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## Taniguchi, Takashi

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 Author ID: taniguchi.takashi.1 Published as: Taniguchi, Takashi; Taniguchi, T. External Links: MGP
 Documents Indexed: 16 Publications since 2004
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#### Co-Authors

 6 single-authored 6 Thorne, Frank 2 Ohno, Yasuo 1 Bhargava, Manjul 1 Hampel, Uwe 1 Ishitsuka, Yasuhiro 1 Ito, Tetsushi 1 Lecrivain, Gregory 1 Ohshita, Tatsuya 1 Pacheco Grein, Taisa Beatriz 1 Tsimerman, Jacob 1 Uchida, Yukihiro 1 Wakatsuki, Satoshi 1 Yamamoto, Ryoichi
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#### Serials

 2 American Journal of Mathematics 2 Annales de l’Institut Fourier 1 Journal of Computational Physics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Mathematical Research Letters 1 International Journal of Number Theory 1 RIMS Kôkyûroku Bessatsu 1 JSIAM Letters

#### Fields

 15 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 60 times in 44 Documents Cited by Year
Secondary terms in counting functions for cubic fields. Zbl 1294.11192
Taniguchi, Takashi; Thorne, Frank
2013
Orbital $$L$$-functions for the space of binary cubic forms. Zbl 1370.11107
Taniguchi, Takashi; Thorne, Frank
2013
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101
Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y.
2020
On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras. Zbl 1173.11050
Taniguchi, Takashi
2007
Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms. Zbl 1250.11038
Ohno, Yasuo; Taniguchi, Takashi; Wakatsuki, Satoshi
2009
A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field. Zbl 1063.11043
Taniguchi, Takashi
2004
A mean value theorem for the square of class number times regulator of quadratic extensions. Zbl 1231.11111
Taniguchi, Takashi
2008
Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms. II. Zbl 1318.11053
Ohno, Yasuo; Taniguchi, Takashi
2014
On proportional constants of the mean value of class numbers of quadratic extensions. Zbl 1134.11041
Taniguchi, Takashi
2007
On parameterizations of rational orbits of some forms of prehomogeneous vector spaces. Zbl 1144.11080
Taniguchi, Takashi
2008
Eulerian/Lagrangian formulation for the elasto-capillary deformation of a flexible fibre. Zbl 1435.76024
Lecrivain, Gregory; Pacheco Grein, Taisa Beatriz; Yamamoto, Ryoichi; Hampel, Uwe; Taniguchi, Takashi
2020
An error estimate for counting $$S_{3}$$-sextic number fields. Zbl 1300.11107
Taniguchi, Takashi; Thorne, Frank
2014
Orbital exponential sums for prehomogeneous vector spaces. Zbl 07176033
Taniguchi, Takashi; Thorne, Frank
2020
Levels of distribution for sieve problems in prehomogeneous vector spaces. Zbl 1455.11161
Taniguchi, Takashi; Thorne, Frank
2020
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101
Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y.
2020
Eulerian/Lagrangian formulation for the elasto-capillary deformation of a flexible fibre. Zbl 1435.76024
Lecrivain, Gregory; Pacheco Grein, Taisa Beatriz; Yamamoto, Ryoichi; Hampel, Uwe; Taniguchi, Takashi
2020
Orbital exponential sums for prehomogeneous vector spaces. Zbl 07176033
Taniguchi, Takashi; Thorne, Frank
2020
Levels of distribution for sieve problems in prehomogeneous vector spaces. Zbl 1455.11161
Taniguchi, Takashi; Thorne, Frank
2020
Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms. II. Zbl 1318.11053
Ohno, Yasuo; Taniguchi, Takashi
2014
An error estimate for counting $$S_{3}$$-sextic number fields. Zbl 1300.11107
Taniguchi, Takashi; Thorne, Frank
2014
Secondary terms in counting functions for cubic fields. Zbl 1294.11192
Taniguchi, Takashi; Thorne, Frank
2013
Orbital $$L$$-functions for the space of binary cubic forms. Zbl 1370.11107
Taniguchi, Takashi; Thorne, Frank
2013
Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms. Zbl 1250.11038
Ohno, Yasuo; Taniguchi, Takashi; Wakatsuki, Satoshi
2009
A mean value theorem for the square of class number times regulator of quadratic extensions. Zbl 1231.11111
Taniguchi, Takashi
2008
On parameterizations of rational orbits of some forms of prehomogeneous vector spaces. Zbl 1144.11080
Taniguchi, Takashi
2008
On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras. Zbl 1173.11050
Taniguchi, Takashi
2007
On proportional constants of the mean value of class numbers of quadratic extensions. Zbl 1134.11041
Taniguchi, Takashi
2007
A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field. Zbl 1063.11043
Taniguchi, Takashi
2004
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#### Cited by 42 Authors

 7 Taniguchi, Takashi 6 Kim, Henry H. 6 Thorne, Frank 5 Cho, Peter Jaehyun 3 Shankar, Arul 3 Wood, Melanie Matchett 2 Bhargava, Manjul 2 Ho, Wei 2 Hough, Bob 2 Hough, Robert D. 2 Pierce, Lillian B. 2 Wang, Jiuya 1 Cohen, Henri 1 Ellenberg, Jordan S. 1 Frei, Christopher 1 Gao, Xia 1 Heath-Brown, Roger 1 Jacobson, Michael John jun. 1 Kadets, Borys 1 Kato, Ryo 1 Kumar, Abhinav 1 Kurlberg, Pär 1 Lee, Yoonjin 1 Lemke Oliver, Robert J. 1 Lewis, Codie 1 Matz, Jasmin 1 O’Dorney, Evan M. 1 Osborne, Charles A. 1 Pollak, Benjamin 1 Rubinstein-Salzedo, Simon 1 Scheidler, Renate 1 Shankar, Ananth N. 1 Södergren, Anders 1 Templier, Nicolas 1 Tsang, Cindy 1 Tsimerman, Jacob 1 Wang, Xiaoheng 1 Widmer, Martin 1 Williams, Cassandra 1 Williams, Hugh Cowie 1 Xiao, Stanley Yao 1 Yukie, Akihiko
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#### Cited in 24 Serials

 7 Journal of Number Theory 4 Proceedings of the American Mathematical Society 4 International Journal of Number Theory 3 Compositio Mathematica 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Forum of Mathematics, Sigma 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Algebra & Number Theory 1 Involve 1 Research in the Mathematical Sciences 1 Research in Number Theory

#### Cited in 5 Fields

 44 Number theory (11-XX) 3 Algebraic geometry (14-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX)