MSC: 11M32 PDF BibTeX XML Cite \textit{T. Machide}, Int. J. Number Theory 12, No. 2, 409--426 (2016; Zbl 1408.11089) Full Text: DOI arXiv OpenURL
Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin The decomposition theorem of products of multiple zeta values of height one. (English) Zbl 1408.11087 Int. J. Number Theory 12, No. 1, 15-25 (2016). MSC: 11M32 11M41 PDF BibTeX XML Cite \textit{M. Eie} et al., Int. J. Number Theory 12, No. 1, 15--25 (2016; Zbl 1408.11087) Full Text: DOI OpenURL
Eie, Minking; Lee, Tung Yang; Ong, Yaolin Shuffle products of a single zeta value and multiple zeta values of height one with applications in combinatorics. (English) Zbl 1349.11129 Southeast Asian Bull. Math. 39, No. 5, 613-624 (2015). MSC: 11M32 PDF BibTeX XML Cite \textit{M. Eie} et al., Southeast Asian Bull. Math. 39, No. 5, 613--624 (2015; Zbl 1349.11129) OpenURL
Ikeda, Soichi; Matsuoka, Kaneaki On certain mean values of multiple zeta-functions. (English) Zbl 1377.11100 Comment. Math. Univ. St. Pauli 64, No. 1, 19-27 (2015). MSC: 11M32 11M06 PDF BibTeX XML Cite \textit{S. Ikeda} and \textit{K. Matsuoka}, Comment. Math. Univ. St. Pauli 64, No. 1, 19--27 (2015; Zbl 1377.11100) OpenURL
Saito, Shingo; Wakabayashi, Noriko Sum formula for finite multiple zeta values. (English) Zbl 1329.11093 J. Math. Soc. Japan 67, No. 3, 1069-1076 (2015). Reviewer: István Mező (Debrecen) MSC: 11M32 PDF BibTeX XML Cite \textit{S. Saito} and \textit{N. Wakabayashi}, J. Math. Soc. Japan 67, No. 3, 1069--1076 (2015; Zbl 1329.11093) Full Text: DOI arXiv Euclid OpenURL
Ikeda, Soichi; Matsuoka, Kaneaki; Nagata, Yoshikazu On certain mean values of the double zeta-function. (English) Zbl 1369.11066 Nagoya Math. J. 217, 161-190 (2015). Reviewer: Zhonghua Li (Shanghai) MSC: 11M32 PDF BibTeX XML Cite \textit{S. Ikeda} et al., Nagoya Math. J. 217, 161--190 (2015; Zbl 1369.11066) Full Text: DOI arXiv Euclid OpenURL
Okamoto, Takuya; Onozuka, Tomokazu Mean value theorems for the Mordell-Tornheim double zeta-function. (English) Zbl 1381.11083 Ramanujan J. 37, No. 1, 131-163 (2015). MSC: 11M32 11M06 PDF BibTeX XML Cite \textit{T. Okamoto} and \textit{T. Onozuka}, Ramanujan J. 37, No. 1, 131--163 (2015; Zbl 1381.11083) Full Text: DOI OpenURL
Chen, Kwang-Wu Applications of stuffle product of multiple zeta values. (English) Zbl 1365.11102 J. Number Theory 153, 107-116 (2015). MSC: 11M32 05A15 PDF BibTeX XML Cite \textit{K.-W. Chen}, J. Number Theory 153, 107--116 (2015; Zbl 1365.11102) Full Text: DOI OpenURL
Zudilin, Wadim Multiple \(q\)-zeta brackets. (English) Zbl 1312.11069 Mathematics 3, No. 1, 119-130 (2015). MSC: 11M32 PDF BibTeX XML Cite \textit{W. Zudilin}, Mathematics 3, No. 1, 119--130 (2015; Zbl 1312.11069) Full Text: DOI arXiv OpenURL
Chung, Chan-Liang; Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin Decomposition of products of Riemann zeta values. (English) Zbl 1316.11079 J. Number Theory 150, 1-20 (2015). Reviewer: Giovanni Coppola (Avellino) MSC: 11M32 40A25 40B05 11M06 33E20 PDF BibTeX XML Cite \textit{C.-L. Chung} et al., J. Number Theory 150, 1--20 (2015; Zbl 1316.11079) Full Text: DOI OpenURL
Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values. (English) Zbl 1391.11103 Monatsh. Math. 176, No. 2, 275-291 (2015). MSC: 11M32 11B65 05A30 PDF BibTeX XML Cite \textit{K. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, Monatsh. Math. 176, No. 2, 275--291 (2015; Zbl 1391.11103) Full Text: DOI arXiv OpenURL
Dilcher, K.; Hessami Pilehrood, Kh.; Hessami Pilehrood, T. On \(q\)-analogues of double Euler sums. (English) Zbl 1379.11017 J. Math. Anal. Appl. 410, No. 2, 979-988 (2014). MSC: 11B65 11M32 33D05 PDF BibTeX XML Cite \textit{K. Dilcher} et al., J. Math. Anal. Appl. 410, No. 2, 979--988 (2014; Zbl 1379.11017) Full Text: DOI OpenURL
Okounkov, Andrei Hilbert schemes and multiple \(q\)-zeta values. (English. Russian original) Zbl 1327.14026 Funct. Anal. Appl. 48, No. 2, 138-144 (2014); translation from Funkts. Anal Prilozh. 48, No. 2, 79-87 (2014). MSC: 14C05 11B65 14N10 11M32 PDF BibTeX XML Cite \textit{A. Okounkov}, Funct. Anal. Appl. 48, No. 2, 138--144 (2014; Zbl 1327.14026); translation from Funkts. Anal Prilozh. 48, No. 2, 79--87 (2014) Full Text: DOI arXiv OpenURL
Ding, Shifeng An algorithm for some Euler-type identities for multiple Hurwitz-zeta values. (Chinese. English summary) Zbl 1313.11110 Adv. Math., Beijing 43, No. 4, 534-542 (2014). MSC: 11M32 11M35 PDF BibTeX XML Cite \textit{S. Ding}, Adv. Math., Beijing 43, No. 4, 534--542 (2014; Zbl 1313.11110) OpenURL
Hessami Pilehrood, Kh.; Hessami Pilehrood, T.; Tauraso, R. New properties of multiple harmonic sums modulo \(p\) and \(p\)-analogues of Leshchiner’s series. (English) Zbl 1308.11018 Trans. Am. Math. Soc. 366, No. 6, 3131-3159 (2014). MSC: 11B65 11A07 11M32 11B68 PDF BibTeX XML Cite \textit{Kh. Hessami Pilehrood} et al., Trans. Am. Math. Soc. 366, No. 6, 3131--3159 (2014; Zbl 1308.11018) Full Text: DOI arXiv OpenURL
Guo, Li; Paycha, Sylvie; Zhang, Bin Conical zeta values and their double subdivision relations. (English) Zbl 1294.11145 Adv. Math. 252, 343-381 (2014). Reviewer: Zhonghua Li (Shanghai) MSC: 11M32 11H06 52C07 52B11 32F99 PDF BibTeX XML Cite \textit{L. Guo} et al., Adv. Math. 252, 343--381 (2014; Zbl 1294.11145) Full Text: DOI arXiv OpenURL
Imatomi, Kohtaro; Kaneko, Masanobu; Takeda, Erika Multi-poly-Bernoulli numbers and finite multiple zeta values. (English) Zbl 1353.11032 J. Integer Seq. 17, No. 4, Article 14.4.5, 12 p. (2014). MSC: 11B68 11M32 11B73 PDF BibTeX XML Cite \textit{K. Imatomi} et al., J. Integer Seq. 17, No. 4, Article 14.4.5, 12 p. (2014; Zbl 1353.11032) Full Text: EMIS OpenURL
Li, Zhong-Hua Another proof of Zagier’s evaluation formula of the multiple zeta values \(\zeta (2, \dots , 2, 3, 2, \dots , 2)\). (English) Zbl 1294.11146 Math. Res. Lett. 20, No. 5, 947-950 (2013). MSC: 11M32 33C20 PDF BibTeX XML Cite \textit{Z.-H. Li}, Math. Res. Lett. 20, No. 5, 947--950 (2013; Zbl 1294.11146) Full Text: DOI OpenURL
Tian, Qing; Ding, Liping; Mei, Yonggang Evaluation of a class of double \(L\)-values of Tornheim’s type. (English) Zbl 1299.11066 Adv. Math., Beijing 42, No. 5, 655-664 (2013). MSC: 11M41 40B05 PDF BibTeX XML Cite \textit{Q. Tian} et al., Adv. Math., Beijing 42, No. 5, 655--664 (2013; Zbl 1299.11066) OpenURL
Eie, Minking; Wei, Chuan-Sheng Generalizations of Euler decomposition and their applications. (English) Zbl 1286.11134 J. Number Theory 133, No. 8, 2475-2495 (2013). MSC: 11M32 33E99 PDF BibTeX XML Cite \textit{M. Eie} and \textit{C.-S. Wei}, J. Number Theory 133, No. 8, 2475--2495 (2013; Zbl 1286.11134) Full Text: DOI OpenURL
Machide, T. Generators for vector spaces spanned by double zeta values with even weight. (English) Zbl 1285.11111 J. Number Theory 133, No. 7, 2240-2246 (2013). MSC: 11M41 11M32 PDF BibTeX XML Cite \textit{T. Machide}, J. Number Theory 133, No. 7, 2240--2246 (2013; Zbl 1285.11111) Full Text: DOI arXiv OpenURL
Onodera, Kazuhiro Mordell-Tornheim multiple zeta values at non-positive integers. (English) Zbl 1356.11057 Ramanujan J. 32, No. 2, 221-226 (2013). MSC: 11M32 11B68 40B05 PDF BibTeX XML Cite \textit{K. Onodera}, Ramanujan J. 32, No. 2, 221--226 (2013; Zbl 1356.11057) Full Text: DOI OpenURL
Ong, Yao Lin On vector generalizations of Vandermonde’s convolution. (English) Zbl 1287.40001 Taiwanese J. Math. 17, No. 5, 1677-1691 (2013). Reviewer: Cristinel Mortici (Târgovişte) MSC: 40A25 40B05 11M41 11M06 33E20 PDF BibTeX XML Cite \textit{Y. L. Ong}, Taiwanese J. Math. 17, No. 5, 1677--1691 (2013; Zbl 1287.40001) Full Text: DOI Link OpenURL
Machide, Tomoya Extended double shuffle relations and the generating function of triple zeta values of any fixed weight. (English) Zbl 1318.11111 Kyushu J. Math. 67, No. 2, 281-307 (2013). MSC: 11M32 PDF BibTeX XML Cite \textit{T. Machide}, Kyushu J. Math. 67, No. 2, 281--307 (2013; Zbl 1318.11111) Full Text: DOI arXiv OpenURL
Machide, Tomoya Some restricted sum formulas for double zeta values. (English) Zbl 1362.11079 Proc. Japan Acad., Ser. A 89, No. 3, 51-54 (2013). MSC: 11M32 11B68 PDF BibTeX XML Cite \textit{T. Machide}, Proc. Japan Acad., Ser. A 89, No. 3, 51--54 (2013; Zbl 1362.11079) Full Text: DOI arXiv Euclid OpenURL
Ong, Yao Lin; Eie, Minking; Liaw, Wen-Chin On generalizations of weighted sum formulas of multiple zeta values. (English) Zbl 1271.11087 Int. J. Number Theory 9, No. 5, 1185-1198 (2013). MSC: 11M32 PDF BibTeX XML Cite \textit{Y. L. Ong} et al., Int. J. Number Theory 9, No. 5, 1185--1198 (2013; Zbl 1271.11087) Full Text: DOI OpenURL
Li, Zhong-Hua Regularized double shuffle and Ohno-Zagier relations of multiple zeta values. (English) Zbl 1292.11095 J. Number Theory 133, No. 2, 596-610 (2013). MSC: 11M32 PDF BibTeX XML Cite \textit{Z.-H. Li}, J. Number Theory 133, No. 2, 596--610 (2013; Zbl 1292.11095) Full Text: DOI OpenURL
Zhao, Jianqiang Finiteness of \(p\)-divisible sets of multiple harmonic sums. (English) Zbl 1295.11093 Ann. Sci. Math. Qué. 36, No. 1, 259-283 (2012). MSC: 11M32 PDF BibTeX XML Cite \textit{J. Zhao}, Ann. Sci. Math. Qué. 36, No. 1, 259--283 (2012; Zbl 1295.11093) Full Text: arXiv OpenURL
Eie, Minking; Lee, Tung-Yang; Ong, Yao Lin Applications of shuffle products of multiple zeta values in combinatorics. (English) Zbl 1304.11099 J. Comb. Number Theory 4, No. 3, 144-160 (2012). Reviewer: Renata Macaitiene (Vilnius) MSC: 11M41 40A25 40B05 11M06 33E20 PDF BibTeX XML Cite \textit{M. Eie} et al., J. Comb. Number Theory 4, No. 3, 144--160 (2012; Zbl 1304.11099) OpenURL
Hessami Pilehrood, Kh.; Hessami Pilehrood, T. Congruences arising from Apéry-type series for zeta values. (English) Zbl 1293.11030 Adv. Appl. Math. 49, No. 3-5, 218-238 (2012). Reviewer: Romeo Meštrović (Kotor) MSC: 11B65 05A10 11B68 11A07 33F10 11B39 11M06 PDF BibTeX XML Cite \textit{Kh. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, Adv. Appl. Math. 49, No. 3--5, 218--238 (2012; Zbl 1293.11030) Full Text: DOI arXiv OpenURL
Wakabayashi, Noriko On Hoffman’s relation for multiple zeta-star values. (English) Zbl 1272.11100 Int. J. Number Theory 8, No. 8, 1971-1976 (2012). MSC: 11M32 PDF BibTeX XML Cite \textit{N. Wakabayashi}, Int. J. Number Theory 8, No. 8, 1971--1976 (2012; Zbl 1272.11100) Full Text: DOI OpenURL
Machide, Tomoya Weighted sums with two parameters of multiple zeta values and their formulas. (English) Zbl 1287.11106 Int. J. Number Theory 8, No. 8, 1903-1921 (2012). MSC: 11M32 PDF BibTeX XML Cite \textit{T. Machide}, Int. J. Number Theory 8, No. 8, 1903--1921 (2012; Zbl 1287.11106) Full Text: DOI arXiv OpenURL
Kondo, Hiroki; Saito, Shingo; Tanaka, Tatsushi The Bowman-Bradley theorem for multiple zeta-star values. (English) Zbl 1269.11082 J. Number Theory 132, No. 9, 1984-2002 (2012). MSC: 11M32 05A19 PDF BibTeX XML Cite \textit{H. Kondo} et al., J. Number Theory 132, No. 9, 1984--2002 (2012; Zbl 1269.11082) Full Text: DOI arXiv OpenURL
Eie, Minking; Wei, Chuan-Sheng Evaluations of some quadruple Euler sums of even weight. (English) Zbl 1243.40004 Funct. Approximatio, Comment. Math. 46, No. 1, 63-77 (2012). Reviewer: Cristinel Mortici (Târgovişte) MSC: 40A25 40B05 11M32 11M35 PDF BibTeX XML Cite \textit{M. Eie} and \textit{C.-S. Wei}, Funct. Approximatio, Comment. Math. 46, No. 1, 63--77 (2012; Zbl 1243.40004) Full Text: DOI Euclid OpenURL
Igarashi, Masahiro A generalization of Ohno’s relation for multiple zeta values. (English) Zbl 1269.11079 J. Number Theory 132, No. 4, 565-578 (2012). MSC: 11M32 11M35 PDF BibTeX XML Cite \textit{M. Igarashi}, J. Number Theory 132, No. 4, 565--578 (2012; Zbl 1269.11079) Full Text: DOI arXiv OpenURL
Takeyama, Yoshihiro Quadratic relations for a \(q\)-analogue of multiple zeta values. (English) Zbl 1305.05021 Ramanujan J. 27, No. 1, 15-28 (2012). MSC: 05A30 11M32 PDF BibTeX XML Cite \textit{Y. Takeyama}, Ramanujan J. 27, No. 1, 15--28 (2012; Zbl 1305.05021) Full Text: DOI arXiv OpenURL
Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim Cyclic \(q\)-MZSV sum. (English) Zbl 1268.11119 J. Number Theory 132, No. 1, 144-155 (2012). MSC: 11M32 11G55 16W25 33D70 PDF BibTeX XML Cite \textit{Y. Ohno} et al., J. Number Theory 132, No. 1, 144--155 (2012; Zbl 1268.11119) Full Text: DOI OpenURL
Shen, Zhongyan; Cai, Tianxin Some identities for multiple Hurwitz-zeta values. (Chinese. English summary) Zbl 1479.11153 Sci. Sin., Math. 41, No. 11, 955-970 (2011). MSC: 11M35 11M32 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{T. Cai}, Sci. Sin., Math. 41, No. 11, 955--970 (2011; Zbl 1479.11153) Full Text: DOI OpenURL
Onodera, Kazuhiro Generalized log sine integrals and the Mordell-Tornheim zeta values. (English) Zbl 1232.11089 Trans. Am. Math. Soc. 363, No. 3, 1463-1485 (2011). Reviewer: Khodabakhsh Hessami Pilehrood (Mogilev) MSC: 11M32 11M35 33E20 PDF BibTeX XML Cite \textit{K. Onodera}, Trans. Am. Math. Soc. 363, No. 3, 1463--1485 (2011; Zbl 1232.11089) Full Text: DOI OpenURL
Igarashi, Masahiro Cyclic sum of certain parametrized multiple series. (English) Zbl 1229.11118 J. Number Theory 131, No. 3, 508-518 (2011). Reviewer: Anton Deitmar (Tübingen) MSC: 11M32 PDF BibTeX XML Cite \textit{M. Igarashi}, J. Number Theory 131, No. 3, 508--518 (2011; Zbl 1229.11118) Full Text: DOI OpenURL
Terasoma, Tomohide Period integral and multiple zeta values. (English. Japanese original) Zbl 1242.14009 Sugaku Expo. 23, No. 1, 91-103 (2010); translation from Sūgaku 57, No. 3, 255–266 (2005). Reviewer: Noriko Yui (Kingston) MSC: 14C30 11M32 14D07 14G35 PDF BibTeX XML Cite \textit{T. Terasoma}, Sugaku Expo. 23, No. 1, 91--103 (2010; Zbl 1242.14009); translation from Sūgaku 57, No. 3, 255--266 (2005) Full Text: Link OpenURL
André, Yves An introduction to motivic zeta functions of motives. (English) Zbl 1214.81094 Carey, Alan (ed.) et al., Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5199-9/pbk). Clay Mathematics Proceedings 12, 3-17 (2010). MSC: 81Q30 19F27 14D23 14D21 PDF BibTeX XML Cite \textit{Y. André}, Clay Math. Proc. 12, 3--17 (2010; Zbl 1214.81094) Full Text: arXiv OpenURL
Sasaki, Yoshitaka On multiple higher Mahler measures and multiple \(L\) values. (English) Zbl 1238.11081 Acta Arith. 144, No. 2, 159-165 (2010). Reviewer: Artūras Dubickas (Vilnius) MSC: 11M32 11M06 PDF BibTeX XML Cite \textit{Y. Sasaki}, Acta Arith. 144, No. 2, 159--165 (2010; Zbl 1238.11081) Full Text: DOI OpenURL