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Hashimoto, Ki-ichiro

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Author ID: hashimoto.ki-ichiro Recent zbMATH articles by "Hashimoto, Ki-ichiro"
Published as: Hashimoto, K.; Hashimoto, Ki-Ichiro; Hashimoto, Ki-ichiro; Hashimoto, Kiichiro
External Links: MGP
Documents Indexed: 58 Publications since 1977, including 9 Books

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 311 times in 201 Documents Cited by Year
On zeta and L-functions of finite graphs. Zbl 0734.14008
Hashimoto, Ki-ichiro
32
1990
Zeta functions of finite graphs and representations of \(p\)-adic groups. Zbl 0709.22005
Hashimoto, Ki-ichiro
28
1989
Artin type \(L\)-functions and the density theorem for prime cycles on finite graphs. Zbl 0767.11026
Hashimoto, Ki-ichiro
25
1992
On class numbers of positive definite binary quaternion Hermitian forms. Zbl 0452.10029
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
23
1980
Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two. Zbl 0838.11044
Hashimoto, Ki-Ichiro; Murabayashi, Naoki
22
1995
On Brandt matrices associated with the positive definite quaternion hermitian forms. Zbl 0433.10017
Hashimoto, Ki-ichiro
16
1980
The dimension of the spaces of cusp forms on Siegel upper half plane of degree two. I. Zbl 0528.10019
Hashimoto, Ki-ichiro
14
1983
Inverse Galois problem for dihedral groups. Zbl 0965.12004
Hashimoto, Ki-ichiro; Miyake, Katsuya
10
1999
On class numbers of positive definite binary quaternion Hermitian forms. II. Zbl 0493.10030
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
10
1981
Generic polynomials over \(\mathbb Q\) with two parameters for the transitive groups of degree five. Zbl 1047.12002
Hashimoto, Ki-ichiro; Tsunogai, Hiroshi
8
2003
On Brumer’s family of RM-curves of genus two. Zbl 0993.11031
Hashimoto, Ki-ichiro
8
2000
Hyperelliptic modular curves \(X^*_ 0(N)\) with square-free levels. Zbl 0886.11023
Hasegawa, Yuji; Hashimoto, Ki-ichiro
8
1996
Class numbers of positive definite ternary quaternion Hermitian forms. Zbl 0539.10020
Hashimoto, Ki-ichiro
8
1983
Noether’s problem and \(\mathbb Q\)-generic polynomials for the normalizer of the 8-cycle in \(S_8\) and its subgroups. Zbl 1183.11069
Hashimoto, Ki-ichiro; Hoshi, Akinari; Rikuna, Yuichi
7
2008
Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations. Zbl 1082.11069
Hashimoto, Ki-ichiro; Hoshi, Akinari
7
2005
Modularity conjecture for \(\mathbf Q\)-curves and QM-curves. Zbl 1110.11302
Hasegawa, Yuji; Hashimoto, Ki-Ichiro; Momose, Fumiyuki
6
1999
Explicit form of quaternion modular embeddings. Zbl 0851.11034
Hashimoto, Ki-ichiro
6
1995
Selberg-Ihara’s zeta function for \(p\)-adic discrete groups. Zbl 0709.22004
Hashimoto, Ki-ichiro; Hori, Akira
6
1989
Class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields. Zbl 0668.10029
Hashimoto, Ki-ichiro; Koseki, Harutaka
6
1989
Geometric generalization of Gaussian period relations with application in Noether’s problem for meta-cyclic groups. Zbl 1081.12002
Hashimoto, Ki-ichiro; Hoshi, Akinari
5
2005
On relations of dimensions of automorphic forms of \(\mathrm{Sp}(2,\mathbb{R})\) and its compact twist \(\mathrm{Sp}(2)\). II. Zbl 0609.10019
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
5
1985
The dimension of the spaces of cusp forms on Siegel upper half plane of degree two. II: The \(\mathbb Q\)-rank one case. Zbl 0528.10020
Hashimoto, Ki-ichiro
5
1984
Class numbers of positive definite binary and ternary unimodular Hermitian forms. Zbl 0668.10030
Hashimoto, Ki-ichiro; Koseki, Harutaka
4
1989
General form of Humbert’s modular equation for curves with real multiplication of \(\Delta =5\). Zbl 1245.11073
Hashimoto, Kiichiro; Sakai, Yukiko
3
2009
On type numbers of split orders of definite quaternion algebras. Zbl 0851.11065
Hasegawa, Yuji; Hashimoto, Ki-ichiro
3
1995
Automorphic forms and geometry of arithmetic varieties. Zbl 0688.00008
Hashimoto, K. (ed.); Namikawa, Y. (ed.)
3
1989
Class numbers of positive definite binary and ternary unimodular Hermitian forms. Zbl 0609.10013
Hashimoto, Ki-ichiro; Koseki, Harutaka
3
1986
Elliptic conjugacy classes of the Siegel modular group and unimodular Hermitian forms over the ring of cyclotomic integers. Zbl 0602.10017
Hashimoto, Ki-ichiro
3
1986
Involutive modular transformations on the Siegel upper half plane and an application to representations of quadratic forms. Zbl 0585.10017
Hashimoto, Ki-ichiro; Sibner, Robert J.
3
1986
On a versal family of curves of genus two with \(\sqrt 2\)-multiplication. Zbl 1234.11079
Hashimoto, Kiichiro; Sakai, Yukiko
2
2009
Proceedings of the symposium on algebraic number theory and related topics, RIMS, Kyoto, Japan, December 11–15, 2006. Zbl 1151.11302
Hashimoto, Kiichiro (ed.)
2
2007
On generic families of cyclic polynomials with even degree. Zbl 1005.12002
Hashimoto, Ki-ichiro; Rikuna, Yūichi
2
2002
On the Sato-Tate conjecture for QM-curves of genus two. Zbl 1016.11025
Hashimoto, Ki-ichiro; Tsunogai, Hiroshi
2
1999
\(\mathbb{Q}\)-curves of degree 5 and Jacobian surfaces of \(GL_2\)-type. Zbl 0937.11023
Hashimoto, Ki-ichiro
2
1999
A formula for the number of semi-simple conjugacy classes in the arithmetic subgroups. Zbl 0577.10023
Hashimoto, Ki-ichiro
2
1985
On certain elliptic conjugacy classes of the Siegel modular group. Zbl 0572.10020
Hashimoto, Ki-ichiro
2
1985
On class numbers of positive definite binary quaternion Hermitian forms. III. Zbl 0533.10019
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
2
1983
Noether’s problem for transitive permutation groups of degree 6. Zbl 1325.12008
Hashimoto, Kiichiro; Tsunogai, Hiroshi
1
2012
Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). Zbl 1296.11103
Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan
1
2012
Base change of simple algebras and the symmetric maximal orders of quaternion algebras. Zbl 0698.12008
Hashimoto, Ki-ichiro
1
1989
On class numbers of positive definite binary and ternary unimodular Hermitian forms. II. Zbl 0617.10018
Hashimoto, Ki-ichiro; Koseki, Harutaka
1
1987
On class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields. Zbl 0617.10016
Hashimoto, Ki-ichiro; Koseki, Harutaka
1
1987
Representations of the finite symplectic group \(Sp(4,{\mathbb{F}}_ p)\) in the spaces of Siegel modular forms. Zbl 0592.10024
Hashimoto, Ki-ichiro
1
1986
Some examples of integral definite quaternary quadratic forms with prime discriminant. Zbl 0402.10021
Hashimoto, Ki-ichiro
1
1980
Twisted trace formula of the Brandt matrix. Zbl 0443.10024
Hashimoto, Ki-ichiro
1
1977
Noether’s problem for transitive permutation groups of degree 6. Zbl 1325.12008
Hashimoto, Kiichiro; Tsunogai, Hiroshi
1
2012
Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). Zbl 1296.11103
Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan
1
2012
General form of Humbert’s modular equation for curves with real multiplication of \(\Delta =5\). Zbl 1245.11073
Hashimoto, Kiichiro; Sakai, Yukiko
3
2009
On a versal family of curves of genus two with \(\sqrt 2\)-multiplication. Zbl 1234.11079
Hashimoto, Kiichiro; Sakai, Yukiko
2
2009
Noether’s problem and \(\mathbb Q\)-generic polynomials for the normalizer of the 8-cycle in \(S_8\) and its subgroups. Zbl 1183.11069
Hashimoto, Ki-ichiro; Hoshi, Akinari; Rikuna, Yuichi
7
2008
Proceedings of the symposium on algebraic number theory and related topics, RIMS, Kyoto, Japan, December 11–15, 2006. Zbl 1151.11302
Hashimoto, Kiichiro (ed.)
2
2007
Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations. Zbl 1082.11069
Hashimoto, Ki-ichiro; Hoshi, Akinari
7
2005
Geometric generalization of Gaussian period relations with application in Noether’s problem for meta-cyclic groups. Zbl 1081.12002
Hashimoto, Ki-ichiro; Hoshi, Akinari
5
2005
Generic polynomials over \(\mathbb Q\) with two parameters for the transitive groups of degree five. Zbl 1047.12002
Hashimoto, Ki-ichiro; Tsunogai, Hiroshi
8
2003
On generic families of cyclic polynomials with even degree. Zbl 1005.12002
Hashimoto, Ki-ichiro; Rikuna, Yūichi
2
2002
On Brumer’s family of RM-curves of genus two. Zbl 0993.11031
Hashimoto, Ki-ichiro
8
2000
Inverse Galois problem for dihedral groups. Zbl 0965.12004
Hashimoto, Ki-ichiro; Miyake, Katsuya
10
1999
Modularity conjecture for \(\mathbf Q\)-curves and QM-curves. Zbl 1110.11302
Hasegawa, Yuji; Hashimoto, Ki-Ichiro; Momose, Fumiyuki
6
1999
On the Sato-Tate conjecture for QM-curves of genus two. Zbl 1016.11025
Hashimoto, Ki-ichiro; Tsunogai, Hiroshi
2
1999
\(\mathbb{Q}\)-curves of degree 5 and Jacobian surfaces of \(GL_2\)-type. Zbl 0937.11023
Hashimoto, Ki-ichiro
2
1999
Hyperelliptic modular curves \(X^*_ 0(N)\) with square-free levels. Zbl 0886.11023
Hasegawa, Yuji; Hashimoto, Ki-ichiro
8
1996
Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two. Zbl 0838.11044
Hashimoto, Ki-Ichiro; Murabayashi, Naoki
22
1995
Explicit form of quaternion modular embeddings. Zbl 0851.11034
Hashimoto, Ki-ichiro
6
1995
On type numbers of split orders of definite quaternion algebras. Zbl 0851.11065
Hasegawa, Yuji; Hashimoto, Ki-ichiro
3
1995
Artin type \(L\)-functions and the density theorem for prime cycles on finite graphs. Zbl 0767.11026
Hashimoto, Ki-ichiro
25
1992
On zeta and L-functions of finite graphs. Zbl 0734.14008
Hashimoto, Ki-ichiro
32
1990
Zeta functions of finite graphs and representations of \(p\)-adic groups. Zbl 0709.22005
Hashimoto, Ki-ichiro
28
1989
Selberg-Ihara’s zeta function for \(p\)-adic discrete groups. Zbl 0709.22004
Hashimoto, Ki-ichiro; Hori, Akira
6
1989
Class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields. Zbl 0668.10029
Hashimoto, Ki-ichiro; Koseki, Harutaka
6
1989
Class numbers of positive definite binary and ternary unimodular Hermitian forms. Zbl 0668.10030
Hashimoto, Ki-ichiro; Koseki, Harutaka
4
1989
Automorphic forms and geometry of arithmetic varieties. Zbl 0688.00008
Hashimoto, K. (ed.); Namikawa, Y. (ed.)
3
1989
Base change of simple algebras and the symmetric maximal orders of quaternion algebras. Zbl 0698.12008
Hashimoto, Ki-ichiro
1
1989
On class numbers of positive definite binary and ternary unimodular Hermitian forms. II. Zbl 0617.10018
Hashimoto, Ki-ichiro; Koseki, Harutaka
1
1987
On class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields. Zbl 0617.10016
Hashimoto, Ki-ichiro; Koseki, Harutaka
1
1987
Class numbers of positive definite binary and ternary unimodular Hermitian forms. Zbl 0609.10013
Hashimoto, Ki-ichiro; Koseki, Harutaka
3
1986
Elliptic conjugacy classes of the Siegel modular group and unimodular Hermitian forms over the ring of cyclotomic integers. Zbl 0602.10017
Hashimoto, Ki-ichiro
3
1986
Involutive modular transformations on the Siegel upper half plane and an application to representations of quadratic forms. Zbl 0585.10017
Hashimoto, Ki-ichiro; Sibner, Robert J.
3
1986
Representations of the finite symplectic group \(Sp(4,{\mathbb{F}}_ p)\) in the spaces of Siegel modular forms. Zbl 0592.10024
Hashimoto, Ki-ichiro
1
1986
On relations of dimensions of automorphic forms of \(\mathrm{Sp}(2,\mathbb{R})\) and its compact twist \(\mathrm{Sp}(2)\). II. Zbl 0609.10019
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
5
1985
A formula for the number of semi-simple conjugacy classes in the arithmetic subgroups. Zbl 0577.10023
Hashimoto, Ki-ichiro
2
1985
On certain elliptic conjugacy classes of the Siegel modular group. Zbl 0572.10020
Hashimoto, Ki-ichiro
2
1985
The dimension of the spaces of cusp forms on Siegel upper half plane of degree two. II: The \(\mathbb Q\)-rank one case. Zbl 0528.10020
Hashimoto, Ki-ichiro
5
1984
The dimension of the spaces of cusp forms on Siegel upper half plane of degree two. I. Zbl 0528.10019
Hashimoto, Ki-ichiro
14
1983
Class numbers of positive definite ternary quaternion Hermitian forms. Zbl 0539.10020
Hashimoto, Ki-ichiro
8
1983
On class numbers of positive definite binary quaternion Hermitian forms. III. Zbl 0533.10019
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
2
1983
On class numbers of positive definite binary quaternion Hermitian forms. II. Zbl 0493.10030
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
10
1981
On class numbers of positive definite binary quaternion Hermitian forms. Zbl 0452.10029
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
23
1980
On Brandt matrices associated with the positive definite quaternion hermitian forms. Zbl 0433.10017
Hashimoto, Ki-ichiro
16
1980
Some examples of integral definite quaternary quadratic forms with prime discriminant. Zbl 0402.10021
Hashimoto, Ki-ichiro
1
1980
Twisted trace formula of the Brandt matrix. Zbl 0443.10024
Hashimoto, Ki-ichiro
1
1977
all top 5

Cited by 189 Authors

23 Sato, Iwao
17 Hashimoto, Ki-ichiro
12 Hoshi, Akinari
11 Ibukiyama, Tomoyoshi
8 Mizuno, Hirobumi
6 Deitmar, Anton
6 Hasegawa, Yuji
5 Kang, Ming-Hsuan
5 Kitayama, Hidetaka
5 Mitsuhashi, Hideo
4 Morita, Hideaki
4 Wakatsuki, Satoshi
3 Hentschel, Michael
3 Katsura, Toshiyuki
3 Kida, Masanari
3 Konno, Norio
3 Koseki, Harutaka
3 Krieg, Aloys
3 Murabayashi, Naoki
3 Nagano, Atsuhira
3 Nebe, Gabriele
3 Rikuna, Yuichi
3 Shaska, Tanush
3 Yu, Chia-Fu
2 Bars Cortina, Francesc
2 Clair, Bryan
2 González-Jiménez, Enrique
2 González, Josep R.
2 Guido, Daniele
2 Hashemi, Seyed Naser
2 Hoffman, Jerome William
2 Howe, Everett W.
2 Hunt, Bruce
2 Isola, Tommaso
2 Kang, Ming-Chang
2 Komatsu, Toru
2 Kudo, Momonari
2 Kumar, Abhinav
2 Kwak, Jin Ho
2 Lapidus, Michel L.
2 Li, Wen-Ch’ing Winnie
2 Martin, Kimball
2 Matsutani, Shigeki
2 Miyake, Katsuya
2 Mokhtari-Sharghi, Shahriar
2 Nagoshi, Hirofumi
2 Oort, Frans
2 Poor, Cris
2 Rotger, Victor
2 Saito, Seiken
2 Shiga, Hironori
2 Shimura, Mahoro
2 Storm, Christopher K.
2 Tahaei, Maedeh S.
2 Terras, Audrey Anne
2 Tsunogai, Hiroshi
2 Tu, Fang-Ting
2 Yamasaki, Aiichi
2 Yamauchi, Takuya
2 Yang, Yifan
2 Yuen, David S.
1 Achter, Jeffrey D.
1 Angel, Omer
1 Baker, Matthew H.
1 Ballantine, Cristina M.
1 Bannai, Shinzo
1 Bayer Isant, Pilar
1 Beli, Constantin-Nicolae
1 Beshaj, Lubjana
1 Blanchard, Andrea
1 Böcherer, Siegfried
1 Boutteaux, Gérard
1 Breeding, Jeffery II
1 Brooks, Robert Wolfe
1 Chan, Wai Kiu
1 Chekhov, Leonid O.
1 Chen, Haiyan
1 Chen, Yu
1 Chida, Masataka
1 Choe, Young-Bin
1 Christian, Ulrich
1 Ciavarella, Miriam
1 Ciubotaru, Dan
1 Dèbes, Pierre
1 Dembélé, Lassina
1 Dieulefait, Luis Victor
1 Dummigan, Neil
1 Durfee, Christina
1 Eie, Minking
1 Elezi, Artur
1 Elkin, Arsen
1 Ellenberg, Jordan S.
1 Fretwell, Dan
1 Frey, Gerhard
1 Friedli, Fabien
1 Friedman, Joel
1 Gonzàlez Rovira, Josep
1 Guàrdia, Jordi
1 Guitart, Xavier
1 Harashita, Shushi
...and 89 more Authors
all top 5

Cited in 70 Serials

19 Linear Algebra and its Applications
18 Journal of Number Theory
17 Proceedings of the Japan Academy. Series A
8 Mathematics of Computation
8 Journal of Algebra
8 Tohoku Mathematical Journal. Second Series
7 Discrete Mathematics
6 Advances in Mathematics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Transactions of the American Mathematical Society
5 International Journal of Number Theory
4 Compositio Mathematica
4 International Journal of Mathematics
4 Journal de Théorie des Nombres de Bordeaux
3 Journal of the Mathematical Society of Japan
3 Proceedings of the American Mathematical Society
3 Tokyo Journal of Mathematics
3 Experimental Mathematics
3 Journal of Algebraic Combinatorics
3 The Ramanujan Journal
2 Annales de l’Institut Fourier
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Combinatorial Theory. Series B
2 Journal of Functional Analysis
2 Journal of Pure and Applied Algebra
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Kyoto Journal of Mathematics
2 Research in the Mathematical Sciences
1 Communications in Algebra
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Arithmetica
1 Functiones et Approximatio. Commentarii Mathematici
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Topology and its Applications
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Graphs and Combinatorics
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Imaging and Vision
1 Zapiski Nauchnykh Seminarov POMI
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 LMS Journal of Computation and Mathematics
1 Journal of High Energy Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Albanian Journal of Mathematics
1 Journal of \(K\)-Theory
1 Probability Surveys
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 European Journal of Mathematics
1 Research in Number Theory

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