# zbMATH — the first resource for mathematics

## Ibukiyama, Tomoyoshi

Compute Distance To:
 Author ID: ibukiyama.tomoyoshi Published as: Ibukiyama, T.; Ibukiyama, Tomoyoshi External Links: MGP
 Documents Indexed: 78 Publications since 1974, including 4 Books
all top 5

#### Co-Authors

 36 single-authored 11 Katsurada, Hidenori 6 Saito, Hiroshi 4 Hashimoto, Ki-ichiro 3 Böcherer, Siegfried 2 Dummigan, Neil 2 Hayashida, Shuichi 2 Kaneko, Masanobu 2 Katsura, Toshiyuki 2 Poor, Cris 2 Yuen, David S. 1 Al-Baali, Mehiddin 1 Aoki, Hiroki 1 Arakawa, Tsuneo 1 Bannai, Eiichi 1 Bergström, Jonas 1 Eholzer, Wolfgang 1 Harada, Masaaki 1 Heim, Bernhard Ernst 1 Ihara, Yasutaka 1 Kitayama, Hidetaka 1 Kohnen, Winfried 1 Kuzumaki, Takako 1 Kyomura, Ryoji 1 Mégarbané, Thomas 1 Munemasa, Akihiro 1 Ochiai, Hiroyuki 1 Onodera, F. 1 Oort, Frans 1 Oura, Manabu 1 Rupp, Florian H.-H. 1 Sato, Fumihiro 1 Skoruppa, Nils-Peter 1 Takemori, Sho 1 Wakatsuki, Satoshi
all top 5

#### Serials

 8 Commentarii Mathematici Universitatis Sancti Pauli 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Journal of the Faculty of Science. Section I A 6 RIMS Kokyuroku 5 Journal of Number Theory 4 Journal of the Mathematical Society of Japan 3 Nagoya Mathematical Journal 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 International Journal of Mathematics 2 Compositio Mathematica 2 Osaka Journal of Mathematics 2 Tohoku Mathematical Journal. Second Series 2 Experimental Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the Japan Academy. Series A 1 Sugaku Expositions 1 IMRN. International Mathematics Research Notices 1 Selecta Mathematica. New Series 1 Oberwolfach Reports 1 Kyoto Journal of Mathematics 1 Springer Proceedings in Mathematics & Statistics 1 Research in the Mathematical Sciences 1 Research in Number Theory 1 Springer Monographs in Mathematics
all top 5

#### Fields

 77 Number theory (11-XX) 10 Algebraic geometry (14-XX) 4 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

63 Publications have been cited 527 times in 325 Documents Cited by Year
Bernoulli numbers and zeta functions. With an appendix by Don Zagier. Zbl 1312.11015
Arakawa, Tsuneo; Ibukiyama, Tomoyoshi; Kaneko, Masanobu
2014
Simple graded rings of Siegel modular forms, differential operators and Borcherds products. Zbl 1068.11030
Aoki, Hiroki; Ibukiyama, Tomoyoshi
2005
Supersingular curves of genus two and class numbers. Zbl 0589.14028
Ibukiyama, Tomoyoshi; Katsura, Toshiyuki; Oort, Frans
1986
On differential operators on automorphic forms and invariant pluri-harmonic polynomials. Zbl 1007.11023
Ibukiyama, Tomoyoshi
1999
Rankin-Cohen type differential operators for Siegel modular forms. Zbl 0919.11037
Eholzer, Wolfgang; Ibukiyama, Tomoyoshi
1998
On class numbers of positive definite binary quaternion Hermitian forms. Zbl 0452.10029
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
1980
Type II codes over $$\mathbb F_2+ u\mathbb F_2$$ and applications to Hermitian modular forms. Zbl 1048.11038
Bannai, Eiichi; Harada, Masaaki; Ibukiyama, Tomoyoshi; Munemasa, Akihiro; Oura, Manabu
2003
Saito-Kurokawa liftings of level $$N$$ and practical construction of Jacobi forms. Zbl 1284.11085
Ibukiyama, Tomoyoshi
2012
On Jacobi forms and Siegel modular forms of half integral weights. Zbl 0787.11015
Ibukiyama, Tomoyoshi
1992
On Siegel modular varieties of level 3. Zbl 0721.11018
Ibukiyama, Tomoyoshi
1991
On zeta functions associated to symmetric matrices. I: An explicit form of zeta functions. Zbl 0846.11028
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1995
On rational points of curves of genus 3 over finite fields. Zbl 0819.14007
Ibukiyama, Tomoyoshi
1993
Vector valued Siegel modular forms of symmetric tensor weight of small degrees. Zbl 1287.11064
Ibukiyama, Tomoyoshi
2012
Some Siegel modular standard $$L$$-values, and Shafarevich-Tate groups. Zbl 1254.11046
Dummigan, Neil; Ibukiyama, Tomoyoshi; Katsurada, Hidenori
2011
On symplectic Euler factors of genus two. Zbl 0533.10024
Ibukiyama, Tomoyoshi
1984
On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings. Zbl 0473.12012
Ibukiyama, Tomoyoshi
1982
On the field of definition of superspecial polarized abelian varieties and type numbers. Zbl 0817.14024
Ibukiyama, Tomoyoshi; Katsura, Toshiyuki
1994
On class numbers of positive definite binary quaternion Hermitian forms. II. Zbl 0493.10030
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
1981
Koecher-Maaß series for real analytic Siegel Eisenstein series. Zbl 1112.11021
2006
On relations of dimensions of automorphic forms of $$\mathrm{Sp}(2,\mathbb{R})$$ and its compact twist $$\mathrm{Sp}(2)$$. I. Zbl 0609.10018
Ibukiyama, Tomoyoshi
1985
Jacobi forms that characterize paramodular forms. Zbl 1297.11037
Ibukiyama, Tomoyoshi; Poor, Cris; Yuen, David S.
2013
On the graded ring of modular forms of the Siegel paramodular group of level 2. Zbl 0978.11022
Ibukiyama, T.; Onodera, F.
1997
On zeta functions associated to symmetric matrices. II: Functional equations and special values. Zbl 1275.11085
Ibukiyama, Tomoyoshi; Saito, Hiroshi
2012
Modular forms of rational weights and modular varieties. Zbl 1009.11028
Ibukiyama, T.
2000
On some alternating sum of dimensions of Siegel cusp forms of general degree and cusp configurations. Zbl 0830.11019
Ibukiyama, Tomoyoshi
1993
An explicit formula for the Koecher-Maaß Dirichlet series for the Ikeda lifting. Zbl 1073.11031
2004
An explicit formula for Koecher-Maaß Dirichlet series for Eisenstein series of Klingen type. Zbl 1053.11046
2003
On $$L$$-functions of ternary zero forms and exponential sums of Lee and Weintraub. Zbl 0824.11033
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1994
On automorphic forms on the unitary symplectic group $$\mathrm{Sp}(n)$$ and $$\mathrm{SL}_ 2(\mathbb R)$$. Zbl 0634.10024
Ibukiyama, Tomoyoshi; Ihara, Yasutaka
1987
Exact critical values of the symmetric fourth $$L$$ function and vector valued Siegel modular forms. Zbl 1291.11087
2014
Congruences to Ikeda-Miyawaki lifts and triple $$L$$-values of elliptic modular forms. Zbl 1322.11042
Ibukiyama, Tomoyoshi; Katsurada, Hidenori; Poor, Cris; Yuen, David S.
2014
Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms. Zbl 1272.11066
Ibukiyama, Tomoyoshi; Kuzumaki, Takako; Ochiai, Hiroyuki
2012
Siegel modular forms of small weight and the Witt operator. Zbl 1244.11049
Ibukiyama, Tomoyoshi; Wakatsuki, Satoshi
2009
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
1985
Dimension formulas of paramodular forms of squarefree level and comparison with inner twist. Zbl 1422.11110
Ibukiyama, Tomoyoshi; Kitayama, Hidetaka
2017
Conjectures of Shimura type and of Harder type revisited. Zbl 1355.11046
Ibukiyama, Tomoyoshi
2014
A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder’s conjecture on congruences. Zbl 1259.11048
Ibukiyama, Tomoyoshi
2008
A vanishing theorem for Siegel modular forms of weight one. Zbl 1163.11038
Ibukiyama, T.; Skoruppa, N.-P.
2007
Siegel modular forms of half integral weight and a lifting conjecture. Zbl 1122.11028
Hayashida, Shuichi; Ibukiyama, Tomoyoshi
2005
Squared Möbius function for half-integral matrices and its applications. Zbl 1012.11037
2001
Taylor expansions of Jacobi forms and applications to explicit structures of degree two. Zbl 1308.11051
Ibukiyama, Tomoyoshi
2012
Siegel modular forms of weight three and conjectural correspondence of Shimura type and Langlands type. Zbl 1183.11025
Ibukiyama, T.
2007
Positivity of eta products – a certain case of K. Saito’s conjecture. Zbl 1089.11024
Ibukiyama, Tomoyoshi
2005
Differential operators and structures of vector valued Siegel modular forms. Zbl 0985.11503
Ibukiyama, Tomoyoshi
2001
An explicit form of Koecher-Maaß Dirichlet series associated with Siegel Eisenstein series. Zbl 1043.11521
1996
On zeta functions associated to symmetric matrices and an explicit conjecture on dimensions of Siegel modular forms of general degree. Zbl 0767.11024
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1992
On automorphism groups of positive definite binary quaternion Hermitian lattices and new mass formula. Zbl 0703.11019
Ibukiyama, Tomoyoshi
1989
On symplectic Euler factors of genus two. Zbl 0489.10021
Ibukiyama, Tomoyoshi
1981
Construction of theta series of any vector-valued weight and applications to lifts and congruences. Zbl 07052493
Ibukiyama, Tomoyoshi; Takemori, Sho
2019
Eisenstein congruences for $$\mathrm{SO}(4,3)$$, $$\mathrm{SO}(4,4)$$, spinor, and triple product $$L$$-values. Zbl 1416.11066
Bergström, Jonas; Dummigan, Neil; Mégarbané, Thomas; Ibukiyama, Tomoyoshi; Katsurada, Hidenori
2018
Type numbers of quaternion Hermitian forms and supersingular abelian varieties. Zbl 1403.11034
Ibukiyama, Tomoyoshi
2018
Structures and dimensions of vector valued Jacobi forms of degree two. Zbl 1396.11076
Ibukiyama, Tomoyoshi
2015
An Atkin-Lehner type theorem on Siegel modular forms and primitive Fourier coefficients. Zbl 1276.11071
2012
On zeta functions associated to symmetric matrices. III: An explicit form of $$L$$-functions. Zbl 0877.11047
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1997
On class numbers of positive definite binary quaternion Hermitian forms. III. Zbl 0533.10019
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
1983
One-line formula for automorphic differential operators on Siegel modular forms. Zbl 07100735
Ibukiyama, Tomoyoshi
2019
Modules of vector valued Siegel modular forms of half integral weight. Zbl 1297.11034
Ibukiyama, Tomoyoshi
2013
Surjectivity of Siegel $$\Phi$$-operator for square free level and small weight. Zbl 1325.11041
Böcherer, Siegfried; Ibukiyama, Tomoyoshi
2012
A generalization of vector valued Jacobi forms. Zbl 1246.11103
Ibukiyama, Tomoyoshi; Kyomura, Ryoji
2011
On “easy” zeta functions. Zbl 1246.11151
Ibukiyama, Tomoyoshi; Saito, Hiroshi
2001
Siegel modular forms of half integral weights and a lifting conjecture. Zbl 0969.11509
Ibukiyama, Tomoyoshi; Hayashida, Shuichi
2000
On some elementary character sums. Zbl 0921.11046
Ibukiyama, Tomoyoshi
1998
Formal groups and $$L$$ functions. Zbl 0322.14017
Ibukiyama, Tomoyoshi
1974
Construction of theta series of any vector-valued weight and applications to lifts and congruences. Zbl 07052493
Ibukiyama, Tomoyoshi; Takemori, Sho
2019
One-line formula for automorphic differential operators on Siegel modular forms. Zbl 07100735
Ibukiyama, Tomoyoshi
2019
Eisenstein congruences for $$\mathrm{SO}(4,3)$$, $$\mathrm{SO}(4,4)$$, spinor, and triple product $$L$$-values. Zbl 1416.11066
Bergström, Jonas; Dummigan, Neil; Mégarbané, Thomas; Ibukiyama, Tomoyoshi; Katsurada, Hidenori
2018
Type numbers of quaternion Hermitian forms and supersingular abelian varieties. Zbl 1403.11034
Ibukiyama, Tomoyoshi
2018
Dimension formulas of paramodular forms of squarefree level and comparison with inner twist. Zbl 1422.11110
Ibukiyama, Tomoyoshi; Kitayama, Hidetaka
2017
Structures and dimensions of vector valued Jacobi forms of degree two. Zbl 1396.11076
Ibukiyama, Tomoyoshi
2015
Bernoulli numbers and zeta functions. With an appendix by Don Zagier. Zbl 1312.11015
Arakawa, Tsuneo; Ibukiyama, Tomoyoshi; Kaneko, Masanobu
2014
Exact critical values of the symmetric fourth $$L$$ function and vector valued Siegel modular forms. Zbl 1291.11087
2014
Congruences to Ikeda-Miyawaki lifts and triple $$L$$-values of elliptic modular forms. Zbl 1322.11042
Ibukiyama, Tomoyoshi; Katsurada, Hidenori; Poor, Cris; Yuen, David S.
2014
Conjectures of Shimura type and of Harder type revisited. Zbl 1355.11046
Ibukiyama, Tomoyoshi
2014
Jacobi forms that characterize paramodular forms. Zbl 1297.11037
Ibukiyama, Tomoyoshi; Poor, Cris; Yuen, David S.
2013
Modules of vector valued Siegel modular forms of half integral weight. Zbl 1297.11034
Ibukiyama, Tomoyoshi
2013
Saito-Kurokawa liftings of level $$N$$ and practical construction of Jacobi forms. Zbl 1284.11085
Ibukiyama, Tomoyoshi
2012
Vector valued Siegel modular forms of symmetric tensor weight of small degrees. Zbl 1287.11064
Ibukiyama, Tomoyoshi
2012
On zeta functions associated to symmetric matrices. II: Functional equations and special values. Zbl 1275.11085
Ibukiyama, Tomoyoshi; Saito, Hiroshi
2012
Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms. Zbl 1272.11066
Ibukiyama, Tomoyoshi; Kuzumaki, Takako; Ochiai, Hiroyuki
2012
Taylor expansions of Jacobi forms and applications to explicit structures of degree two. Zbl 1308.11051
Ibukiyama, Tomoyoshi
2012
An Atkin-Lehner type theorem on Siegel modular forms and primitive Fourier coefficients. Zbl 1276.11071
2012
Surjectivity of Siegel $$\Phi$$-operator for square free level and small weight. Zbl 1325.11041
Böcherer, Siegfried; Ibukiyama, Tomoyoshi
2012
Some Siegel modular standard $$L$$-values, and Shafarevich-Tate groups. Zbl 1254.11046
Dummigan, Neil; Ibukiyama, Tomoyoshi; Katsurada, Hidenori
2011
A generalization of vector valued Jacobi forms. Zbl 1246.11103
Ibukiyama, Tomoyoshi; Kyomura, Ryoji
2011
Siegel modular forms of small weight and the Witt operator. Zbl 1244.11049
Ibukiyama, Tomoyoshi; Wakatsuki, Satoshi
2009
A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder’s conjecture on congruences. Zbl 1259.11048
Ibukiyama, Tomoyoshi
2008
A vanishing theorem for Siegel modular forms of weight one. Zbl 1163.11038
Ibukiyama, T.; Skoruppa, N.-P.
2007
Siegel modular forms of weight three and conjectural correspondence of Shimura type and Langlands type. Zbl 1183.11025
Ibukiyama, T.
2007
Koecher-Maaß series for real analytic Siegel Eisenstein series. Zbl 1112.11021
2006
Simple graded rings of Siegel modular forms, differential operators and Borcherds products. Zbl 1068.11030
Aoki, Hiroki; Ibukiyama, Tomoyoshi
2005
Siegel modular forms of half integral weight and a lifting conjecture. Zbl 1122.11028
Hayashida, Shuichi; Ibukiyama, Tomoyoshi
2005
Positivity of eta products – a certain case of K. Saito’s conjecture. Zbl 1089.11024
Ibukiyama, Tomoyoshi
2005
An explicit formula for the Koecher-Maaß Dirichlet series for the Ikeda lifting. Zbl 1073.11031
2004
Type II codes over $$\mathbb F_2+ u\mathbb F_2$$ and applications to Hermitian modular forms. Zbl 1048.11038
Bannai, Eiichi; Harada, Masaaki; Ibukiyama, Tomoyoshi; Munemasa, Akihiro; Oura, Manabu
2003
An explicit formula for Koecher-Maaß Dirichlet series for Eisenstein series of Klingen type. Zbl 1053.11046
2003
Squared Möbius function for half-integral matrices and its applications. Zbl 1012.11037
2001
Differential operators and structures of vector valued Siegel modular forms. Zbl 0985.11503
Ibukiyama, Tomoyoshi
2001
On “easy” zeta functions. Zbl 1246.11151
Ibukiyama, Tomoyoshi; Saito, Hiroshi
2001
Modular forms of rational weights and modular varieties. Zbl 1009.11028
Ibukiyama, T.
2000
Siegel modular forms of half integral weights and a lifting conjecture. Zbl 0969.11509
Ibukiyama, Tomoyoshi; Hayashida, Shuichi
2000
On differential operators on automorphic forms and invariant pluri-harmonic polynomials. Zbl 1007.11023
Ibukiyama, Tomoyoshi
1999
Rankin-Cohen type differential operators for Siegel modular forms. Zbl 0919.11037
Eholzer, Wolfgang; Ibukiyama, Tomoyoshi
1998
On some elementary character sums. Zbl 0921.11046
Ibukiyama, Tomoyoshi
1998
On the graded ring of modular forms of the Siegel paramodular group of level 2. Zbl 0978.11022
Ibukiyama, T.; Onodera, F.
1997
On zeta functions associated to symmetric matrices. III: An explicit form of $$L$$-functions. Zbl 0877.11047
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1997
An explicit form of Koecher-Maaß Dirichlet series associated with Siegel Eisenstein series. Zbl 1043.11521
1996
On zeta functions associated to symmetric matrices. I: An explicit form of zeta functions. Zbl 0846.11028
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1995
On the field of definition of superspecial polarized abelian varieties and type numbers. Zbl 0817.14024
Ibukiyama, Tomoyoshi; Katsura, Toshiyuki
1994
On $$L$$-functions of ternary zero forms and exponential sums of Lee and Weintraub. Zbl 0824.11033
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1994
On rational points of curves of genus 3 over finite fields. Zbl 0819.14007
Ibukiyama, Tomoyoshi
1993
On some alternating sum of dimensions of Siegel cusp forms of general degree and cusp configurations. Zbl 0830.11019
Ibukiyama, Tomoyoshi
1993
On Jacobi forms and Siegel modular forms of half integral weights. Zbl 0787.11015
Ibukiyama, Tomoyoshi
1992
On zeta functions associated to symmetric matrices and an explicit conjecture on dimensions of Siegel modular forms of general degree. Zbl 0767.11024
Ibukiyama, Tomoyoshi; Saito, Hiroshi
1992
On Siegel modular varieties of level 3. Zbl 0721.11018
Ibukiyama, Tomoyoshi
1991
On automorphism groups of positive definite binary quaternion Hermitian lattices and new mass formula. Zbl 0703.11019
Ibukiyama, Tomoyoshi
1989
On automorphic forms on the unitary symplectic group $$\mathrm{Sp}(n)$$ and $$\mathrm{SL}_ 2(\mathbb R)$$. Zbl 0634.10024
Ibukiyama, Tomoyoshi; Ihara, Yasutaka
1987
Supersingular curves of genus two and class numbers. Zbl 0589.14028
Ibukiyama, Tomoyoshi; Katsura, Toshiyuki; Oort, Frans
1986
On relations of dimensions of automorphic forms of $$\mathrm{Sp}(2,\mathbb{R})$$ and its compact twist $$\mathrm{Sp}(2)$$. I. Zbl 0609.10018
Ibukiyama, Tomoyoshi
1985
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
1985
On symplectic Euler factors of genus two. Zbl 0533.10024
Ibukiyama, Tomoyoshi
1984
On class numbers of positive definite binary quaternion Hermitian forms. III. Zbl 0533.10019
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
1983
On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings. Zbl 0473.12012
Ibukiyama, Tomoyoshi
1982
On class numbers of positive definite binary quaternion Hermitian forms. II. Zbl 0493.10030
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
1981
On symplectic Euler factors of genus two. Zbl 0489.10021
Ibukiyama, Tomoyoshi
1981
On class numbers of positive definite binary quaternion Hermitian forms. Zbl 0452.10029
Hashimoto, Ki-ichiro; Ibukiyama, Tomoyoshi
1980
Formal groups and $$L$$ functions. Zbl 0322.14017
Ibukiyama, Tomoyoshi
1974
all top 5

#### Cited by 313 Authors

 31 Ibukiyama, Tomoyoshi 15 Katsurada, Hidenori 12 Poor, Cris 11 Yuen, David S. 9 Dinh, Hai Quang 9 Mizuno, Yoshinori 7 Dummigan, Neil 7 Hashimoto, Ki-ichiro 6 Böcherer, Siegfried 6 Katsura, Toshiyuki 6 Sriboonchitta, Songsak 6 Van der Geer, Gerard 6 Wakatsuki, Satoshi 6 Yu, Chia-Fu 5 Brown, Jim L. 5 Hayashida, Shuichi 5 Pevzner, Michael 5 Schmidt, Ralf 5 Takemori, Sho 4 Bergström, Jonas 4 Cléry, Fabien 4 Harashita, Shushi 4 Heim, Bernhard Ernst 4 Isaacson, Brad 4 Kudo, Momonari 4 Matsusaka, Toshiki 4 Nagaoka, Shoyu 4 Nakamura, Takashi 4 Nguyen, Bac Trong 4 Shurman, Jerry 4 Tsumura, Hirofumi 4 Yamauchi, Takuya 3 Aoki, Hiroki 3 Bényi, Beáta 3 Faber, Carel Filip 3 Freitag, Eberhard 3 Govindarajan, Suresh 3 Gritsenko, Valeriĭ Alekseevich 3 Howe, Everett W. 3 Huffman, W. Cary 3 Kaneko, Masanobu 3 Kani, Ernst J. 3 Kim, Hyunjin 3 Komatsu, Takao 3 Krieg, Aloys 3 Narita, Hiro-aki 3 Oort, Frans 3 Pankowski, Łukasz 3 Ritzenthaler, Christophe 3 Saito, Hiroshi 3 Salvati Manni, Riccardo 2 Achter, Jeffrey D. 2 Ankur 2 Blagouchine, Iaroslav V. 2 Bruinier, Jan Hendrik 2 Cenkci, Mehmet 2 Choie, YoungJu 2 Dabholkar, Atish 2 Dern, Tobias 2 Duncan, John F. R. 2 Hajnal, Péter 2 Hikami, Kazuhiro 2 Hoffmann, Werner 2 Imamoḡlu, Özlem 2 Kawamura, Hisa-Aki 2 Kikuta, Toshiyuki 2 Kim, Dohan 2 Kim, Henry H. 2 Kitayama, Hidetaka 2 Kiyuna, Tomoya 2 Klosin, Krzysztof 2 Kodama, Hirotaka 2 Kodama, Tetsuo 2 Kohnen, Winfried 2 Koseki, Harutaka 2 Krishna, K. Gopala 2 Lee, Yoonjin 2 Longo, Matteo 2 Martin, Yves-Loïc 2 Marzec, Jolanta 2 Milovanović, Gradimir V. 2 Miyazaki, Rinko 2 Murase, Atsushi 2 Nagatomo, Kiyokazu 2 Naito, Toshiki 2 Nart, Enric 2 Nicole, Marc-Hubert 2 Ohno, Yasuo 2 Olver, Peter John 2 Pitale, Ameya 2 Pries, Rachel J. 2 Runge, Bernhard 2 Sahu, Brundaban 2 Sakai, Yuichi 2 Sasaki, Yoshitaka 2 Sen, Ashoke Kumar 2 Senda, Hayato 2 Shin, Jong Son 2 Stuken, E. S. 2 Vo, Thang M. ...and 213 more Authors
all top 5

#### Cited in 100 Serials

 36 Journal of Number Theory 17 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 13 Finite Fields and their Applications 9 Mathematische Zeitschrift 9 International Journal of Mathematics 7 Journal of the Mathematical Society of Japan 7 Tohoku Mathematical Journal. Second Series 7 Journal de Théorie des Nombres de Bordeaux 7 The Ramanujan Journal 6 Advances in Mathematics 6 Mathematische Annalen 6 Osaka Journal of Mathematics 6 International Journal of Number Theory 5 Discrete Mathematics 5 Letters in Mathematical Physics 5 Mathematics of Computation 5 Annales de l’Institut Fourier 5 Nagoya Mathematical Journal 5 Proceedings of the American Mathematical Society 5 Proceedings of the Japan Academy. Series A 5 Experimental Mathematics 5 Selecta Mathematica. New Series 5 Kyoto Journal of Mathematics 5 Research in Number Theory 4 Journal of Mathematical Analysis and Applications 4 Compositio Mathematica 4 Journal of Algebra 4 Manuscripta Mathematica 4 Transactions of the American Mathematical Society 4 Journal of High Energy Physics 3 Communications in Algebra 3 Rocky Mountain Journal of Mathematics 3 Acta Arithmetica 3 Journal of Pure and Applied Algebra 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Tokyo Journal of Mathematics 3 Forum Mathematicum 3 Journal of Integer Sequences 3 Research in the Mathematical Sciences 2 General Relativity and Gravitation 2 Nuclear Physics. B 2 Russian Mathematical Surveys 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of the Korean Mathematical Society 2 Mathematika 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Journal of Algebraic Geometry 2 Journal of Mathematical Sciences (New York) 2 Kyushu Journal of Mathematics 2 Documenta Mathematica 2 Journal of Algebra and its Applications 2 Journal of Physics A: Mathematical and Theoretical 2 European Journal of Mathematics 1 Communications in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Chaos, Solitons and Fractals 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Revista Matemática Iberoamericana 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Annales Mathématiques Blaise Pascal 1 The Electronic Journal of Combinatorics 1 Bulletin des Sciences Mathématiques 1 Mathematical Problems in Engineering 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Integers 1 Inverse Problems in Science and Engineering 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of Mathematical Cryptology 1 Asian-European Journal of Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Arabian Journal of Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Forum of Mathematics, Pi 1 Annales Mathématiques du Québec 1 Journal of Function Spaces
all top 5

#### Cited in 36 Fields

 281 Number theory (11-XX) 70 Algebraic geometry (14-XX) 22 Information and communication theory, circuits (94-XX) 13 Topological groups, Lie groups (22-XX) 12 Quantum theory (81-XX) 11 Combinatorics (05-XX) 11 Nonassociative rings and algebras (17-XX) 10 Special functions (33-XX) 9 Group theory and generalizations (20-XX) 8 Differential geometry (53-XX) 6 Relativity and gravitational theory (83-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Commutative algebra (13-XX) 4 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Manifolds and cell complexes (57-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Associative rings and algebras (16-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)