Takashi Taniguchi
Japanese version
What's New
Preprints
Papers
-
Periods modulo p of integer sequences associated with division polynomials of genus 2 curves,
(with Y. Ishitsuka,
T. Ito,
T. Ohshita,
and
Y. Uchida
),
New York J. Math.,
31 (2025),
568-588.
-
Improved error estimates for the Davenport-Heilbronn theorems,
Math. Ann.,
389 (2024),
3471-3512,
(with M. Bhargava and F. Thorne).
-
Uniform bounds for lattice point counting and partial sums of zeta functions,
Math. Z.,
300 (2022),
2571-2590,
(with David Lowry-Duda and F. Thorne).
- Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves,
J. Amer. Math. Soc.,
33 (2020),
1087-1099,
(with M. Bhargava,
A. Shankar,
F. Thorne,
J. Tsimerman,
and Y. Zhao
).
- The local-global property for bitangents of plane quartics,
JSIAM Letters,
12 (2020),
41-44,
(with Y. Ishitsuka,
T. Ito,
T. Ohshita,
and
Y. Uchida
),
arXiv:2002.10203.
- Levels of distribution for sieve problems in prehomogeneous vector spaces,
Math. Ann.,
376 (2020),
1537-1559,
(with F. Thorne).
- Orbital exponential sums for prehomogeneous vector spaces,
Amer. J. Math.
142-1(2020),
177-213,
(with F. Thorne).
-
Relations among Dirichlet series whose coefficients are
class numbers of binary cubic forms II,
Math. Res. Lett.,
21-2(2014),
363-378,
(with Y. Ohno).
-
An error estimate for counting S_3-sextic number fields,
Int. J. Number Theory,
10-4(2014),
935-948,
(with F. Thorne).
-
Orbital L-functions for the space of binary cubic forms,
Canad. J. Math.,
65-6(2013),
1320-1383
(with F. Thorne).
- Secondary terms in counting functions for cubic fields,
Duke Math. J.,
162-13(2013),
2451-2508,
(with F. Thorne).
- Introduction to higher composition laws (in Japanese, survey article),
RIMS Kôkyûroku Bessatsu B25(2011),
211-253.
- Relations among Dirichlet series whose coefficients are
class numbers of binary cubic forms,
Amer. J. Math.
131-6(2009),
1525-1541
(with Y. Ohno and S. Wakatsuki).
- On parameterizations of rational orbits of forms of some prehomogeneous vector spaces,
Manuscripta Math.
125-2(2008),
169-190.
-
A mean value theorem for the square of class number times regulator of quadratic extensions,
Ann. Inst. Fourier.
58-2(2008),
625-670.
-
On proportional constants of the mean value
of class numbers of quadratic extensions,
Trans. Amer. Math. Soc.,
359-11(2007),
5517-5524.
-
On the zeta functions of prehomogeneous vector spaces
for a pair of simple algebras,
Ann. Inst. Fourier.
57-4(2007),
1331-1358.
-
A mean value theorem for orders of
degree zero divisor class groups of quadratic extensions
over a function field,
J. Number Theory,
109-2(2004),
197-239.
Proceedings
Visitors
Talks
- Octobor 31, 2018,
Bounds on 2-torsion in class groups of number fields,
Analytic Number Theory and Related Topics,
at RIMS.
- December 13, 2017,
Uniformity in Landaufs method and applications,
Joetsu Number Theory Seminar,
at Joetsu University of Education.
- November 20, 2017,
Uniformity in Landaufs method and applications,
Arithmetic Geometry and Related Topics,
at Ehime University.
- June 16, 2017,
On the numbers of cubic and quartic fields with almost prime discriminants,
at Kyoto.
- June 9, 2017,
Variants of Ohno-Nakagawa's dual identity,
Kobe Number Theory Workshop 2017,
at Kobe University.
- February 20, 2017,
On the numbers of cubic and quartic fields with almost prime discriminants,
The 10th Young Mathematicians Conference on Zeta Functions,
at Nagoya University.
- 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 Seoul-Tokyo 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
Department of Mathematics,
Graduate School of Science,
Kobe University
email :
****@math.kobe-u.ac.jp
(Please replace **** to the first four letters of my family name.)