Yasutaka Ihara (°Ë¸¶¹¯Î´¡Ë
Papers List
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On certain arithmetical Dirichlet series,
J. Math. Soc. Japan 16 (1964), 214--225. -
Algebraic curves mod p and arithmetic groups,
Proc. Symp. in pure Math. 9, Amer. Math. Soc. (1966), 265--271. -
Discrete subgroups of PL(2,kp)
Proc. Symp. in pure Math. 9, Amer. Math. Soc. (1966), 272--278. -
On discrete subgroups of the two by two projective linear group
over p -adic fields,
J. Math. Soc. Japan 18 (1966), 219--235. -
Hecke polynomials as congruence ¦Æ-functions in elliptic modular case,
Ann. of Math. 85 (1967), 267--297. -
The congruence monodromy problems,
J. Math. Soc. Japan 20 (1968), 107--121. -
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). -
On congruence monodromy problems,
Reproduction of [7], with Author's Notes (2008);
MSJ Memoirs 18, Math. Soc. Japan (2008).
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An invariant multiple differential attached to the field of elliptic
modular functions of characteristic p,
Amer. J. Math. XCIII (1971), 139--147. -
Non-abelian classfields over function fields in special cases,
Actes du congres international des mathematiciens, Tome 1, Nice, (1970), 381-389. -
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. -
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. -
Schwarzian equations,
J. Fac. Sci. Univ. of Tokyo IA 21 (1974), 97--118. -
On the differentials associated to congruence relations and the
Schwarzian equations defining uniformizations,
J. Fac. Sci. Univ. of Tokyo IA 21 (1974), 309--332. -
(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. -
Some fundamental groups in the arithmetic of
algebraic curves over finite fields,
Proc. Nat. Acad. Sci. U.S.A. 72 (1975), 3281--3284. -
On the Frobenius correspondences of algebraic curves,
Proc. Internat. Symp. on Alg. Number Theory, Kyoto (1976); 67--98, Japan Soc. of Promotion of Science. -
Congruence relations and Shimura curves I,
Proc. Symp. in pure Math. 33 (Part 2), Amer. Math. Soc. (1979), 291--311. -
Congruence relations and Shimura curves II,
J. Fac. Sci. Univ. Tokyo IA 25 (1979), 301--361. -
Lifting curves over finite fields together with the
characteristic correspondence ¦° + ¦°',
J. Algebra 75 (1982), 452--483. -
Congruence relations and fundamental groups,
J. Algebra 75 (1982), 445--451. -
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. -
On unramified extensions of function fields over finite fields,
Adv. Studies in Pure Math. Vol.2 (1983), 89--97, Kinokuniya, North Holland. -
How many primes decompose completely in an infinite
unramified Galois extensions of a global field?
J. Math. Soc. Japan 35 (1983), 694--709. -
Profinite braid groups, Galois representations and complex
multiplications,
Ann. of Math. 123 (1986), 43--106. -
On Galois representations arising from towers of coverings of
${\mathbb P}1-{0,1,¡ç}$,
Invent. Math. 86 (1986), 427--459. -
(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. -
Some problems on 3-point ramifications and associated large
Galois representaitons,
Adv. Studies in Pure Math. Vol. 12 (1987), 173--188. -
(with T. Ibukiyama) On automorphic forms on the unitary symplectic group
Sp (n) and SL2(R),
Math. Annalen 278 (1987), 307 -- 327. -
Arithmetic analogues of braid groups and Galois representations,
Contemp. Math., 78 (1988), 245--257. -
(with G. Anderson)
Pro-$\ell$ branched covering of ${\mathbb P}1$
and higher circular $\ell$-units,
Ann. of Math., 128 (1988), 271--293. -
(with G. Anderson)
ibid Part 2,
International J. of Math. 1 (1990) 119-148. -
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. -
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. -
Automorphisms of pure sphere braid groups and
Galois representations,
The Grothendieck Festschrift II (1991) Birkhäuser, 353-373. -
Braids, Galois groups and some arithmetic functions,
Proc. Int. Congress of Math, Kyoto 1990, Springer-Verlag, Tokyo (1991) vol.1, 99-120. -
(with M. Kaneko) Pro-$\ell$ pure braid groups of
Riemann surfaces and Galois representations,
Osaka J. Math. 29 (1992), 1--19. -
A remark on higher circular $\ell$-units,
Proc. Japan Acad. 68 (1992) 25-27. -
On the stable derivation algebra associated to
some braid groups,
Israel J. Math. 80 (1992), 135--153. -
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. -
On the embedding of $Gal (\bar{{\mathbb Q}}/{\mathbb Q})$
into $\widehat{GT}$;
ibid, 289--306.
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(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. -
(with Hiroaki Nakamura)
On deformation of maximally degenerate stable marked
curves and Oda's problem;
J. reine angew. math. 487 (1997), 125--151. -
(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. -
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. -
On beta and gamma functions associated with the
Grothendieck-Teichmüller group, II;
J. reine angew. Math., 527 (2000), 1-11. -
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. -
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. -
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. -
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] -
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] -
(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. -
On "M-functions" closely related to the distribution of L'/L-values;
Publ. RIMS, Kyoto Univ. 44 (2008), 893-954.
[pdf file] -
``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] -
(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] -
(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] -
(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] -
(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] -
``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] -
(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] - 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.
- 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.