Yasutaka Ihara   (˸δ

Papers List
  1. On certain arithmetical Dirichlet series,
    J. Math. Soc. Japan 16 (1964), 214--225.

  2. Algebraic curves mod p and arithmetic groups,
    Proc. Symp. in pure Math. 9, Amer. Math. Soc. (1966), 265--271.

  3. Discrete subgroups of PL(2,kp)
    Proc. Symp. in pure Math. 9, Amer. Math. Soc. (1966), 272--278.

  4. On discrete subgroups of the two by two projective linear group over p -adic fields,
    J. Math. Soc. Japan 18 (1966), 219--235.

  5. Hecke polynomials as congruence -functions in elliptic modular case,
    Ann. of Math. 85 (1967), 267--297.

  6. The congruence monodromy problems,
    J. Math. Soc. Japan 20 (1968), 107--121.

  7. On congruence monodromy problems, I (1968), II (1969),
    Lecture Notes at Univ. of Tokyo; (Russian translation) Matematyka
    14-3 (pp.40--98), 14-4 (pp.48--77), 14-5 (pp.62--101) (1970).

  8. On congruence monodromy problems, Reproduction of [7], with Author's Notes (2008); MSJ Memoirs 18, Math. Soc. Japan (2008).

  9. An invariant multiple differential attached to the field of elliptic modular functions of characteristic p,
    Amer. J. Math. XCIII (1971), 139--147.

  10. Non-abelian classfields over function fields in special cases,
    Actes du congres international des mathematiciens, Tome 1, Nice, (1970), 381-389.

  11. On ( p)-adic coverings of curves,
    Proc. Internat. Conf. on Number theory, Moscow, Sept. 1971; Trudy Math. Inst. Steklov 132 (1973), 118--131.

  12. On modular curves over finite fields,
    Papers presented at the Internat. Colloquim on Discrete Subgroups and applications to the problem of Moduli;
    Bombay, Jan. 1973; Tata Inst. Fund. Studies, Oxford Univ. Press; 161--202.

  13. Schwarzian equations,
    J. Fac. Sci. Univ. of Tokyo IA 21 (1974), 97--118.

  14. On the differentials associated to congruence relations and the Schwarzian equations defining uniformizations,
    J. Fac. Sci. Univ. of Tokyo IA 21 (1974), 309--332.

  15. (with Hiroo Miki) Criteria related to potential unramifiedness and reduction of unramified coverings of curves,
    J. Fac. Sic. Univ. of Tokyo IA 22 (1974), 237--254.

  16. Some fundamental groups in the arithmetic of algebraic curves over finite fields,
    Proc. Nat. Acad. Sci. U.S.A. 72 (1975), 3281--3284.

  17. On the Frobenius correspondences of algebraic curves,
    Proc. Internat. Symp. on Alg. Number Theory, Kyoto (1976); 67--98, Japan Soc. of Promotion of Science.

  18. Congruence relations and Shimura curves I,
    Proc. Symp. in pure Math. 33 (Part 2), Amer. Math. Soc. (1979), 291--311.

  19. Congruence relations and Shimura curves II,
    J. Fac. Sci. Univ. Tokyo IA 25 (1979), 301--361.

  20. Lifting curves over finite fields together with the characteristic correspondence + ',
    J. Algebra 75 (1982), 452--483.

  21. Congruence relations and fundamental groups,
    J. Algebra 75 (1982), 445--451.

  22. Some remarks on the number of rational points of algebraic curves over finite fields,
    J. Fac. Sci. Univ. of Tokyo, IA 28 (1982), 721--724.

  23. On unramified extensions of function fields over finite fields,
    Adv. Studies in Pure Math. Vol.2 (1983), 89--97, Kinokuniya, North Holland.

  24. How many primes decompose compose completely in an infinite unramified Galois extensions of a global field?
    J. Math. Soc. Japan 35 (1983), 694--709.

  25. Profinite braid groups, Galois representations and complex multiplications,
    Ann. of Math. 123 (1986), 43--106.

  26. On Galois representations arising from towers of coverings of $\mathbb{P}1-{0,1,}$,
    Invent. Math. 86 (1986), 427--459.

  27. (with M. Kaneko and A. Yukinari) On some properties of the universal power series for Jacobi sums,
    Adv. Studies in Pure Math. Vol. 12 (1987), 65--86.

  28. Some problems on 3-point ramifications and associated large Galois representaitons,
    Adv. Studies in Pure Math. Vol. 12 (1987), 173--188.

  29. (with T. Ibukiyama) On automorphic forms on the unitary symplectic group Sp (n) and SL2(R),
    Math. Annalen 278 (1987), 307 -- 327.

  30. Arithmetic analogues of braid groups and Galois representations,
    Contemp. Math., 78 (1988), 245--257.

  31. (with G. Anderson) Pro-$\ell$ branched covering of ${\mathbb P}1$ and higher circular $\ell$-units,
    Ann. of Math., 128 (1988), 271--293.

  32. (with G. Anderson) ibid Part 2,
    International J. of Math. 1 (1990) 119-148.

  33. The Galois representation arising from ${\mathbb P}1-{0,1,}$ and Tate twists of even degree; in ``Galois groups over ${\mathbb Q}$'',
    MSRI Publ 16 (1989), 299--313, Spriger Verlag.

  34. What comes next after ${\mathbb Q}(\ell)$? in ``Algebraic Analysis, Geometry, and Number Theory,''
    Proc of the JAMI Inaugural Conference, (1989), 153--160, The Johns Hopkins Univ. Press.

  35. Automorphisms of pure sphere braid groups and Galois representations,
    The Grothendieck Festschrift II (1991) Birkhäuser, 353-373.

  36. Braids, Galois groups and some arithmetic functions,
    Proc. Int. Congress of Math, Kyoto 1990, Springer-Verlag, Tokyo (1991) vol.1, 99-120.

  37. (with M. Kaneko) Pro-$\ell$ pure braid groups of Riemann surfaces and Galois representations,
    Osaka J. Math. 29 (1992), 1--19.

  38. A remark on higher circular $\ell$-units,
    Proc. Japan Acad. 68 (1992) 25-27.

  39. On the stable derivation algebra associated to some braid groups,
    Israel J. Math. 80 (1992), 135--153.

  40. Horizontal divisors on arithmetic surfaces associated with Belyi uniformizations;
    in ``The Grothendieck theory of dessins d'enfants'' 245--254, London Math. Soc. LNS 200 (1994), Cambridge Univ. Press.

  41. On the embedding of $Gal (\bar{{\mathbb Q}}/{\mathbb Q})$ into $\widehat{GT}$; ibid, 289--306.

  42. (with Makoto Matsumoto) On Galois actions on profinite completions of braid groups;
    ``Recent developments in the inverse Galois problem'' (ed. M. Fried et al.), Contemp. Math. 186 (1995), 173--200, AMS.

  43. (with Hiroaki Nakamura) On deformation of maximally degenerate stable marked curves and Oda's problem;
    J. reine angew. math. 487 (1997), 125--151.

  44. (with Hiroaki Nakamura) Some illustrative examples for anabelian geometry in high dimensions;
    in ``Geometric Galois Actions'' 1 (ed. L. Schneps et al.) , 127--138, London Math. Soc. LNS 242 (1997), Cambridge Univ. Press.

  45. On beta and gamma functions associated with the Grothendieck-Teichmüller group;
    in ``Aspects of Galois theory'' (ed. H. Voelklein et al.), London Math. Soc. LNS 256(1999), 144-179, Cambridge Univ. Press.

  46. On beta and gamma functions associated with the Grothendieck-Teichmüller group, II;
    J. reine angew. Math., 527 (2000), 1-11.

  47. Shimura curves over finite fields and their rational points;
    in ``Applications of Curves over Finite Field'' (ed. M. Fried), Contemporary Math. 245 (1999), 15-23.

  48. Some arithmetic aspects of Galois actions on the pro-p fundamental group of ${\mathbb P}1-{0,1,}$;
    in ``Arithmetic fundamental groups and noncommutative algebra'', (ed. M. Fried, Y. Ihara)
    AMS Proc. Symposia in Pure Math. Vol 70 (2002), 247-274.

  49. On the Euler-Kronecker constants of global fields and primes with small norms;
    in: "Algebraic Geometry and Number Theory" In Honor of Vladimir Drinfeld's 50th Birthday (V. Ginzburg ed.)
    Progress in Mathematics 253 (2006), 407-451; Birkhäuser.

  50. The Euler-Kronecker invariants in various families of global fields;
    in "Arithmetic, Geometry and Coding Theory" (AGCT 2005), (F.Rodier and S.Vladut ed.),
    Séminaires et congrès 21(2010), 79-102, Soc. math. de France.
    [pdf file 2A]

  51. Some remarks on the BSG tower over finite cubic fields, Preprint 2006;
    in: (informal) Proceedings of the Workshop "Arithmetic Geometry, Related Area and Applications",
    21-th Century Chuo University COE Project, (N. Suwa ed.), Chuo University, 2007.
    [pdf file 3A]

  52. (with V. Kumar Murty and Mahoro Shimura) On the logarithmic derivatives of Dirichlet L-functions at s =1;
    Acta Arith. 137.3 (2009), 253-276.

  53. On "M-functions" closely related to the distribution of L'/L-values;
    Publ. RIMS, Kyoto Univ. 44 (2008), 893-954.
    [pdf file]
  54. ``Some density functions and their Fourier transforms arising from number theory''; in RIMS Kokyuroku 1590 (2008) ``Number Theory and Probability Theory'' (H. Sugita ed.), 28-42.
    [pdf file 6A]
  55. (with Kohji Matsumoto) ``On $L$-functions over function fields: Power-means of error-terms and distribution of $L'/L$-values''; in ``Algebraic Number Theory and Related Topics 2008'', RIMS Kokyuroku Bessatsu B19(2010), 221-247.
    [pdf file 7A]
  56. (with Kohji Matsumoto) ``On the value-distribution of $\log L$ and $L'/L''$; (A survey article) (2009); in: New directions in value-distribution theory of zeta and L-functions, Proc. Würzburg Conf. 2008, Shaker Verlag (2009), 85-97.
    [pdf file 8A]
  57. (with Kohji Matsumoto) ``On certain mean values and the value-distribution of logarithms of Dirichlet $L$-functions''; Quarterly J. Math. 62(2011), 637-677, doi:10.1093/qmath/haq002.
    [pdf file 9A]
  58. (with Kohji Matsumoto) ``On $\log L$ and $L'/L$ for $L$-functions and the associated ``$M$-functions'': Connections in optimal cases''; Moscow Math. J. 11(2011), 73-111.
    [pdf file 10A]
  59. ``On certain arithmetic functions $\tilde{M}$($s; z_{1}, z_{2}$) associated with global fields: analytic properties''; Publ. RIMS, 47(2011), 257-305.
    [pdf file 11A]
  60. (with Kohji Matsumoto) ``On the value-distribution of logarithmic derivatives of Dirichlet L-functions''; in: "Analytic number theory approximation theory, and special functions"; (ed. G.V. Milovanovic et al.) Springer (2013), 79-91.
    [pdf file 12A]
  61. An analytic function in 3 variables related to the value-distribution of log L, and the "Plancherel volume", in: "Functions in Number Theory and Their Probablistic Aspects" Kyoto (2010); ed. K. Matsumoto et al. RIMS Kôkyûroku Bessatsu B34(2012), 103-116.
  62. Comparison of some quotients of fundamental groups of algebraic curves over p-adic fields, Adv. Studies in Pure Math. 63 (2012), 221-249; Galois-Teichmüller Theory and Arithmetic Geometry.