Edit Profile (opens in new tab) Hironaka, Yumiko Co-Author Distance Author ID: hironaka.yumiko Published as: Hironaka, Yumiko; Hironaka, Y. Documents Indexed: 40 Publications since 1979, including 1 Book and 1 Additional arXiv Preprint 1 Contribution as Editor Reviewing Activity: 24 Reviews Co-Authors: 4 Co-Authors with 13 Joint Publications 58 Co-Co-Authors Co-Authors 28 single-authored 10 Sato, Fumihiro 2 Komori, Yasushi 1 Böcherer, Siegfried 1 Endo, Shizuo all top 5 Serials 6 Commentarii Mathematici Universitatis Sancti Pauli 4 Journal of Number Theory 4 RIMS Kokyuroku 2 Journal of the Mathematical Society of Japan 2 Japanese Journal of Mathematics. New Series 2 Tsukuba Journal of Mathematics 2 International Journal of Number Theory 1 Communications in Algebra 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics all top 5 Fields 40 Number theory (11-XX) 17 Topological groups, Lie groups (22-XX) 15 Abstract harmonic analysis (43-XX) 5 Special functions (33-XX) 4 Associative rings and algebras (16-XX) 4 Group theory and generalizations (20-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 116 times in 58 Documents Cited by ▼ Year ▼ Spherical functions and local densities on Hermitian forms. Zbl 0936.11024 Hironaka, Yumiko 16 1999 Spherical functions and local densities of alternating forms. Zbl 0662.22013 Hironaka, Yumiko; Sato, Fumihiro 13 1988 Local zeta functions on Hermitian forms and its application to local densities. Zbl 0932.11072 Hironaka, Yumiko 13 1998 Local densities of representations of quadratic forms over \(p\)-adic integers (the non-dyadic case). Zbl 0949.11023 Sato, Fumihiro; Hironaka, Yumiko 9 2000 Spherical functions of Hermitian and symmetric forms. I. Zbl 0674.43006 Hironaka, Yumiko 7 1988 On a denominator of Kitaoka’s power series attached to local densities. Zbl 0666.10013 Hironaka, Yumiko 6 1988 Local densities of alternating forms. Zbl 0682.10017 Hironaka, Yumiko; Sato, Fumihiro 6 1989 Spherical functions of Hermitian and symmetric forms. III. Zbl 0674.43007 Hironaka, Yumiko 5 1988 Spherical functions on \(U(2n)/ (U(n) \times U(n))\) and Hermitian Siegel series. Zbl 1262.11066 Hironaka, Yumiko 5 2012 Spherical functions of Hermitian and symmetric forms. II. Zbl 0714.43012 Hironaka, Yumiko 4 1989 Finite groups with trivial class groups. Zbl 0396.20004 Endo, Shizuo; Hironaka, Yumiko 4 1979 Zeta functions of integral group rings of metacyclic groups. Zbl 0485.12009 Hironaka, Yumiko 3 1981 Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms. Zbl 1239.11042 Böcherer, Siegfried; Hironaka, Yumiko; Sato, Fumihiro 3 2009 The Siegel series and spherical functions on \(O(2n)/(O(n)\times O(n))\). Zbl 1228.11063 Hironaka, Yumiko; Sato, Fumihiro 3 2006 Eisenstein series on reductive symmetric spaces and representations of Hecke algebras. Zbl 0789.11031 Hironaka, Yumiko; Sato, Fumihiro 3 1993 Classification of Hermitian forms by the Iwahori subgroup and their local densities. Zbl 1028.11022 Hironaka, Yumiko 2 2000 Corrections to my paper ”Zeta functions of integral group rings of metacyclic groups”. Zbl 0586.12012 Hironaka, Yumiko 2 1985 Spherical functions on \(\text{Sp}_2\) as a spherical homogeneous \(\text{Sp}_2\times (\text{Sp}_1)^2\)-space. Zbl 1071.22021 Hironaka, Yumiko 2 2005 Spherical functions of Hermitian and symmetric forms over 2-adic fields. Zbl 0718.11016 Hironaka, Yumiko 2 1990 Spherical functions on the space of \(p\)-adic unitary Hermitian matrices. II: The case of odd size. Zbl 1352.11055 Hironaka, Yumiko; Komori, Yasushi 2 2014 Spherical functions on the space of \(p\)-adic unitary Hermitian matrices. Zbl 1291.11091 Hironaka, Yumiko; Komori, Yasushi 2 2014 Spherical functions on \(p\)-adic homogeneous spaces. Zbl 1261.11045 Hironaka, Yumiko 1 2010 Harmonic analysis on the space of \(p\)-adic unitary Hermitian matrices, mainly for dyadic case. Zbl 1430.11051 Hironaka, Yumiko 1 2017 Functional equations of spherical functions on \(p\)-adic homogeneous spaces. Zbl 1117.11031 Hironaka, Y. 1 2005 Zeta functions of finite groups by enumerating subgroups. Zbl 1400.20015 Hironaka, Yumiko 1 2017 Harmonic analysis on the space of \(p\)-adic unitary Hermitian matrices, mainly for dyadic case. Zbl 1430.11051 Hironaka, Yumiko 1 2017 Zeta functions of finite groups by enumerating subgroups. Zbl 1400.20015 Hironaka, Yumiko 1 2017 Spherical functions on the space of \(p\)-adic unitary Hermitian matrices. II: The case of odd size. Zbl 1352.11055 Hironaka, Yumiko; Komori, Yasushi 2 2014 Spherical functions on the space of \(p\)-adic unitary Hermitian matrices. Zbl 1291.11091 Hironaka, Yumiko; Komori, Yasushi 2 2014 Spherical functions on \(U(2n)/ (U(n) \times U(n))\) and Hermitian Siegel series. Zbl 1262.11066 Hironaka, Yumiko 5 2012 Spherical functions on \(p\)-adic homogeneous spaces. Zbl 1261.11045 Hironaka, Yumiko 1 2010 Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms. Zbl 1239.11042 Böcherer, Siegfried; Hironaka, Yumiko; Sato, Fumihiro 3 2009 The Siegel series and spherical functions on \(O(2n)/(O(n)\times O(n))\). Zbl 1228.11063 Hironaka, Yumiko; Sato, Fumihiro 3 2006 Spherical functions on \(\text{Sp}_2\) as a spherical homogeneous \(\text{Sp}_2\times (\text{Sp}_1)^2\)-space. Zbl 1071.22021 Hironaka, Yumiko 2 2005 Functional equations of spherical functions on \(p\)-adic homogeneous spaces. Zbl 1117.11031 Hironaka, Y. 1 2005 Local densities of representations of quadratic forms over \(p\)-adic integers (the non-dyadic case). Zbl 0949.11023 Sato, Fumihiro; Hironaka, Yumiko 9 2000 Classification of Hermitian forms by the Iwahori subgroup and their local densities. Zbl 1028.11022 Hironaka, Yumiko 2 2000 Spherical functions and local densities on Hermitian forms. Zbl 0936.11024 Hironaka, Yumiko 16 1999 Local zeta functions on Hermitian forms and its application to local densities. Zbl 0932.11072 Hironaka, Yumiko 13 1998 Eisenstein series on reductive symmetric spaces and representations of Hecke algebras. Zbl 0789.11031 Hironaka, Yumiko; Sato, Fumihiro 3 1993 Spherical functions of Hermitian and symmetric forms over 2-adic fields. Zbl 0718.11016 Hironaka, Yumiko 2 1990 Local densities of alternating forms. Zbl 0682.10017 Hironaka, Yumiko; Sato, Fumihiro 6 1989 Spherical functions of Hermitian and symmetric forms. II. Zbl 0714.43012 Hironaka, Yumiko 4 1989 Spherical functions and local densities of alternating forms. Zbl 0662.22013 Hironaka, Yumiko; Sato, Fumihiro 13 1988 Spherical functions of Hermitian and symmetric forms. I. Zbl 0674.43006 Hironaka, Yumiko 7 1988 On a denominator of Kitaoka’s power series attached to local densities. Zbl 0666.10013 Hironaka, Yumiko 6 1988 Spherical functions of Hermitian and symmetric forms. III. Zbl 0674.43007 Hironaka, Yumiko 5 1988 Corrections to my paper ”Zeta functions of integral group rings of metacyclic groups”. Zbl 0586.12012 Hironaka, Yumiko 2 1985 Zeta functions of integral group rings of metacyclic groups. Zbl 0485.12009 Hironaka, Yumiko 3 1981 Finite groups with trivial class groups. Zbl 0396.20004 Endo, Shizuo; Hironaka, Yumiko 4 1979 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 9 Hironaka, Yumiko 4 Katsurada, Hidenori 3 Nagaoka, Shoyu 3 Offen, Omer 3 Sato, Fumihiro 2 Böcherer, Siegfried 2 Fiori, Andrew 2 Gunji, Keiichi 2 Lagier, Nathalie 2 Li, Chao 2 Mao, Zhengyu 2 Zhang, Wei 1 Admasu, Fikreab Solomon 1 Aizenbud, Avraham 1 Andrews, George Eyre 1 Babei, Angelica 1 Blanc, Philippe 1 Chinta, Gautam 1 Cho, Sungmun 1 Cho, Sungyoon 1 Das, Soumya 1 Delorme, Patrick 1 Endo, Shizuo 1 Feigon, Brooke 1 Feng, Tony 1 Gan, Wee Teck 1 Gejima, Kohta 1 Hakim, Jeffrey L. 1 Herman, Allen 1 Hirasaka, Mitsugu 1 Hoshi, Akinari 1 Ibukiyama, Tomoyoshi 1 Ikeda, Tamotsu 1 Jacquet, Hervé Michel 1 Kato, Shin-ichi 1 Kitaoka, Yoshiyuki 1 Komori, Yasushi 1 Kudla, Stephen S. 1 Lapid, Erez Moshe 1 Lauret, Emilio A. 1 Midorikawa, Hisaichi 1 Miyata, Takehiko 1 Munemoto, Tomoyuki 1 Murase, Atsushi 1 Nagasaki, Ikumitsu 1 Navilarekallu, Tejaswi 1 Oh, Semin 1 Rallis, Stephen James 1 Rapoport, Michael 1 Sankaran, Siddarth 1 Sehgal, Amit 1 Shi, Yousheng 1 Stein, Oliver 1 Sugano, Takashi 1 Suzuki, Miyu 1 Venkateswaran, Vidya 1 Yamana, Shunsuke 1 Yamasaki, Aiichi 1 Yang, Tonghai 1 Yu, Jiu-Kang 1 Yun, Zhiwei all top 5 Cited in 31 Serials 11 Journal of Number Theory 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal of Algebra 3 Manuscripta Mathematica 3 Proceedings of the Japan Academy. Series A 3 Tôhoku Mathematical Journal. Second Series 2 Annales de l’Institut Fourier 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Number Theory 1 Indian Journal of Pure & Applied Mathematics 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Tokyo Journal of Mathematics 1 Journal of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 Annales Mathématiques du Québec all top 5 Cited in 14 Fields 49 Number theory (11-XX) 14 Topological groups, Lie groups (22-XX) 10 Algebraic geometry (14-XX) 8 Abstract harmonic analysis (43-XX) 7 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 3 Associative rings and algebras (16-XX) 2 Commutative algebra (13-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year