## Yasutaka Ihara   (°Ë¸¶¹¯Î´¡Ë

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 ¦Æ-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 (¡ç ¡ß 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 $\mathbb{P}1-{0,1,¡ç}$,
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 ${\mathbb P}1-{0,1,¡ç}$ 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 ${\mathbb Q}(¦Ì\ell¡ç)$? 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 ${\mathbb P}1-{0,1,¡ç}$;
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]