Egami, Shigeki; Matsumoto, Kohji A function-field analogue of the Goldbach counting function and the associated Dirichlet series. (English) Zbl 1534.11108 Bull. Korean Math. Soc. 61, No. 1, 135-145 (2024). MSC: 11M41 11M06 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Onodera, Kazuhiro; Sahoo, Dilip K. Mordell-Tornheim multiple zeta-functions, their integral analogues, and relations among multiple polylogarithms. arXiv:2409.19980 Preprint, arXiv:2409.19980 [math.NT] (2024). MSC: 11M32 × Cite Format Result Cite Full Text: arXiv OA License
Matsumoto, Kohji; Suzuki, Masatoshi \(M\)-functions and screw functions originating from Goldbach’s problem and zeros of the Riemann zeta function. arXiv:2409.00888 Preprint, arXiv:2409.00888 [math.NT] (2024). MSC: 11M41 11P32 11M26 11M99 × Cite Format Result Cite Full Text: arXiv OA License
Matsumoto, Kohji; Umegaki, Yumiko Asymptotic formulas for the logarithm of general L-functions at and near s=1. arXiv:2401.17610 Preprint, arXiv:2401.17610 [math.NT] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi The theory of zeta-functions of root systems. (English) Zbl 07720870 Springer Monographs in Mathematics. Singapore: Springer (ISBN 978-981-99-0909-4/hbk; 978-981-99-0912-4/pbk; 978-981-99-0910-0/ebook). ix, 414 p. (2023). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11-02 11M41 17B22 × Cite Format Result Cite Review PDF Full Text: DOI
Kačinskaitė, Roma; Matsumoto, Kohji; Pańkowski, Łukasz On mixed joint discrete universality for a class of zeta-functions: one more case. (English) Zbl 07692590 Taiwanese J. Math. 27, No. 2, 221-236 (2023). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M06 11M41 11M36 41A30 30E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Tsumura, Hirofumi Double Dirichlet series associated with arithmetic functions. II. (English) Zbl 1533.11164 Kodai Math. J. 46, No. 1, 10-30 (2023). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M41 11M06 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Nakasuji, Maki Expressions of content-parametrized Schur multiple zeta-functions via the Giambelli formula. arXiv:2301.05801 Preprint, arXiv:2301.05801 [math.NT] (2023). MSC: 11M32 17B22 × Cite Format Result Cite Full Text: arXiv OA License
Matsumoto, Kohji; Matsusaka, Toshiki; Tanackov, Ilija On the behavior of multiple zeta-functions with identical arguments on the real line. (English) Zbl 1489.11132 J. Number Theory 239, 151-182 (2022). MSC: 11M32 11B83 11M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kačinskaitė, Roma; Matsumoto, Kohji A survey of the theory of mixed joint universality for zeta-functions. (English) Zbl 1495.11103 Kurşungöz, Kağan (ed.) et al., Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1–5, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 47-59 (2022). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11M41 11M35 × Cite Format Result Cite Review PDF Full Text: DOI
Lebacque, Philippe; Matsumoto, Kohji; Mine, Masahiro; Umegaki, Yumiko On the value-distribution of the logarithms of symmetric power L-functions in the level aspect. arXiv:2209.11918 Preprint, arXiv:2209.11918 [math.NT] (2022). MSC: 11F66 11F41 11M41 × Cite Format Result Cite Full Text: arXiv OA License
Lebacque, Philippe; Matsumoto, Kohji; Umegaki, Yumiko On the value-distribution of the logarithms of symmetric square L-functions in the level aspect. arXiv:2205.00601 Preprint, arXiv:2205.00601 [math.NT] (2022). MSC: 11M41 11F66 11F67 × Cite Format Result Cite Full Text: arXiv OA License
Matsumoto, Kohji An \(M\)-function associated with Goldbach’s problem. (English) Zbl 1490.11090 J. Ramanujan Math. Soc. 36, No. 4, 339-352 (2021). Reviewer: David Joyner (Annapolis) MSC: 11M41 11P32 11M26 11M99 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Matsumoto, Kohji; Nawashiro, Akihiko; Tsumura, Hirofumi Double Dirichlet series associated with arithmetic functions. (English) Zbl 1495.11107 Kodai Math. J. 44, No. 3, 437-456 (2021). MSC: 11M32 11M06 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kačinskaitė, Roma; Matsumoto, Kohji The discrete case of the mixed joint universality for a class of certain partial zeta-functions. (English) Zbl 1483.11191 Taiwanese J. Math. 25, No. 4, 647-663 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M36 11M06 11M41 41A30 30E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji A survey on the theory of multiple Dirichlet series with arithmetical coefficients as numerators. (English) Zbl 1484.11180 Lith. Math. J. 61, No. 3, 391-400 (2021). MSC: 11M32 11M26 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Nakasuji, Maki Expressions of Schur multiple zeta-functions of anti-hook type by zeta-functions of root systems. (English) Zbl 1488.11133 Publ. Math. Debr. 98, No. 3-4, 345-377 (2021). Reviewer: Anton Deitmar (Tübingen) MSC: 11M32 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Eddin, Sumaia Saad An asymptotic formula for the \(2k\)-th power mean value of \(|(L^{\prime}/L)(1+it_0, \chi)|\). (English) Zbl 1484.11175 J. Math. Soc. Japan 73, No. 3, 781-814 (2021). Reviewer: Sami Omar (Sukhair) MSC: 11M06 11Y35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Essouabri, Driss; Matsumoto, Kohji Values of multiple zeta functions with polynomial denominators at non-positive integers. (English) Zbl 1470.11226 Int. J. Math. 32, No. 6, Article ID 2150038, 41 p. (2021). MSC: 11M32 11J81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kačinskaitė, Roma; Matsumoto, Kohji On mixed joint discrete universality for a class of zeta-functions: a further generalization. (English) Zbl 1486.11101 Math. Model. Anal. 25, No. 4, 569-583 (2020). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11M41 11M35 41A30 30E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi An overview and supplements to the theory of functional relations for zeta-functions of root systems. (English) Zbl 1456.11170 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, 263-295 (2020). MSC: 11M41 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Matsumoto, Kohji; Onozuka, Tomokazu; Wakabayashi, Isao Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points. (English) Zbl 1445.11089 Math. Z. 295, No. 1-2, 623-642 (2020). Reviewer: Jiangtao Li (Peking) MSC: 11M32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Shōji, Mayumi Numerical computations on the zeros of the Euler double zeta-function. II. (English) Zbl 1468.11177 Eur. J. Math. 6, No. 2, 488-507 (2020). MSC: 11M32 11M35 11Y35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Zeta-functions of root systems and Poincaré polynomials of Weyl groups. (English) Zbl 1450.11092 Tohoku Math. J. (2) 72, No. 1, 87-126 (2020). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M41 11B68 11F27 11M32 11M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Essouabri, Driss; Matsumoto, Kohji Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions. (English) Zbl 1458.11131 Acta Arith. 193, No. 2, 109-131 (2020). MSC: 11M32 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Tanackov, Ilija On the behavior of multiple zeta-functions with identical arguments on the real line I. arXiv:2012.01712 Preprint, arXiv:2012.01712 [math.NT] (2020). MSC: 11M32 × Cite Format Result Cite Full Text: arXiv OA License
Essouabri, Driss; Matsumoto, Kohji Values at non-positive integers of partially twisted multiple zeta-functions. I. (English) Zbl 1443.11176 Comment. Math. Univ. St. Pauli 67, No. 1, 83-100 (2019). MSC: 11M32 11M41 × Cite Format Result Cite Review PDF Full Text: arXiv
Kačinskaitė, Roma; Matsumoto, Kohji On mixed joint discrete universality for a class of zeta-functions. II. (English) Zbl 1486.11112 Lith. Math. J. 59, No. 1, 54-66 (2019). MSC: 11M41 11M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Umegaki, Yumiko On the density function for the value-distribution of automorphic \(L\)-functions. (English) Zbl 1442.11077 J. Number Theory 198, 176-199 (2019). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11F66 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhowmik, Gautami; Halupczok, Karin; Matsumoto, Kohji; Suzuki, Yuta Goldbach representations in arithmetic progressions and zeros of Dirichlet \(L\)-functions. (English) Zbl 1432.11136 Mathematika 65, No. 1, 57-97 (2019). Reviewer: Valentin Blomer (Bonn) MSC: 11P32 11M26 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Umegaki, Yumiko On the value-distribution of the difference between logarithms of two symmetric power \(L\)-functions. (English) Zbl 1429.11093 Int. J. Number Theory 14, No. 7, 2045-2081 (2018). MSC: 11F66 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji On the theory of \(M\)-functions. arXiv:1810.01552 Preprint, arXiv:1810.01552 [math.NT] (2018). MSC: 11M06 11M41 11F66 × Cite Format Result Cite Full Text: arXiv OA License
Matsumoto, Kohji; Umegaki, Yumiko On the value-distribution of symmetric power L-functions. arXiv:1808.05749 Preprint, arXiv:1808.05749 [math.NT] (2018). MSC: 11F66 11M41 × Cite Format Result Cite Full Text: arXiv OA License
Kacinskaite, Roma; Matsumoto, Kohji On mixed joint discrete universality for a class of zeta-functions. (English) Zbl 1439.11235 Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11–17, 2016. Vilnius: Vilnius University Publishing House. 51-66 (2017). MSC: 11M41 11M35 × Cite Format Result Cite Review PDF Full Text: arXiv
Choie, YoungJu; Matsumoto, Kohji Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients. (English) Zbl 1421.11066 RIMS Kôkyûroku Bessatsu B68, 91-109 (2017). MSC: 11M32 11F32 11F68 × Cite Format Result Cite Review PDF Full Text: arXiv
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of \(p\)-adic multiple \(L\)-functions at arbitrary integers. (English) Zbl 1421.11067 RIMS Kôkyûroku Bessatsu B68, 27-66 (2017). MSC: 11M32 11S40 11G55 × Cite Format Result Cite Review PDF Full Text: arXiv
Kačinskaitė, Roma; Matsumoto, Kohji Remarks on the mixed joint universality for a class of zeta functions. (English) Zbl 1376.11067 Bull. Aust. Math. Soc. 95, No. 2, 187-198 (2017). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 11M35 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Desingularization of complex multiple zeta-functions. (English) Zbl 1369.11065 Am. J. Math. 139, No. 1, 147-173 (2017). Reviewer: James Wan (Singapore) MSC: 11M32 32S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Fundamentals of \(p\)-adic multiple \(L\)-functions and evaluation of their special values. (English) Zbl 1367.11082 Sel. Math., New Ser. 23, No. 1, 39-100 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11G55 11M32 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lauriňcikas, Antanas; Matsumoto, Kohji; Steuding, Jörn Discrete universality of \(L\)-functions of new forms. II. (English) Zbl 1351.11057 Lith. Math. J. 56, No. 2, 207-218 (2016). MSC: 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Choie, YoungJu; Matsumoto, Kohji Functional equations for double series of Euler type with coefficients. (English) Zbl 1408.11046 Adv. Math. 292, 529-557 (2016). MSC: 11F68 11F32 11M32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Zeta-functions of weight lattices of compact connected semisimple Lie groups. (English) Zbl 1392.11068 Šiauliai Math. Semin. 10(18), 149-179 (2015). MSC: 11M41 11M32 17B20 40B05 × Cite Format Result Cite Review PDF Full Text: arXiv
Kačinskaitė, Roma; Matsumoto, Kohji The mixed joint universality for a class of zeta-functions. (English) Zbl 1381.11086 Math. Nachr. 288, No. 16, 1900-1909 (2015). MSC: 11M35 11M41 41A28 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji A survey on the theory of universality for zeta and \(L\)-functions. (English) Zbl 1381.11070 Kaneko, Masanobu (ed.) et al., Number theory. Plowing and starring through high wave forms. Proceedings of the 7th China-Japan Seminar, Fukuoka, Japan, October 28 – November 1, 2013. Hackensack, NJ: World Scientific (ISBN 978-981-4644-92-1/hbk; 978-981-4644-94-5/ebook). Series on Number Theory and Its Applications 11, 95-144 (2015). MSC: 11M06 11M35 11-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Infinite series involving hyperbolic functions. (English) Zbl 1381.11090 Lith. Math. J. 55, No. 1, 102-118 (2015). MSC: 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kohji; Tsumura, Hirofumi Mean value theorems for the double zeta-function. (English) Zbl 1355.11088 J. Math. Soc. Japan 67, No. 1, 383-406 (2015). Reviewer: Renata Macaitiene (Vilnius) MSC: 11M32 11M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi On Witten multiple zeta-functions associated with semi-simple Lie algebras V. (English) Zbl 1318.11114 Glasg. Math. J. 57, No. 1, 107-130 (2015). Reviewer: Roma Kačinskaitė (Šiauliai) MSC: 11M41 17B20 40B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ihara, Yasutaka; Matsumoto, Kohji On the value-distribution of logarithmic derivatives of Dirichlet \(L\)-functions. (English) Zbl 1330.11055 Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 79-91 (2014). Reviewer: Roma Kačinskaitė (Šiauliai) MSC: 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji; Shōji, Mayumi Numerical computations on the zeros of the Euler double zeta-function. I. (English) Zbl 1352.11082 Mosc. J. Comb. Number Theory 4, No. 3, 21-39 (2014). MSC: 11M32 11M35 11Y35 × Cite Format Result Cite Review PDF Full Text: arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Lattice sums of hyperplane arrangements. (English) Zbl 1356.11056 Comment. Math. Univ. St. Pauli 63, No. 1-2, 161-213 (2014). MSC: 11M32 11M35 11M41 32S22 52B11 × Cite Format Result Cite Review PDF Full Text: arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi A study on multiple zeta values from the viewpoint of zeta-functions of root systems. (English) Zbl 1357.11080 Funct. Approximatio, Comment. Math. 51, No. 1, 43-76 (2014). MSC: 11M32 11M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Hyperbolic-sine analogues of Eisenstein series, generalized Hurwitz numbers, and \(q\)-zeta functions. (English) Zbl 1323.11068 Forum Math. 26, No. 4, 1071-1115 (2014). Reviewer: Maciej Radziejewski (Poznań) MSC: 11M41 11M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhowmik, Gautami; Matsumoto, Kohji Analytic continuation of random Dirichlet series. (English. Russian original) Zbl 1314.11056 Proc. Steklov Inst. Math. 282, Suppl. 1, S67-S72 (2013); translation from Sovrem. Probl. Mat. 17, 76-81 (2013). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M32 11M06 60B99 × Cite Format Result Cite Review PDF Full Text: DOI
Ishikawa, Hideaki; Matsumoto, Kohji An explicit formula of Atkinson type for the product of \(\zeta(s)\) and a Dirichlet polynomial. II. (English) Zbl 1306.11066 Šiauliai Math. Semin. 8(16), 95-107 (2013). Reviewer: Emilio Elizalde (Bellaterra) MSC: 11M06 11M41 × Cite Format Result Cite Review PDF
Laurinčikas, Antanas; Matsumoto, Kohji; Steuding, Jörn On hybrid universality of certain composite functions involving Dirichlet \(L\)-functions. (English) Zbl 1289.11054 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 41, 85-96 (2013). MSC: 11M06 × Cite Format Result Cite Review PDF Full Text: Link
Laurinčikas, Antanas; Matsumoto, Kohji; Steuding, Jörn Universality of some functions related to zeta-functions of certain cusp forms. (English) Zbl 1282.11120 Osaka J. Math. 50, No. 4, 1021-1037 (2013). MSC: 11M41 × Cite Format Result Cite Review PDF Full Text: Euclid
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions. (English) Zbl 1317.11092 J. Ramanujan Math. Soc. 28, No. 1, 49-69 (2013). MSC: 11M41 11M32 11B68 × Cite Format Result Cite Review PDF Full Text: arXiv
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Desingularization of complex multiple zeta-functions, fundamentals of \(p\)-adic multiple \(L\)-functions, and evaluation of their special values. arXiv:1309.3982 Preprint, arXiv:1309.3982 [math.NT] (2013). MSC: 11M32 11S40 11G55 11M41 11S80 × Cite Format Result Cite Full Text: arXiv OA License
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Functional relations for zeta-functions of weight lattices of Lie groups of type \(A_3\). (English) Zbl 1322.11096 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 5th international conference in honour of J. Kubilius, Palanga, Lithuania, September 4–10, 2011. Vilnius: TEV (ISBN 978-609-433-178-7/hbk). 151-172 (2012). MSC: 11M41 17B20 × Cite Format Result Cite Review PDF Full Text: arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi On Witten multiple zeta-functions associated with semisimple Lie algebras. III. (English) Zbl 1270.11090 Bump, Daniel (ed.) et al., Multiple Dirichlet series, \(L\)-functions and automorphic forms. New York, NY: Birkhäuser (ISBN 978-0-8176-8333-7/hbk; 978-0-8176-8334-4/ebook). Progress in Mathematics 300, 223-286 (2012). MSC: 11M32 11M41 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Evaluation formulas of Cauchy-Mellin type for certain series involving hyperbolic functions. (English) Zbl 1282.11111 Comment. Math. Univ. St. Pauli 60, No. 1-2, 127-142 (2011). Reviewer: Yoshinori Yamasaki (Matsuyama) MSC: 11M32 11M36 11M41 × Cite Format Result Cite Review PDF
Matsumoto, Kohji; Tsumura, Hirofumi Sum formulas for double polylogarithms with a shifting parameter and their derivatives. (English) Zbl 1283.11124 Mosc. J. Comb. Number Theory 1, No. 4, 58-79 (2011). Reviewer: Olaf Ninnemann (Berlin) MSC: 11M32 11M41 × Cite Format Result Cite Review PDF Full Text: arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi A survey on the theory of multiple Bernoulli polynomials and multiple \(L\)-functions of root systems. (English) Zbl 1293.11090 RIMS Kôkyûroku Bessatsu B28, 99-120 (2011). MSC: 11M32 11B68 11M41 × Cite Format Result Cite Review PDF
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Multiple zeta values and zeta-functions of root systems. (English) Zbl 1256.11048 Proc. Japan Acad., Ser. A 87, No. 6, 103-107 (2011). MSC: 11M32 11M41 17B22 × Cite Format Result Cite Review PDF Full Text: DOI
Ihara, Yasutaka; Matsumoto, Kohji On certain mean values and the value-distribution of logarithms of Dirichlet \(L\)-functions. (English) Zbl 1272.11098 Q. J. Math. 62, No. 3, 637-677 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Functional equations for double \(L\)-functions and values at non-positive integers. (English) Zbl 1269.11081 Int. J. Number Theory 7, No. 6, 1441-1461 (2011). MSC: 11M32 11M35 11M06 40B05 × Cite Format Result Cite Review PDF Full Text: DOI
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems. (English) Zbl 1231.11104 Math. Z. 268, No. 3-4, 993-1011 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M32 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ihara, Yasutaka; Matsumoto, Kohji On \(\log L\) and \(L^\prime/L\) for \(L\)-functions and the associated “\(M\)-functions”: connections in optimal cases. (English) Zbl 1255.11041 Mosc. Math. J. 11, No. 1, 73-111 (2011). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11M38 11M41 11R42 × Cite Format Result Cite Review PDF Full Text: Link
Essouabri, Driss; Matsumoto, Kohji; Tsumura, Hirofumi Multiple zeta-functions associated with linear recurrence sequences and the vectorial sum formula. (English) Zbl 1241.11106 Can. J. Math. 63, No. 2, 241-276 (2011). Reviewer: Yoshinori Yamasaki (Matsuyama) MSC: 11M32 11M41 40B05 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Ishikawa, Hideaki; Matsumoto, Kohji An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial. (English) Zbl 1231.11099 Cent. Eur. J. Math. 9, No. 1, 102-126 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11M06 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi On Witten multiple zeta-functions associated with semi-simple Lie algebras. IV. (English) Zbl 1255.11042 Glasg. Math. J. 53, No. 1, 185-206 (2011). MSC: 11M32 11M41 17B20 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi An introduction to the theory of zeta-functions of root systems. (English) Zbl 1275.11123 Bhowmik, Gautami (ed.) et al., Algebraic and analytic aspects of zeta functions and \(L\)-functions. Lectures of the French-Japanese winter school, Miura, Japan, January 8–11, 2008. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-56-3/pbk). MSJ Memoirs 21, 115-140 (2010). Reviewer: Anton Deitmar (Tübingen) MSC: 11M32 11M41 17B10 17B22 × Cite Format Result Cite Review PDF
Matsumoto, Kohji The analytic theory of multiple zeta-functions and its applications. (English. Japanese original) Zbl 1238.11085 Sugaku Expo. 23, No. 2, 143-167 (2010); translation from Sūgaku 59, No. 1, 24-45 (2007). Reviewer: Łukasz Pańkowski (Poznan) MSC: 11M41 11M32 11M26 11M35 × Cite Format Result Cite Review PDF Full Text: Link
Ihara, Yasutaka; Matsumoto, Kohji On \(L\)-functions over function fields: power-means of error-terms and distribution of \(L'/L\)-values. (English) Zbl 1234.11116 RIMS Kôkyûroku Bessatsu B19, 221-247 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M38 11G20 14G10 × Cite Format Result Cite Review PDF
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Functional equations and functional relations for the Euler double zeta-function and its generalization of Eisenstein type. (English) Zbl 1223.11106 Publ. Math. Debr. 77, No. 1-2, 15-31 (2010). Reviewer: Tom M. Apostol (Pasadena) MSC: 11M41 11M99 × Cite Format Result Cite Review PDF
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Functional relations for zeta-functions of root systems. (English) Zbl 1226.11093 Aoki, Takashi (ed.) et al., Number theory. Dreaming in dreams. Proceedings of the 5th China-Japan seminar, Higashi-Osaka, Japan, August 27–31, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4289-84-9/hbk; 978-981-4289-92-4/ebook). Series on Number Theory and Its Applications 6, 135-183 (2010). MSC: 11M41 17B22 × Cite Format Result Cite Review PDF Full Text: DOI
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi On Witten multiple zeta-functions associated with semisimple Lie algebras. II. (English) Zbl 1210.11099 J. Math. Soc. Japan 62, No. 2, 355-394 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M32 11M41 17B22 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi On multiple Bernoulli polynomials and multiple \(L\)-functions of root systems. (English) Zbl 1217.11078 Proc. Lond. Math. Soc. (3) 100, No. 2, 303-347 (2010). MSC: 11M41 17B20 40B05 × Cite Format Result Cite Review PDF Full Text: DOI
Bhowmik, Gautami (ed.); Matsumoto, Kohji (ed.); Tsumura, Hirofumi (ed.) Algebraic and analytic aspects of zeta functions and \(L\)-functions. Lectures of the French-Japanese winter school, Miura, Japan, January 8–11, 2008. (English) Zbl 1181.11001 MSJ Memoirs 21. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-56-3/pbk). ix, 183 p. (2010). MSC: 11-06 11Mxx 11R42 00B25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Garunkštis, Ramūnas; Laurinčikas, Antanas; Matsumoto, Kohji; Steuding, Jörn; Steuding, Rasa Effective uniform approximation by the Riemann zeta-function. (English) Zbl 1223.11101 Publ. Mat., Barc. 54, No. 1, 209-219 (2010). Reviewer: Aleksandar Ivić (Beograd) MSC: 11M06 30E10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ihara, Yasutaka; Matsumoto, Kohji On the value-distribution of \(\log L\) and \(L'/L\). (English) Zbl 1234.11110 Steuding, Rasa (ed.) et al., New directions in value-distribution theory of zeta and \(L\)-functions. Proceedings of the conference, Würzburg, Germany, October 6–10, 2008. Aachen: Shaker Verlag (ISBN 978-3-8322-8818-1/pbk). 85-97 (2009). MSC: 11M06 11M38 11G40 × Cite Format Result Cite Review PDF
Matsumoto, Kohji; Tsumura, Hirofumi Functional relations among certain double polylogarithms and their character analogues. (English) Zbl 1221.11186 Šiauliai Math. Semin. 3(11), 189-205 (2008). Reviewer: Olaf Ninnemann (Berlin) MSC: 11M32 11G55 33B30 × Cite Format Result Cite Review PDF
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Zeta and \(L\)-functions and Bernoulli polynomials of root systems. (English) Zbl 1147.11053 Proc. Japan Acad., Ser. A 84, No. 5, 57-62 (2008). MSC: 11M41 17B20 40B05 11G55 11B68 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ichihara, Yumiko; Matsumoto, Kohji On the Siegel-Tatuzawa theorem for a class of \(L\)-functions. (English) Zbl 1190.11046 Kyushu J. Math. 62, No. 1, 201-215 (2008). Reviewer: Jie Wu (Vandœuvre-lès-Nancy) MSC: 11M20 11F66 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji; Nakamura, Takashi; Tsumura, Hirofumi Functional relations and special values of Mordell-Tornheim triple zeta and \(L\)-functions. (English) Zbl 1213.11161 Proc. Am. Math. Soc. 136, No. 6, 2135-2145 (2008). MSC: 11M32 11M41 33E20 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji; Nakamura, Takashi; Tsumura, Hirofumi; Ochiai, Hiroyuki On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions. (English) Zbl 1143.11035 Acta Arith. 132, No. 2, 99-125 (2008). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11M41 40B05 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji; Tsumura, Hirofumi A new method of producing functional relations among multiple zeta-functions. (English) Zbl 1151.11045 Q. J. Math. 59, No. 1, 55-83 (2008). Reviewer: Gautami Bhowmik (Villeneuve d’Ascq) MSC: 11M32 11M41 40B05 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji On the speed of convergence to limit distributions for Dedekind zeta-functions of non-Galois number fields. (English) Zbl 1228.11168 Akiyama, Shigeki (ed.) et al., Probability and number theory – Kanazawa 2005. Proceedings of the international conference on probability and number theory, Kanazawa, Japan, June 20–24, 2005. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-43-3/hbk). Advanced Studies in Pure Mathematics 49, 199-218 (2007). MSC: 11R42 × Cite Format Result Cite Review PDF
Laurinčikas, A.; Matsumoto, K. Joint value distribution theorems on Lerch zeta-functions. III. (English) Zbl 1149.11042 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25–29, 2006. Vilnius: TEV (ISBN 978-9955-680-81-9/hbk). 87-98 (2007). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M35 × Cite Format Result Cite Review PDF
Akiyama, Shigeki (ed.); Matsumoto, Kohji (ed.); Murata, Leo (ed.); Sugita, Hiroshi (ed.) Probability and number theory – Kanazawa 2005. Proceedings of the international conference on probability and number theory, Kanazawa, Japan, June 20–24, 2005. (English) Zbl 1132.11001 Advanced Studies in Pure Mathematics 49. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-43-3/hbk). 558 p. (2007). MSC: 11-06 60-06 00B25 × Cite Format Result Cite Review PDF
Egami, Shigeki; Matsumoto, Kohji Convolutions of the von Mangoldt function and related Dirichlet series. (English) Zbl 1131.11057 Kanemitsu, S. (ed.) et al., Number theory. Sailing on the sea of number theory. Proceedings of the 4th China-Japan seminar on number theory, Weihai, China, August 30–September 3, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-810-6/hbk). Series on Number Theory and its Applications 2, 1-23 (2007). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11M41 × Cite Format Result Cite Review PDF Full Text: DOI Link
Komori, Y.; Matsumoto, K.; Tsumura, H. Zeta functions of root systems. (English) Zbl 1183.11055 Weng, Lin (ed.) et al., Papers of the conference on \(L\)-functions, Fukuoka, Japan, February 18–23, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-504-4/hbk). 115-140 (2007). MSC: 11M41 11G55 17B22 33C67 × Cite Format Result Cite Review PDF
Matsumoto, Kohji Analytic properties of multiple zeta-functions in several variables. (English) Zbl 1197.11120 Zhang, Wenpeng (ed.) et al., Number theory. Tradition and modernization. Papers from the 3rd China-Japan seminar on number theory, Xi’an, China, February 12–16, 2004. New York, NY: Springer (ISBN 978-0-387-30414-4/hbk). Developments in Mathematics 15, 153-173 (2006). MSC: 11M32 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Laurinčikas, A.; Matsumoto, K. Joint value-distribution theorems on Lerch zeta-functions. II. (English) Zbl 1187.11029 Lith. Math. J. 46, No. 3, 271-286 (2006) and Liet. Mat. Rink. 46, No. 3, 332-350 (2006). MSC: 11M35 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji On the speed of convergence to limit distributions for Hecke \(L\)-functions associated with ideal class characters. (English) Zbl 1141.11056 Analysis, München 26, No. 3, 313-321 (2006). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji An introduction to the value-distribution theory of zeta-functions. (English) Zbl 1126.11042 Šiauliai Math. Semin. 1(9), 61-83 (2006). Reviewer: Aleksandar Ivić (Beograd) MSC: 11M06 11M36 11M41 11-02 × Cite Format Result Cite Review PDF
Matsumoto, Kohji; Tsumura, Hirofumi On Witten multiple zeta-functions associated with semisimple Lie algebras. I. (English) Zbl 1168.11036 Ann. Inst. Fourier 56, No. 5, 1457-1504 (2006). MSC: 11M32 11M41 17B20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Matsumoto, Kohji; Tsumura, Hirofumi Generalized multiple Dirichlet series and generalized multiple polylogarithms. (English) Zbl 1159.11029 Acta Arith. 124, No. 2, 139-158 (2006). Reviewer: Renata Macaitiene (Vilnius) MSC: 11M41 11G55 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Kohji; Sankaranarayanan, A. On the mean square of standard \(L\)-functions attached to Ikeda lifts. (English) Zbl 1191.11016 Math. Z. 253, No. 3, 607-622 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11F66 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Laurinčikas, A.; Matsumoto, K.; Steuding, J. Discrete universality of \(L\)-functions for new forms. (English. Russian original) Zbl 1161.11381 Math. Notes 78, No. 4, 551-558 (2005); translation from Mat. Zametki 78, No. 4, 485-492 (2005). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11M41 × Cite Format Result Cite Review PDF Full Text: DOI