Nakamura, Hiroaki; Shiraishi, Densuke Landen’s trilogarithm functional equation and \(\ell\)-adic Galois multiple polylogarithms. arXiv:2210.17182 Preprint, arXiv:2210.17182 [math.NT] (2022). MSC: 11G55 11F80 14H30 BibTeX Cite \textit{H. Nakamura} and \textit{D. Shiraishi}, ``Landen's trilogarithm functional equation and $\ell$-adic Galois multiple polylogarithms'', Preprint, arXiv:2210.17182 [math.NT] (2022) Full Text: arXiv OA License
Collas, Benjamin (ed.); Dèbes, Pierre (ed.); Nakamura, Hiroaki (ed.); Stix, Jakob (ed.) Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). (English) Zbl 1487.00035 Oberwolfach Rep. 18, No. 1, 663-744 (2021). MSC: 00B05 00B25 12-06 11-06 11F80 12F12 14G32 55Pxx 13B05 14H30 14F22 PDFBibTeX XMLCite \textit{B. Collas} (ed.) et al., Oberwolfach Rep. 18, No. 1, 663--744 (2021; Zbl 1487.00035) Full Text: DOI
Nakamura, Hiroaki; Wojtkowiak, Zdzisław On distribution formulas for complex and \(l\)-adic polylogarithms. (English) Zbl 1456.11121 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 593-619 (2020). MSC: 11G55 19F27 11R70 19D45 PDFBibTeX XMLCite \textit{H. Nakamura} and \textit{Z. Wojtkowiak}, Springer Proc. Math. Stat. 314, 593--619 (2020; Zbl 1456.11121) Full Text: DOI arXiv
Nakamura, Hiroaki; Wojtkowiak, Zdzisław On adelic Hurwitz zeta measures. (English) Zbl 1467.11110 J. Lond. Math. Soc., II. Ser. 101, No. 3, 938-959 (2020). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S40 11G55 11F80 11R23 14H30 PDFBibTeX XMLCite \textit{H. Nakamura} and \textit{Z. Wojtkowiak}, J. Lond. Math. Soc., II. Ser. 101, No. 3, 938--959 (2020; Zbl 1467.11110) Full Text: DOI arXiv
Nakamura, Hiroaki On arithmetic monodromy representations of Eisenstein type in fundamental groups of once punctured elliptic curves. (English) Zbl 1330.14048 Publ. Res. Inst. Math. Sci. 49, No. 3, 413-496 (2013). Reviewer: Aristides Kontogeorgis (Panepistimiopolis) MSC: 14H30 11G16 11F20 PDFBibTeX XMLCite \textit{H. Nakamura}, Publ. Res. Inst. Math. Sci. 49, No. 3, 413--496 (2013; Zbl 1330.14048) Full Text: DOI
Nakamura, Hiroaki Some congruence properties of Eisenstein invariants associated to elliptic curves. (English) Zbl 1329.11061 Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 813-832 (2012). MSC: 11G05 11F80 PDFBibTeX XMLCite \textit{H. Nakamura}, Adv. Stud. Pure Math. 63, 813--832 (2012; Zbl 1329.11061)
Nakamura, Hiroaki (ed.); Pop, Florian (ed.); Schneps, Leila (ed.); Tamagawa, Akio (ed.) Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. (English) Zbl 1257.00018 Advanced Studies in Pure Mathematics 63. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). 832 p. (2012). MSC: 00B25 11-06 14-06 17-06 20-06 55-06 11Exx 11Mxx 11F80 11Gxx 11Rxx 14Hxx 17Bxx 20F36 55P60 55S30 PDFBibTeX XMLCite \textit{H. Nakamura} (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25--30, 2010. Tokyo: Mathematical Society of Japan (2012; Zbl 1257.00018) Full Text: DOI
Nakamura, Hiroaki; Tsunogai, Hiroshi; Yasuda, Seidai Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. III. (English) Zbl 1203.14033 J. Inst. Math. Jussieu 9, No. 2, 431-448 (2010). MSC: 14H30 20E18 12E12 PDFBibTeX XMLCite \textit{H. Nakamura} et al., J. Inst. Math. Jussieu 9, No. 2, 431--448 (2010; Zbl 1203.14033) Full Text: DOI
Nakamura, Hiroaki; Tsunogai, Hiroshi Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. II. (English) Zbl 1130.14022 Kohno, Toshitake (ed.) et al., Primes and knots. Proceedings of an AMS special session, Baltimore, MD, USA, January 15–16, 2003 and the 15th JAMI (Japan-US Mathematics Institute) conference, Baltimore, MD, USA, March 7–16, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3456-8/pbk). Contemporary Mathematics 416, 197-211 (2006). MSC: 14G32 14H30 14E20 20E18 20F36 PDFBibTeX XMLCite \textit{H. Nakamura} and \textit{H. Tsunogai}, Contemp. Math. 416, 197--211 (2006; Zbl 1130.14022)
Nakamura, Hiroaki Some classical views on the parameters of the Grothendieck-Teichmüller group. (English) Zbl 1141.14010 Voelklein, Helmut (ed.) et al., Progress in Galois theory. Proceedings of John Thompson’s 70th birthday conference, Gainesville, FL, USA, November 4–8, 2002. New York, NY: Springer (ISBN 0-387-23533-7/hbk). Developments in Mathematics 12, 123-133 (2005). Reviewer: Andy R. Magid (Norman) MSC: 14G32 11R32 PDFBibTeX XMLCite \textit{H. Nakamura}, Dev. Math. 12, 123--133 (2005; Zbl 1141.14010)
Nakamura, Hiroaki; Tsunogai, Hiroshi Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. (English) Zbl 1054.14038 Forum Math. 15, No. 6, 877-892 (2003). Reviewer: Usha N. Bhosle (Mumbai) MSC: 14H30 11R58 11R32 20F16 PDFBibTeX XMLCite \textit{H. Nakamura} and \textit{H. Tsunogai}, Forum Math. 15, No. 6, 877--892 (2003; Zbl 1054.14038) Full Text: DOI
Nakamura, Hiroaki Limits of Galois representations in fundamental groups along maximal degeneration of marked curves. II. (English) Zbl 1162.14307 Fried, Michael D. (ed.) et al., Arithmetic fundamental groups and noncommutative algebra. Proceedings of the 1999 von Neumann conference, Berkeley, CA, USA, August 16–27, 1999. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2036-2/hbk). Proc. Symp. Pure Math. 70, 43-78 (2002). Reviewer: Tamás Szamuely (MR1935405) MSC: 14G32 14H30 PDFBibTeX XMLCite \textit{H. Nakamura}, Proc. Symp. Pure Math. 70, 43--78 (2002; Zbl 1162.14307)
Nakamura, Hiroaki Limits of Galois representations in fundamental groups along maximal degeneration of marked curves. I. (English) Zbl 1006.12001 Am. J. Math. 121, No. 2, 315-358 (1999). MSC: 12F10 14F35 14G32 PDFBibTeX XMLCite \textit{H. Nakamura}, Am. J. Math. 121, No. 2, 315--358 (1999; Zbl 1006.12001) Full Text: DOI Link
Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi The Grothendieck conjecture on the fundamental groups of algebraic curves. (English. Japanese original) Zbl 0943.14014 Sugaku Expo. 14, No. 1, 31-53 (2001); translation from Sūgaku 50, No. 2, 113-129 (1998). Reviewer: Noriko Yui (Kingston) MSC: 14H30 14H25 14F35 14G32 11G20 11G30 PDFBibTeX XML
Nakamura, Hiroaki; Takao, Naotake Galois rigidity of pro-\(l\) pure braid groups of algebraic curves. (English) Zbl 0927.14008 Trans. Am. Math. Soc. 350, No. 3, 1079-1102 (1998). Reviewer: M.Teicher (Ramat Gan) MSC: 14E20 20F36 12F10 20F34 PDFBibTeX XMLCite \textit{H. Nakamura} and \textit{N. Takao}, Trans. Am. Math. Soc. 350, No. 3, 1079--1102 (1998; Zbl 0927.14008) Full Text: DOI
Nakamura, Hiroaki Galois representations in the profinite Teichmüller modular groups. (English) Zbl 0911.14014 Schneps, Leila (ed.) et al., Geometric Galois actions. 1. Around Grothendieck’s “Esquisse d’un programme”. Proceedings of the conference on geometry and arithmetic of moduli spaces, Luminy, France, August 1995. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 242, 159-173 (1997). MSC: 14H30 11R32 14H45 14H10 14G32 PDFBibTeX XMLCite \textit{H. Nakamura}, Lond. Math. Soc. Lect. Note Ser. 242, 159--173 (1997; Zbl 0911.14014)
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila On a new version of the Grothendieck-Teichmüller group. (English. Abridged French version) Zbl 0904.20029 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 1, 11-16 (1997). Reviewer: J.Hebda (St.Louis) MSC: 20F38 14F35 20E18 57S25 57M25 20F28 PDFBibTeX XMLCite \textit{P. Lochak} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 1, 11--16 (1997; Zbl 0904.20029) Full Text: DOI
Ihara, Yasutaka; Nakamura, Hiroaki On deformation of maximally degenerate stable marked curves and Oda’s problem. (English) Zbl 0910.14010 J. Reine Angew. Math. 487, 125-151 (1997). Reviewer: N.Manolache (Bucureşti) MSC: 14H30 14E20 14F35 11R32 14D20 PDFBibTeX XMLCite \textit{Y. Ihara} and \textit{H. Nakamura}, J. Reine Angew. Math. 487, 125--151 (1997; Zbl 0910.14010) Full Text: Crelle EuDML
Nakamura, Hiroaki Galois rigidity of profinite fundamental groups. (English. Japanese original) Zbl 0889.12003 Sugaku Expo. 10, No. 2, 195-215 (1997); translation from Sugaku 47, No. 1, 1-17 (1995). MSC: 12F10 14H30 11R32 14H10 PDFBibTeX XML
Nakamura, Hiroaki On exterior Galois representations associated with open elliptic curves. (English) Zbl 0914.11035 J. Math. Sci., Tokyo 2, No. 1, 197-231 (1995). MSC: 11G05 14H30 11F80 11G16 PDFBibTeX XMLCite \textit{H. Nakamura}, J. Math. Sci., Tokyo 2, No. 1, 197--231 (1995; Zbl 0914.11035)
Nakamura, Hiroaki Galois rigidity of profinite fundamental groups. (Japanese) Zbl 0863.12004 Sugaku 47, No. 1, 1-17 (1995). Reviewer: A.Tamagawa (Kyoto) MSC: 12F10 14H30 11R32 14H10 PDFBibTeX XMLCite \textit{H. Nakamura}, Sūgaku 47, No. 1, 1--17 (1995; Zbl 0863.12004)
Nakamura, Hiroaki Galois rigidity of pure sphere braid groups and profinite calculus. (English) Zbl 0901.14012 J. Math. Sci., Tokyo 1, No. 1, 71-136 (1994). MSC: 14F35 20F36 12F12 20F34 14E20 11R32 20E18 PDFBibTeX XMLCite \textit{H. Nakamura}, J. Math. Sci., Tokyo 1, No. 1, 71--136 (1994; Zbl 0901.14012)
Nakamura, Hiroaki; Tsunogai, Hiroshi Some finiteness theorems on Galois centralizers in pro-\(l\) mapping class groups. (English) Zbl 0771.14006 J. Reine Angew. Math. 441, 115-144 (1993). Reviewer: H.Nakamura (Tokyo) MSC: 14H30 14H55 14H37 PDFBibTeX XMLCite \textit{H. Nakamura} and \textit{H. Tsunogai}, J. Reine Angew. Math. 441, 115--144 (1993; Zbl 0771.14006) Full Text: EuDML
Nakamura, Hiroaki On galois automorphisms of the fundamental group of the projective line minus three points. (English) Zbl 0702.14023 Math. Z. 206, No. 4, 617-622 (1991). Reviewer: H.Nakamura MSC: 14H30 11R32 14G25 14E20 PDFBibTeX XMLCite \textit{H. Nakamura}, Math. Z. 206, No. 4, 617--622 (1991; Zbl 0702.14023) Full Text: DOI EuDML
Nakamura, Hiroaki Centralizers of Galois representations in pro-\(\ell\) pure sphere braid groups. (English) Zbl 0756.14007 Proc. Japan Acad., Ser. A 67, No. 6, 208-210 (1991). Reviewer: A.N.Parshin (Moskva) MSC: 14H37 14F35 14D20 20F36 PDFBibTeX XMLCite \textit{H. Nakamura}, Proc. Japan Acad., Ser. A 67, No. 6, 208--210 (1991; Zbl 0756.14007) Full Text: DOI
Nakamura, Hiroaki Galois rigidity of the étale fundamental groups of punctured projective lines. (English) Zbl 0702.14024 J. Reine Angew. Math. 411, 205-210 (1990). Reviewer: H.Nakamura MSC: 14H30 14F45 PDFBibTeX XMLCite \textit{H. Nakamura}, J. Reine Angew. Math. 411, 205--210 (1990; Zbl 0702.14024) Full Text: DOI Crelle EuDML