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## Hida, Haruzo

Compute Distance To:
 Author ID: hida.haruzo Published as: Hida, H.; Hida, Haruzo Homepage: https://www.math.ucla.edu/~hida/ External Links: MGP · Wikidata · GND
 Documents Indexed: 90 Publications since 1978, including 10 Books
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#### Co-Authors

 76 single-authored 7 Tilouine, Jacques 2 Burungale, Ashay A. 2 Doi, Koji 2 Maeda, Yoshitaka 1 Balasubramanyam, Baskar 1 Blasius, Don 1 Bluher, Toni 1 Ishii, Hidenori 1 Khuri-Makdisi, Kamal 1 Raghuram, Anantharam 1 Ramakrishnan, Dinakar 1 Ribet, Kenneth Alan 1 Shahidi, Freydoon 1 Silverberg, Alice 1 Urban, Eric 1 Yoshida, Hiroyuki
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#### Serials

 8 Inventiones Mathematicae 4 Annales de l’Institut Fourier 4 IMRN. International Mathematics Research Notices 4 Documenta Mathematica 3 Duke Mathematical Journal 3 Journal of the American Mathematical Society 2 American Journal of Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Annals of Mathematics. Second Series 2 Journal of the Institute of Mathematics of Jussieu 2 Pure and Applied Mathematics Quarterly 2 Cambridge Studies in Advanced Mathematics 2 Springer Monographs in Mathematics 1 Israel Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Hokkaido Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Japanese Journal of Mathematics. New Series 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Sūgaku 1 Sugaku Expositions 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Notices of the American Mathematical Society 1 The Asian Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 London Mathematical Society Student Texts 1 Translations. Series 2. American Mathematical Society 1 Algebra & Number Theory 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Sigma 1 Oxford Mathematical Monographs
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#### Fields

 89 Number theory (11-XX) 17 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 $$K$$-theory (19-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX)

#### Citations contained in zbMATH

77 Publications have been cited 1,155 times in 495 Documents Cited by Year
Galois representations into $$\text{GL}_2(\mathbb Z_p[[X]])$$ attached to ordinary cusp forms. Zbl 0612.10021
Hida, Haruzo
1986
Elementary theory of $$L$$-functions and Eisenstein series. Zbl 0942.11024
Hida, Haruzo
1993
Iwasawa modules attached to congruences of cusp forms. Zbl 0607.10022
Hida, Haruzo
1986
On p-adic Hecke algebras for $$GL_ 2$$ over totally real fields. Zbl 0658.10034
Hida, Haruzo
1988
$$p$$-adic automorphic forms on Shimura varieties. Zbl 1055.11032
Hida, Haruzo
2004
A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I. Zbl 0573.10020
Hida, Haruzo
1985
Congruences of cusp forms and special values of their zeta functions. Zbl 0459.10018
Hida, Haruzo
1981
Modular forms and Galois cohomology. Zbl 0952.11014
Hida, Haruzo
2000
Anti-cyclotomic Katz $$p$$-adic $$L$$-functions and congruence modules. Zbl 0778.11061
Hida, H.; Tilouine, J.
1993
On the critical values of $$L$$-functions of $$GL(2)$$ and $$GL(2)\times GL(2)$$. Zbl 0838.11036
Hida, Haruzo
1994
Hilbert modular forms and Iwasawa theory. Zbl 1122.11030
Hida, Haruzo
2006
On congruence divisors of cusp forms as factors of the special values of their zeta functions. Zbl 0472.10028
Hida, Haruzo
1981
Control theorems of coherent sheaves on Shimura varieties of PEL type. Zbl 1039.11041
Hida, Haruzo
2002
Nearly ordinary Hecke algebras and Galois representations of several variables. Zbl 0782.11017
Hida, Haruzo
1989
On $$p$$-adic L-functions of $$GL(2)\times GL(2)$$ over totally real fields. Zbl 0725.11025
Hida, Haruzo
1991
On nearly ordinary Hecke algebras for $$GL(2)$$ over totally real fields. Zbl 0742.11026
Hida, Haruzo
1989
A $$p$$-adic measure attached to the zeta functions associated with two elliptic modular forms. II. Zbl 0645.10028
Hida, Haruzo
1988
Non-abelian base change for totally real fields. Zbl 0942.11026
Hida, Haruzo; Maeda, Yoshitaka
1998
Modules of congruence of Hecke algebras and $$L$$-functions associated with cusp forms. Zbl 0645.10029
Hida, Haruzo
1988
The Iwasawa $$\mu$$-invariant of $$p$$-adic Hecke $$L$$-functions. Zbl 1223.11131
Hida, Haruzo
2010
On the anticyclotomic main conjecture for CM fields. Zbl 0819.11047
Hida, H.; Tilouine, J.
1994
On Abelian varieties with complex multiplication as factors of the Jacobians of Shimura curves. Zbl 0477.14024
Hida, Haruzo
1981
Discriminant of Hecke fields and twisted adjoint $$L$$-values for $$GL(2)$$. Zbl 0924.11035
Doi, Koji; Hida, Haruzo; Ishii, Hidenori
1998
$$p$$-ordinary cohomology groups for $$\text{SL}(2)$$ over number fields. Zbl 0941.11024
Hida, Haruzo
1993
Kummer’s criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms. Zbl 0485.10019
Hida, Haruzo
1982
Geometric modular forms and elliptic curves. Zbl 0960.11032
Hida, Haruzo
2000
Control theorems of $$p$$-nearly ordinary cohomology groups for $$\text{SL} (n)$$. Zbl 0852.11023
Hida, Haruzo
1995
Elliptic curves and arithmetic invariants. Zbl 1284.11001
Hida, Haruzo
2013
Automorphic induction and Leopoldt type conjectures for $$\text{GL}(n)$$. Zbl 0963.11027
Hida, Haruzo
1998
Geometric modular forms and elliptic curves. 2nd ed. Zbl 1254.11055
Hida, Haruzo
2012
Hecke fields of analytic families of modular forms. Zbl 1282.11058
Hida, Haruzo
2011
Irreducibility of the Igusa tower. Zbl 1235.11055
Hida, Haruzo
2009
Anticyclotomic main conjectures. Zbl 1200.11082
Hida, Haruzo
2007
$$p$$-adic Hecke algebras for $$GL(2)$$. Zbl 0819.11017
Hida, Haruzo
1994
Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication. Zbl 1284.14033
Hida, Haruzo
2013
On Selmer groups of adjoint modular Galois representations. Zbl 0924.11090
Hida, Haruzo
1996
On abelian varieties with complex multiplication as factors of the abelian variety attached to Hilbert modular forms. Zbl 0422.14026
Hida, Haruzo
1979
Non-vanishing modulo $$p$$ of Hecke $$L$$-values and application. Zbl 1156.11023
Hida, Haruzo
2007
$$p$$-adic automorphic forms on reductive groups. Zbl 1122.11026
Hida, Haruzo
2005
Non-vanishing modulo $$p$$ of Hecke $$L$$-values. Zbl 1162.11342
Hida, Haruzo
2004
Katz $$p$$-adic $$L$$-functions, congruence modules and deformation of Galois representations. Zbl 0739.11022
Hida, H.; Tilouine, J.
1991
Hecke algebras for $$GL_ 1$$ and $$GL_ 2$$. Zbl 0648.10020
Hida, Haruzo
1986
Constancy of adjoint $$\mathcal L$$-invariant. Zbl 1229.11061
Hida, Haruzo
2011
Quadratic exercises in Iwasawa theory. Zbl 1193.11103
Hida, Haruzo
2009
Adjoint Selmer groups as Iwasawa modules. Zbl 0991.11026
Hida, Haruzo
2000
Global quadratic units and Hecke algebras. Zbl 0923.11084
Hida, Haruzo
1998
Adjoint modular Galois representations and their Selmer groups. Zbl 0909.11025
Hida, Haruzo; Tilouine, Jacques; Urban, Eric
1997
On $$\Lambda$$-adic forms of half integral weight for $$\mathrm{SL}_2/\mathbb Q$$. Zbl 0838.11031
Hida, Haruzo
1995
On $$p$$-adic $$L$$-functions of $$GL(2) \times{} GL(2)$$ over totally real fields. Zbl 0739.11019
Hida, Haruzo
1991
Image of $$\varLambda$$-adic Galois representations modulo $$p$$. Zbl 1362.11055
Hida, Haruzo
2013
Vanishing of the $$\mu$$-invariant of $$p$$-adic Hecke $$L$$-functions. Zbl 1239.11120
Hida, Haruzo
2011
$$\mathcal L$$-invariants of Tate curves. Zbl 1244.11056
Hida, Haruzo
2009
Greenberg’s $$\mathcal L$$-invariants of adjoint square Galois representations. Zbl 1081.11039
Hida, Haruzo
2004
On the search of genuine $$p$$-adic modular $$L$$-functions for $$GL(n)$$. With a correction to: On $$p$$-adic $$L$$-functions of $$GL(2)\times{}GL(2)$$ over totally real fields. Zbl 0897.11015
Hida, Haruzo
1996
Modular $$p$$-adic $$L$$-functions and $$p$$-adic Hecke algebras. Zbl 0811.11040
Hida, Haruzo
1994
Theory of $$p$$-adic Hecke algebras and Galois representations. Zbl 0686.10023
Hida, Haruzo
1989
Theory of $$p$$-adic Hecke algebras and Galois representation. Zbl 0641.10025
Hida, Haruzo
1987
André-Oort conjecture and nonvanishing of central $$L$$-values over Hilbert class fields. Zbl 1391.11078
Burungale, Ashay A.; Hida, Haruzo
2016
Hecke fields of Hilbert modular analytic families. Zbl 1300.11034
Hida, Haruzo
2014
Irreducibility of the Igusa tower over unitary Shimura varieties. Zbl 1272.11081
Hida, Haruzo
2011
Central critical values of modular Hecke $$L$$-functions. Zbl 1271.11057
Hida, Haruzo
2010
Non-critical values of adjoint $$L$$-functions for SL(2). Zbl 0934.11027
Hida, Haruzo
1999
$$p$$-adic $$L$$-functions for base change lifts of $$\mathrm{GL}_ 2$$ to $$\mathrm{GL}_ 3$$. Zbl 0705.11033
Hida, Haruzo
1990
Congruences of cusp forms and Hecke algebras. Zbl 0575.10025
Hida, Haruzo
1985
$$\mathfrak p$$-rigidity and Iwasawa $$\mu$$-invariants. Zbl 1405.11083
Burungale, Ashay; Hida, Haruzo
2017
Arithmetic of adjoint $$L$$-values. Zbl 1418.11084
Hida, Haruzo
2016
Big image of Galois representations and congruence ideals. Zbl 1379.11047
Hida, Haruzo; Tilouine, Jacques
2015
Big Galois representations and $$p$$-adic $$L$$-functions. Zbl 1400.11106
Hida, Haruzo
2015
$$\Lambda$$-adic Barsotti-Tate groups. Zbl 1312.11033
Hida, Haruzo
2014
Transcendence of Hecke operators in the big Hecke algebra. Zbl 1334.11030
Hida, Haruzo
2014
A finiteness property of abelian varieties with potentially ordinary good reduction. Zbl 1248.14048
Hida, Haruzo
2012
Serre’s conjecture and base change for $$\text{GL}(2)$$. Zbl 1252.11089
Hida, Haruzo
2009
Automorphism groups of Shimura varieties. Zbl 1178.11049
Hida, Haruzo
2006
On p-adic Hecke algebras for $$GL_ 2$$. Zbl 0675.10019
Hida, Haruzo
1987
The integral basis problem of Eichler. Zbl 1162.11338
Hida, Haruzo
2005
Le produit de Petersson et de Rankin p-adique. (Petersson and p-adic Rankin products). Zbl 0721.11024
Hida, Haruzo
1990
On the values of Hecke’s $$L$$-functions at non-positive integers. Zbl 0371.12014
Hida, Haruzo
1978
$$\mathfrak p$$-rigidity and Iwasawa $$\mu$$-invariants. Zbl 1405.11083
Burungale, Ashay; Hida, Haruzo
2017
André-Oort conjecture and nonvanishing of central $$L$$-values over Hilbert class fields. Zbl 1391.11078
Burungale, Ashay A.; Hida, Haruzo
2016
Arithmetic of adjoint $$L$$-values. Zbl 1418.11084
Hida, Haruzo
2016
Big image of Galois representations and congruence ideals. Zbl 1379.11047
Hida, Haruzo; Tilouine, Jacques
2015
Big Galois representations and $$p$$-adic $$L$$-functions. Zbl 1400.11106
Hida, Haruzo
2015
Hecke fields of Hilbert modular analytic families. Zbl 1300.11034
Hida, Haruzo
2014
$$\Lambda$$-adic Barsotti-Tate groups. Zbl 1312.11033
Hida, Haruzo
2014
Transcendence of Hecke operators in the big Hecke algebra. Zbl 1334.11030
Hida, Haruzo
2014
Elliptic curves and arithmetic invariants. Zbl 1284.11001
Hida, Haruzo
2013
Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication. Zbl 1284.14033
Hida, Haruzo
2013
Image of $$\varLambda$$-adic Galois representations modulo $$p$$. Zbl 1362.11055
Hida, Haruzo
2013
Geometric modular forms and elliptic curves. 2nd ed. Zbl 1254.11055
Hida, Haruzo
2012
A finiteness property of abelian varieties with potentially ordinary good reduction. Zbl 1248.14048
Hida, Haruzo
2012
Hecke fields of analytic families of modular forms. Zbl 1282.11058
Hida, Haruzo
2011
Constancy of adjoint $$\mathcal L$$-invariant. Zbl 1229.11061
Hida, Haruzo
2011
Vanishing of the $$\mu$$-invariant of $$p$$-adic Hecke $$L$$-functions. Zbl 1239.11120
Hida, Haruzo
2011
Irreducibility of the Igusa tower over unitary Shimura varieties. Zbl 1272.11081
Hida, Haruzo
2011
The Iwasawa $$\mu$$-invariant of $$p$$-adic Hecke $$L$$-functions. Zbl 1223.11131
Hida, Haruzo
2010
Central critical values of modular Hecke $$L$$-functions. Zbl 1271.11057
Hida, Haruzo
2010
Irreducibility of the Igusa tower. Zbl 1235.11055
Hida, Haruzo
2009
Quadratic exercises in Iwasawa theory. Zbl 1193.11103
Hida, Haruzo
2009
$$\mathcal L$$-invariants of Tate curves. Zbl 1244.11056
Hida, Haruzo
2009
Serre’s conjecture and base change for $$\text{GL}(2)$$. Zbl 1252.11089
Hida, Haruzo
2009
Anticyclotomic main conjectures. Zbl 1200.11082
Hida, Haruzo
2007
Non-vanishing modulo $$p$$ of Hecke $$L$$-values and application. Zbl 1156.11023
Hida, Haruzo
2007
Hilbert modular forms and Iwasawa theory. Zbl 1122.11030
Hida, Haruzo
2006
Automorphism groups of Shimura varieties. Zbl 1178.11049
Hida, Haruzo
2006
$$p$$-adic automorphic forms on reductive groups. Zbl 1122.11026
Hida, Haruzo
2005
The integral basis problem of Eichler. Zbl 1162.11338
Hida, Haruzo
2005
$$p$$-adic automorphic forms on Shimura varieties. Zbl 1055.11032
Hida, Haruzo
2004
Non-vanishing modulo $$p$$ of Hecke $$L$$-values. Zbl 1162.11342
Hida, Haruzo
2004
Greenberg’s $$\mathcal L$$-invariants of adjoint square Galois representations. Zbl 1081.11039
Hida, Haruzo
2004
Control theorems of coherent sheaves on Shimura varieties of PEL type. Zbl 1039.11041
Hida, Haruzo
2002
Modular forms and Galois cohomology. Zbl 0952.11014
Hida, Haruzo
2000
Geometric modular forms and elliptic curves. Zbl 0960.11032
Hida, Haruzo
2000
Adjoint Selmer groups as Iwasawa modules. Zbl 0991.11026
Hida, Haruzo
2000
Non-critical values of adjoint $$L$$-functions for SL(2). Zbl 0934.11027
Hida, Haruzo
1999
Non-abelian base change for totally real fields. Zbl 0942.11026
Hida, Haruzo; Maeda, Yoshitaka
1998
Discriminant of Hecke fields and twisted adjoint $$L$$-values for $$GL(2)$$. Zbl 0924.11035
Doi, Koji; Hida, Haruzo; Ishii, Hidenori
1998
Automorphic induction and Leopoldt type conjectures for $$\text{GL}(n)$$. Zbl 0963.11027
Hida, Haruzo
1998
Global quadratic units and Hecke algebras. Zbl 0923.11084
Hida, Haruzo
1998
Adjoint modular Galois representations and their Selmer groups. Zbl 0909.11025
Hida, Haruzo; Tilouine, Jacques; Urban, Eric
1997
On Selmer groups of adjoint modular Galois representations. Zbl 0924.11090
Hida, Haruzo
1996
On the search of genuine $$p$$-adic modular $$L$$-functions for $$GL(n)$$. With a correction to: On $$p$$-adic $$L$$-functions of $$GL(2)\times{}GL(2)$$ over totally real fields. Zbl 0897.11015
Hida, Haruzo
1996
Control theorems of $$p$$-nearly ordinary cohomology groups for $$\text{SL} (n)$$. Zbl 0852.11023
Hida, Haruzo
1995
On $$\Lambda$$-adic forms of half integral weight for $$\mathrm{SL}_2/\mathbb Q$$. Zbl 0838.11031
Hida, Haruzo
1995
On the critical values of $$L$$-functions of $$GL(2)$$ and $$GL(2)\times GL(2)$$. Zbl 0838.11036
Hida, Haruzo
1994
On the anticyclotomic main conjecture for CM fields. Zbl 0819.11047
Hida, H.; Tilouine, J.
1994
$$p$$-adic Hecke algebras for $$GL(2)$$. Zbl 0819.11017
Hida, Haruzo
1994
Modular $$p$$-adic $$L$$-functions and $$p$$-adic Hecke algebras. Zbl 0811.11040
Hida, Haruzo
1994
Elementary theory of $$L$$-functions and Eisenstein series. Zbl 0942.11024
Hida, Haruzo
1993
Anti-cyclotomic Katz $$p$$-adic $$L$$-functions and congruence modules. Zbl 0778.11061
Hida, H.; Tilouine, J.
1993
$$p$$-ordinary cohomology groups for $$\text{SL}(2)$$ over number fields. Zbl 0941.11024
Hida, Haruzo
1993
On $$p$$-adic L-functions of $$GL(2)\times GL(2)$$ over totally real fields. Zbl 0725.11025
Hida, Haruzo
1991
Katz $$p$$-adic $$L$$-functions, congruence modules and deformation of Galois representations. Zbl 0739.11022
Hida, H.; Tilouine, J.
1991
On $$p$$-adic $$L$$-functions of $$GL(2) \times{} GL(2)$$ over totally real fields. Zbl 0739.11019
Hida, Haruzo
1991
$$p$$-adic $$L$$-functions for base change lifts of $$\mathrm{GL}_ 2$$ to $$\mathrm{GL}_ 3$$. Zbl 0705.11033
Hida, Haruzo
1990
Le produit de Petersson et de Rankin p-adique. (Petersson and p-adic Rankin products). Zbl 0721.11024
Hida, Haruzo
1990
Nearly ordinary Hecke algebras and Galois representations of several variables. Zbl 0782.11017
Hida, Haruzo
1989
On nearly ordinary Hecke algebras for $$GL(2)$$ over totally real fields. Zbl 0742.11026
Hida, Haruzo
1989
Theory of $$p$$-adic Hecke algebras and Galois representations. Zbl 0686.10023
Hida, Haruzo
1989
On p-adic Hecke algebras for $$GL_ 2$$ over totally real fields. Zbl 0658.10034
Hida, Haruzo
1988
A $$p$$-adic measure attached to the zeta functions associated with two elliptic modular forms. II. Zbl 0645.10028
Hida, Haruzo
1988
Modules of congruence of Hecke algebras and $$L$$-functions associated with cusp forms. Zbl 0645.10029
Hida, Haruzo
1988
Theory of $$p$$-adic Hecke algebras and Galois representation. Zbl 0641.10025
Hida, Haruzo
1987
On p-adic Hecke algebras for $$GL_ 2$$. Zbl 0675.10019
Hida, Haruzo
1987
Galois representations into $$\text{GL}_2(\mathbb Z_p[[X]])$$ attached to ordinary cusp forms. Zbl 0612.10021
Hida, Haruzo
1986
Iwasawa modules attached to congruences of cusp forms. Zbl 0607.10022
Hida, Haruzo
1986
Hecke algebras for $$GL_ 1$$ and $$GL_ 2$$. Zbl 0648.10020
Hida, Haruzo
1986
A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I. Zbl 0573.10020
Hida, Haruzo
1985
Congruences of cusp forms and Hecke algebras. Zbl 0575.10025
Hida, Haruzo
1985
Kummer’s criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms. Zbl 0485.10019
Hida, Haruzo
1982
Congruences of cusp forms and special values of their zeta functions. Zbl 0459.10018
Hida, Haruzo
1981
On congruence divisors of cusp forms as factors of the special values of their zeta functions. Zbl 0472.10028
Hida, Haruzo
1981
On Abelian varieties with complex multiplication as factors of the Jacobians of Shimura curves. Zbl 0477.14024
Hida, Haruzo
1981
On abelian varieties with complex multiplication as factors of the abelian variety attached to Hilbert modular forms. Zbl 0422.14026
Hida, Haruzo
1979
On the values of Hecke’s $$L$$-functions at non-positive integers. Zbl 0371.12014
Hida, Haruzo
1978
all top 5

#### Cited by 392 Authors

 32 Hida, Haruzo 11 Tilouine, Jacques 10 Klosin, Krzysztof 10 Panchishkin, Alexei A. 9 Burungale, Ashay A. 8 Urban, Eric 7 Berger, Tobias 7 Ghate, Eknath P. 7 Guerzhoy, Pavel I. 7 Hsieh, Ming-Lun 7 Longo, Matteo 7 Mazur, Barry 7 Rotger, Victor 7 Vatsal, Vinayak 6 Castella, Francesc 6 Darmon, Henri René 6 Dimitrov, Mladen 6 Dummigan, Neil 6 Lei, Antonio 6 Ochiai, Tadashi 6 Pilloni, Vincent 6 Skinner, Christopher M. 6 Sun, Hae-Sang 5 Bellaïche, Joël 5 Büyükboduk, Kâzim 5 Khare, Chandrashekhar 5 Şengün, Mehmet Haluk 5 Wiles, Andrew John 4 Andreatta, Fabrizio 4 Bertolini, Massimo 4 Delbourgo, Daniel 4 Diamond, Fred 4 Eischen, Ellen Elizabeth 4 Emerton, Matthew 4 Greenberg, Matthew 4 Iovita, Adrian 4 Katsurada, Hidenori 4 Nicole, Marc-Hubert 4 Ono, Ken 4 Rosso, Giovanni 4 Sharifi, Romyar T. 4 Weston, Tom 3 Balasubramanyam, Baskar 3 Bouganis, Thanasis 3 Brown, Jim L. 3 Chida, Masataka 3 Dasgupta, Samit 3 de Shalit, Ehud 3 Fouquet, Olivier 3 Fukaya, Takako 3 Gee, Toby 3 Gouvêa, Fernando Quadros 3 Harris, Michael Howard 3 Harron, Robert 3 Howard, Benjamin 3 James, Kevin 3 Lu, Xin 3 Mahnkopf, Joachim 3 Masdeu, Marc 3 Nakamura, Takashi 3 Pal, Aprameyo 3 Palvannan, Bharathwaj 3 Pollack, Robert 3 Saha, Jyoti Prakash 3 Salazar, Daniel Barrera 3 Sasaki, Shu 3 Seveso, Marco Adamo 3 Stevens, Glenn 3 Taylor, Richard Lawrence 3 Xue, Hui 3 Zuo, Kang 2 Agarwal, Mahesh 2 Ahlgren, Scott D. 2 Ash, Avner 2 Bandini, Andrea 2 Betina, Adel 2 Beyerl, Jeffrey J. 2 Brown, Alexander F. 2 Cais, Bryden 2 Calegari, Frank 2 Casazza, Daniele 2 Chen, Imin 2 Chen, Ke 2 Chen, Shih-Yu 2 Choi, Dohoon 2 Choie, YoungJu 2 Coleman, Robert Frederick 2 Conti, Andrea 2 de Vera-Piquero, Carlos 2 Dembélé, Lassina 2 Dieulefait, Luis Victor 2 Flach, Matthias 2 Geraghty, David 2 Goren, Eyal Z. 2 Greenberg, Ralph 2 Guitart, Xavier 2 Hansen, David 2 Heim, Bernhard Ernst 2 Hernandez, Valentin 2 Hirose, Minoru ...and 292 more Authors
all top 5

#### Cited in 85 Serials

 56 Journal of Number Theory 35 Inventiones Mathematicae 32 Compositio Mathematica 28 Annales de l’Institut Fourier 25 Duke Mathematical Journal 21 Mathematische Annalen 21 International Journal of Number Theory 14 Manuscripta Mathematica 12 Transactions of the American Mathematical Society 11 Journal de Théorie des Nombres de Bordeaux 10 Journal of the Institute of Mathematics of Jussieu 9 Mathematische Zeitschrift 9 Proceedings of the American Mathematical Society 8 Israel Journal of Mathematics 8 Advances in Mathematics 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Journal für die Reine und Angewandte Mathematik 8 The Ramanujan Journal 8 Annales Mathématiques du Québec 8 Research in the Mathematical Sciences 7 Mathematics of Computation 7 Documenta Mathematica 7 Kyoto Journal of Mathematics 6 Experimental Mathematics 6 Annals of Mathematics. Second Series 6 Forum of Mathematics, Sigma 5 Journal of Algebra 5 Journal of the American Mathematical Society 4 Journal of Algebraic Geometry 4 Selecta Mathematica. New Series 4 Algebra & Number Theory 3 Bulletin de la Société Mathématique de France 3 Journal of the Mathematical Society of Japan 3 Proceedings of the London Mathematical Society. Third Series 3 Tokyo Journal of Mathematics 3 Forum Mathematicum 3 Proceedings of the National Academy of Sciences of the United States of America 3 Research in Number Theory 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Canadian Journal of Mathematics 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of Pure and Applied Algebra 2 Mathematika 2 Proceedings of the Japan Academy. Series A 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Acta Mathematica Sinica. English Series 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Forum of Mathematics, Pi 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Applied Mathematics and Computation 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Applied Mathematics Letters 1 Journal of the Ramanujan Mathematical Society 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Aequationes Mathematicae 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales Mathématiques Blaise Pascal 1 The New York Journal of Mathematics 1 Geometry & Topology 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 LMS Journal of Computation and Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Noncommutative Geometry 1 Communications in Mathematics and Statistics 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the American Mathematical Society. Series B
all top 5

#### Cited in 25 Fields

 488 Number theory (11-XX) 94 Algebraic geometry (14-XX) 13 Topological groups, Lie groups (22-XX) 8 Group theory and generalizations (20-XX) 6 $$K$$-theory (19-XX) 5 Commutative algebra (13-XX) 4 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Functional analysis (46-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)

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