Takashi Taniguchi
Japanese version
What's New

I'm organizing the Kobe Number Theory Workshop 2017
(June 79).
Preprints
 [PDF] (Jan, 2017)
Bounds on 2torsion in class groups of number fields and integral points on elliptic curves,
arXiv:1701.02458,
(with M. Bhargava,
A. Shankar,
F. Thorne,
J. Tsimerman,
and Y. Zhao
).
 [PDF] (Jul, 2016)
Orbital exponential sums for prehomogeneous vector spaces,
arXiv:1607.07827,
(with F. Thorne).
 [PDF] (Aug, 2006)
Distributions of discriminants of cubic algebras II,
math.NT/0608658.
 [PDF] (Mar, 2006)
Distributions of discriminants of cubic algebras,
math.NT/0606109.
Papers

Relations among Dirichlet series whose coefficients are
class numbers of binary cubic forms II,
Math. Res. Lett.,
212(2014),
363378,
(with Y. Ohno).

An error estimate for counting S_3sextic number fields,
Int. J. Number Theory,
104(2014),
935948,
(with F. Thorne).

Orbital Lfunctions for the space of binary cubic forms,
Canad. J. Math.,
656(2013),
13201383
(with F. Thorne).
 Secondary terms in counting functions for cubic fields,
Duke Math. J.,
16213(2013),
24512508,
(with F. Thorne).
 Introduction to higher composition laws (in Japanese, survey article),
RIMS Kôkyûroku Bessatsu B25(2011), 211254.
[pdf]
 Relations among Dirichlet series whose coefficients are
class numbers of binary cubic forms,
Amer. J. Math.
1316(2009),
15251541
(with Y. Ohno and S. Wakatsuki).
 On parameterizations of rational orbits of forms of some prehomogeneous vector spaces,
Manuscripta Math.
1252(2008),
169190.

A mean value theorem for the square of class number times regulator of quadratic extensions,
Ann. Inst. Fourier.
582(2008),
625670.

On proportional constants of the mean value
of class numbers of quadratic extensions,
Trans. Amer. Math. Soc.,
35911(2007),
55175524.

On the zeta functions of prehomogeneous vector spaces
for a pair of simple algebras,
Ann. Inst. Fourier.
574(2007),
13311358.

A mean value theorem for orders of
degree zero divisor class groups of quadratic extensions
over a function field,
J. Number Theory,
1092(2004),
197239.
Proceedings
Visitors
Talks
 July 25, 2016,
Orbital exponential sums for prehomogeneous vector spaces,
Whittaker Functions: Number Theory, Geometry and Physics,
at BIRS.
 June 17, 2016,
Exponential sums associated to prehomogeneous vector spaces,
2016 SeoulTokyo conference on Number Theory,
at KIAS.
 January 25, 2016,
Average rank of elliptic curves Introduction to the work of Manjul Bhargava,
Arithmetic and Algebraic Geometry 2016,
at University of Tokyo.
 November 9, 2015,
Exponential sums for prehomogeneous vector spaces,
Zeta Functions of Several Variables and Applications,
at Nagoya University.
 September 5, 2014,
Second order terms in some arithmetic functions,
Prehomogeneous Vector Spaces and Related Topics (2014),
at Rikkyo University.
 June 26, 2014,
The zeta functions attached to prehomogeneous vector spaces,
SMS2014  Counting Arithmetic Objects,
at CRM,
University of Montreal.
Workshops (co)organized
Workshops & programs I'm interested in
 January 17  May 26, 2017,
Analytic Number Theory (semester program),
at MSRI.
 May 1 5, 2017,
Recent developments in Analytic Number Theory,
at MSRI.
 February 6 10, 2017,
Introductory Workshop: Analytic Number Theory,
at MSRI.
 December 1215, 2016,
The 10th Conference on Arithmetic and Algebraic Geometry,
at University of Tokyo.
 November 28December 2, 2016,
Algebraic Number Theory and Related Topics,
at RIMS.
 November 2125, 2016,
Workshop on Shimura varieties, representation theory and related topics,
at Kyoto University.
 November 14, 2016,
2016 Fields Medal Symposium in honour of Manjul Bhargava,
at Fields Institute.
 July 2429, 2016,
Whittaker Functions: Number Theory, Geometry and Physics,
at BIRS.
 June 27July 1, 2016,
Arithmetic statistics and the CohenLenstra heuristics,
at Warwick.
 June 1617, 2016,
2016 SeoulTokyo conference on Number Theory,
at KIAS.
 April 48, 2016,
Explicit Methods in Number Theory:
Conference in Honour of Cremona's 60th Birthday,
at Warwick.
 February 26, 2015,
Modular forms and Automorphic Representations,
at RIMS.
 December 1519, 2014,
Analysis, Spectra, and Number Theory
at IAS.
 December 15, 2014.
Algebraic Number Theory and Related Topics 2014,
at RIMS.
 September 15, 2014,
Prehomogeneous Vector Spaces and Related Topics (2014),
at Rikkyo University.
 June 23July 4, 2014,
SMS2014  Counting Arithmetic Objects,
at CRM,
University of Montreal.
 Nobember 57, 2013,
Analytic Number Theory  Arithmetic Properties of Transcendental Functions and their Applications, at RIMS.
 October 1318, 2013.
Whittaker Functions: Number Theory, Geometry and Physics,
at BIRS, Banff.
 Augest 2630, 2013.
Analysis, Geometry and Group Representations for Homogeneous Spaces,
at Nagoya University.
 April 1519, 2013.
Combinatorics, Multiple Dirichlet series and Analytic Number Theory
,
at ICERM, Providence.
 October 57, 2012.
workshop
at Kyoto University.
 September 2428, 2012.
Zeta Function 2012,
at Tokyo Institute of Technology (TITECH).
 July 1822, 2012.
Workshop on the arithmetic geometry of Shimura varieties, representation theory, and related topics,
at Hokkaido University, Sapporo.
 July 1723, 2011.
Explicit methods in number theory,
at MFO, Oberwolfach.
 June 1317, 2011.
The CohenLenstra heuristics for class groups,
at AIM, Palo Alto, California.
 March 2125,2011.
Workshop on Galois Representations and Automorphic Forms,
at IAS, Princeton.
 Jan 31Feb 4, 2011.
Introductory Workshop: Arithmetic Statistics at MSRI, Berkeley.

June 25, 2010.
Number Theory and Representation Theory,
at Harvard University.

May 37, 2010.
Second international workshop on zeta functions in algebra and geometry,
in Spain.
Department of Mathematics,
Graduate School of Science,
Kobe University
email :
****@math.kobeu.ac.jp
(Please replace **** to the first four letters of my family name.)