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Andrianov, Anatoliĭ Nikolaevich

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Author ID: andrianov.anatoli-n Recent zbMATH articles by "Andrianov, Anatoliĭ Nikolaevich"
Published as: Andrianov, A. N.; Andrianov, Anatoli; Andrianov, A.; Andrianov, Anatolii N.; Andrianov, Anatoli N.; Andrianov, Anatolij N.; Andrianov, Anotoli
Homepage: http://www.pdmi.ras.ru/eng/perso/andrianov.php
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Documents Indexed: 106 Publications since 1961, including 7 Books

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 453 times in 299 Documents Cited by Year
Quadratic forms and Hecke operators. Zbl 0613.10023
Andrianov, Anatolij N.
81
1987
Euler products corresponding to Siegel modular forms of genus 2. Zbl 0304.10021
Andrianov, A. N.
51
1974
Modular descent and the Saito-Kurokawa conjecture. Zbl 0414.10017
Andrianov, Anatolii N.
38
1979
Behavior of theta series of degree n under modular substitutions. Zbl 0326.10025
Andrianov, A. N.; Maloletkin, G. N.
27
1976
Modular forms and Hecke operators. Transl. from the Russian by Neal Koblitz. Zbl 0838.11032
Andrianov, A. N.; Zhuravlev, V. G.
21
1995
On the analytic properties of standard zeta functions of Siegel modular forms. Zbl 0417.10024
Andrianov, A. N.; Kalinin, V. L.
15
1979
The multiplicative arithmetic of Siegel modular forms. Zbl 0427.10017
Andrianov, A. N.
14
1979
Dirichlet series with Euler product in the theory of Siegel’s modular forms of genus two. Zbl 0224.10027
Andrianov, A. N.
14
1971
Spherical functions for GL\(_n\) over local fields, and summation of Hecke series. Zbl 0272.22008
Andrianov, A. N.
12
1971
Analytic properties of standard zeta-functions of Siegel modular forms. Zbl 0389.10023
Andrianov, A. N.; Kalinin, V. L.
11
1978
Introduction to Siegel modular forms and Dirichlet series. Zbl 1213.11105
Andrianov, Anatoli
11
2009
Multiplicative arithmetic of Siegel modular forms. Zbl 0418.10027
Andrianov, A. N.
10
1979
Computation of coefficients in transformation formulas of inhomogeneous theta series under the action of Hecke operators. Zbl 0627.10019
Andrianov, A. N.
9
1987
The behaviour of theta series of genus n for indefinite quadratic forms by modular substitutions. Zbl 0443.10023
Andrianov, A. N.; Maloletkin, G. N.
9
1978
Symmetric squares of zeta-functions of Siegel modular forms of genus 2. Zbl 0432.10012
Andrianov, A. N.
7
1976
Symmetries of harmonic theta-functions of integral quadratic forms. Zbl 0857.11020
Andrianov, A. N.
7
1995
Harmonic theta-functions and Hecke operators. Zbl 0873.11032
Andrianov, A. N.
7
1996
Euler expansions of theta-transforms of Siegel modular forms of degree n. Zbl 0412.10021
Andrianov, A. N.
6
1978
Composition of solutions of quadratic Diophantine equations. Zbl 0742.11021
Andrianov, A. N.
6
1991
Modular forms and Hecke operators. (Modulyarnye formy i operatory Gekke.) Zbl 0694.10028
Andrianov, A. N.; Zhuravlev, V. G.
6
1990
Action of Hecke operator \(T(p)\) on theta series. Zbl 0407.10021
Andrianov, Anatolii N.
5
1980
Factorizations of integral representations of binary quadratic forms. Zbl 0792.11011
Andrianov, A. N.
5
1993
Action of Hecke operators on inhomogeneous theta-series. Zbl 0613.10024
Andrianov, A. N.
5
1986
Das Verhalten der Thetareihen vom Geschlecht n bei modularen Substitutionen. Zbl 0316.10017
Andrianov, A. N.; Maloletkin, G. N.
5
1975
The representation of numbers by certain quadratic forms in connection with the theory of elliptic curves. Zbl 0166.05403
Andrianov, A. N.
5
1965
Eulersche Produkte, die einer Siegelschen Modulform vom Geschlecht 2 entsprechen. Zbl 0304.10020
Andrianov, A. N.
4
1974
On functional equations satisfied by spinor Euler products for Siegel modular forms of genus 2 with characters. Zbl 0998.11024
Andrianov, A.
4
2001
Rationality theorems for Hecke series and zeta functions of the groups \(GL_n\) and \(SP_n\) over local fields. Zbl 0236.20033
Andrianov, A. N.
4
1970
Interaction sums and action of Hecke operators on theta-series. Zbl 1187.11013
Andrianov, Anatoli
4
2009
Multiplicative properties of solutions of quadratic diophantine problems. Zbl 0694.10029
Andrianov, A. N.
3
1990
On the Ikeda lift. Zbl 1012.11036
Andrianov, A. N.
3
2001
Analytic arithmetic of quadratic forms with an odd number of variables, as connected with the theory of modular forms. Zbl 0133.29801
Andrianov, A. N.
3
1962
Zeta-functions of simple algebras with non-abelian characters. Zbl 0197.33002
Andrianov, A. N.
3
1968
Shimura’s conjecture for Siegel’s modular group of genus 3. Zbl 0167.07001
Andrianov, A. N.
3
1967
Dirichlet series with Euler product in the theory of Siegel modular forms of genus 2. Zbl 0259.10025
Andrianov, A. N.
2
1973
Zeta functions of orthogonal groups of integral positive-definite quadratic forms. Zbl 1178.11037
Andrianov, A. N.
2
2006
Duality in Siegel’s theorem on representations by a genus of quadratic forms, and the averaging operator. Zbl 0549.10014
Andrianov, A. N.
2
1985
On zeta-functions of Rankin type associated with Siegel modular forms. Zbl 0391.10025
Andrianov, A. N.
2
1977
On factorization of Hecke polynomials for the symplectic group of genus n. Zbl 0399.10029
Andrianov, A. N.
2
1977
Hecke operators and representations of binary quadratic forms. Zbl 0579.10012
Andrianov, A. N.
2
1985
Queen’s lectures on arithmetical composition of quadratic forms. Zbl 0820.11025
Andrianov, A. N.
2
1992
On mean squares in progressions of Fourier coefficients of cusp forms. Zbl 0174.08302
Andrianov, A. N.; Fomenko, O. M.
2
1965
Distribution of the norms of the hyperbolic elements of the modular group and the class number of indefinite binary quadratic forms. Zbl 0222.10025
Andrianov, A. N.; Fomenko, O. M.
2
1971
On interaction of Hecke-Shimura rings: symplectic versus orthogonal. Zbl 1320.11035
Andrianov, Anatoli
2
2012
On diagonalization of singular Frobenius operators on Siegel modular forms. Zbl 1049.11052
Andrianov, Anatoli
1
2003
Spherical theta series. Zbl 0633.10027
Andrianov, A. N.
1
1987
Hecke operators and representations of binary quadratic forms. Zbl 0544.10021
Andrianov, A. N.
1
1984
Euler expansions of theta-transformations of Siegel modular forms of genus n. Zbl 0389.10022
Andrianov, A. N.
1
1978
On the expansion of Hecke polynomials for the symplectic group of genus n. Zbl 0392.10029
Andrianov, A. N.
1
1977
Degenerations of rings of Hecke operators on spaces of theta series. Zbl 0518.10030
Andrianov, A. N.
1
1983
Automorphic factorizations of solutions of quadratic congruences and their applications. Zbl 0824.11020
Andrianov, A. N.
1
1993
Quadratic congruences and rationality of local zeta series of ternary and quaternary quadratic forms. Zbl 0824.11021
Andrianov, A. N.
1
1994
Representations of an even zeta function on theta series. Zbl 0609.10017
Andrianov, A. N.
1
1987
Action of Hecke operators on products of Igusa theta constants with rational characteristics. Zbl 1122.11031
Andrianov, Anatoli N.; Andrianov, Fedor A.
1
2004
The generalisation of a theorem of M. Eichler from the theory of quaternary quadratic forms. Zbl 0107.26803
Andrianov, A. N.
1
1961
On the representation of numbers by certain quadratic forms and the theory of elliptic curves. Zbl 0179.07302
Andrianov, A. N.
1
1968
Rationality of multiple Hecke series of a complete linear group and Shimura’s hypothesis on Hecke’s series of a symplectic group. Zbl 0191.51703
Andrianov, A. N.
1
1968
Action of Hecke operators on Maass theta series and zeta functions. Zbl 1206.11054
Andrianov, A. N.
1
2008
Twisting of Siegel modular forms with characters, and \(L\)-functions. Zbl 1206.11060
Andrianov, A.
1
2009
On interaction of Hecke-Shimura rings: symplectic versus orthogonal. Zbl 1320.11035
Andrianov, Anatoli
2
2012
Introduction to Siegel modular forms and Dirichlet series. Zbl 1213.11105
Andrianov, Anatoli
11
2009
Interaction sums and action of Hecke operators on theta-series. Zbl 1187.11013
Andrianov, Anatoli
4
2009
Twisting of Siegel modular forms with characters, and \(L\)-functions. Zbl 1206.11060
Andrianov, A.
1
2009
Action of Hecke operators on Maass theta series and zeta functions. Zbl 1206.11054
Andrianov, A. N.
1
2008
Zeta functions of orthogonal groups of integral positive-definite quadratic forms. Zbl 1178.11037
Andrianov, A. N.
2
2006
Action of Hecke operators on products of Igusa theta constants with rational characteristics. Zbl 1122.11031
Andrianov, Anatoli N.; Andrianov, Fedor A.
1
2004
On diagonalization of singular Frobenius operators on Siegel modular forms. Zbl 1049.11052
Andrianov, Anatoli
1
2003
On functional equations satisfied by spinor Euler products for Siegel modular forms of genus 2 with characters. Zbl 0998.11024
Andrianov, A.
4
2001
On the Ikeda lift. Zbl 1012.11036
Andrianov, A. N.
3
2001
Harmonic theta-functions and Hecke operators. Zbl 0873.11032
Andrianov, A. N.
7
1996
Modular forms and Hecke operators. Transl. from the Russian by Neal Koblitz. Zbl 0838.11032
Andrianov, A. N.; Zhuravlev, V. G.
21
1995
Symmetries of harmonic theta-functions of integral quadratic forms. Zbl 0857.11020
Andrianov, A. N.
7
1995
Quadratic congruences and rationality of local zeta series of ternary and quaternary quadratic forms. Zbl 0824.11021
Andrianov, A. N.
1
1994
Factorizations of integral representations of binary quadratic forms. Zbl 0792.11011
Andrianov, A. N.
5
1993
Automorphic factorizations of solutions of quadratic congruences and their applications. Zbl 0824.11020
Andrianov, A. N.
1
1993
Queen’s lectures on arithmetical composition of quadratic forms. Zbl 0820.11025
Andrianov, A. N.
2
1992
Composition of solutions of quadratic Diophantine equations. Zbl 0742.11021
Andrianov, A. N.
6
1991
Modular forms and Hecke operators. (Modulyarnye formy i operatory Gekke.) Zbl 0694.10028
Andrianov, A. N.; Zhuravlev, V. G.
6
1990
Multiplicative properties of solutions of quadratic diophantine problems. Zbl 0694.10029
Andrianov, A. N.
3
1990
Quadratic forms and Hecke operators. Zbl 0613.10023
Andrianov, Anatolij N.
81
1987
Computation of coefficients in transformation formulas of inhomogeneous theta series under the action of Hecke operators. Zbl 0627.10019
Andrianov, A. N.
9
1987
Spherical theta series. Zbl 0633.10027
Andrianov, A. N.
1
1987
Representations of an even zeta function on theta series. Zbl 0609.10017
Andrianov, A. N.
1
1987
Action of Hecke operators on inhomogeneous theta-series. Zbl 0613.10024
Andrianov, A. N.
5
1986
Duality in Siegel’s theorem on representations by a genus of quadratic forms, and the averaging operator. Zbl 0549.10014
Andrianov, A. N.
2
1985
Hecke operators and representations of binary quadratic forms. Zbl 0579.10012
Andrianov, A. N.
2
1985
Hecke operators and representations of binary quadratic forms. Zbl 0544.10021
Andrianov, A. N.
1
1984
Degenerations of rings of Hecke operators on spaces of theta series. Zbl 0518.10030
Andrianov, A. N.
1
1983
Action of Hecke operator \(T(p)\) on theta series. Zbl 0407.10021
Andrianov, Anatolii N.
5
1980
Modular descent and the Saito-Kurokawa conjecture. Zbl 0414.10017
Andrianov, Anatolii N.
38
1979
On the analytic properties of standard zeta functions of Siegel modular forms. Zbl 0417.10024
Andrianov, A. N.; Kalinin, V. L.
15
1979
The multiplicative arithmetic of Siegel modular forms. Zbl 0427.10017
Andrianov, A. N.
14
1979
Multiplicative arithmetic of Siegel modular forms. Zbl 0418.10027
Andrianov, A. N.
10
1979
Analytic properties of standard zeta-functions of Siegel modular forms. Zbl 0389.10023
Andrianov, A. N.; Kalinin, V. L.
11
1978
The behaviour of theta series of genus n for indefinite quadratic forms by modular substitutions. Zbl 0443.10023
Andrianov, A. N.; Maloletkin, G. N.
9
1978
Euler expansions of theta-transforms of Siegel modular forms of degree n. Zbl 0412.10021
Andrianov, A. N.
6
1978
Euler expansions of theta-transformations of Siegel modular forms of genus n. Zbl 0389.10022
Andrianov, A. N.
1
1978
On zeta-functions of Rankin type associated with Siegel modular forms. Zbl 0391.10025
Andrianov, A. N.
2
1977
On factorization of Hecke polynomials for the symplectic group of genus n. Zbl 0399.10029
Andrianov, A. N.
2
1977
On the expansion of Hecke polynomials for the symplectic group of genus n. Zbl 0392.10029
Andrianov, A. N.
1
1977
Behavior of theta series of degree n under modular substitutions. Zbl 0326.10025
Andrianov, A. N.; Maloletkin, G. N.
27
1976
Symmetric squares of zeta-functions of Siegel modular forms of genus 2. Zbl 0432.10012
Andrianov, A. N.
7
1976
Das Verhalten der Thetareihen vom Geschlecht n bei modularen Substitutionen. Zbl 0316.10017
Andrianov, A. N.; Maloletkin, G. N.
5
1975
Euler products corresponding to Siegel modular forms of genus 2. Zbl 0304.10021
Andrianov, A. N.
51
1974
Eulersche Produkte, die einer Siegelschen Modulform vom Geschlecht 2 entsprechen. Zbl 0304.10020
Andrianov, A. N.
4
1974
Dirichlet series with Euler product in the theory of Siegel modular forms of genus 2. Zbl 0259.10025
Andrianov, A. N.
2
1973
Dirichlet series with Euler product in the theory of Siegel’s modular forms of genus two. Zbl 0224.10027
Andrianov, A. N.
14
1971
Spherical functions for GL\(_n\) over local fields, and summation of Hecke series. Zbl 0272.22008
Andrianov, A. N.
12
1971
Distribution of the norms of the hyperbolic elements of the modular group and the class number of indefinite binary quadratic forms. Zbl 0222.10025
Andrianov, A. N.; Fomenko, O. M.
2
1971
Rationality theorems for Hecke series and zeta functions of the groups \(GL_n\) and \(SP_n\) over local fields. Zbl 0236.20033
Andrianov, A. N.
4
1970
Zeta-functions of simple algebras with non-abelian characters. Zbl 0197.33002
Andrianov, A. N.
3
1968
On the representation of numbers by certain quadratic forms and the theory of elliptic curves. Zbl 0179.07302
Andrianov, A. N.
1
1968
Rationality of multiple Hecke series of a complete linear group and Shimura’s hypothesis on Hecke’s series of a symplectic group. Zbl 0191.51703
Andrianov, A. N.
1
1968
Shimura’s conjecture for Siegel’s modular group of genus 3. Zbl 0167.07001
Andrianov, A. N.
3
1967
The representation of numbers by certain quadratic forms in connection with the theory of elliptic curves. Zbl 0166.05403
Andrianov, A. N.
5
1965
On mean squares in progressions of Fourier coefficients of cusp forms. Zbl 0174.08302
Andrianov, A. N.; Fomenko, O. M.
2
1965
Analytic arithmetic of quadratic forms with an odd number of variables, as connected with the theory of modular forms. Zbl 0133.29801
Andrianov, A. N.
3
1962
The generalisation of a theorem of M. Eichler from the theory of quaternary quadratic forms. Zbl 0107.26803
Andrianov, A. N.
1
1961
all top 5

Cited by 210 Authors

19 Andrianov, Anatoliĭ Nikolaevich
15 Böcherer, Siegfried
11 Katsurada, Hidenori
11 Mizumoto, Shin-ichiro
10 Krieg, Aloys
8 Kohnen, Winfried
8 Walling, Lynne H.
7 Fomenko, Oleg Mstislavovich
7 Heim, Bernhard Ernst
6 Brown, Jim L.
6 Pitale, Ameya
6 Raum, Martin
6 Richter, Olav K.
6 Schmidt, Ralf
5 Das, Soumya
5 Ibukiyama, Tomoyoshi
5 Kurokawa, Nobushige
5 Panchishkin, Alexei A.
5 Poor, Cris
5 Yuen, David S.
4 Freitag, Eberhard
4 Kitaoka, Yoshiyuki
4 Nagaoka, Shoyu
4 Ryan, Nathan C.
4 Salvati Manni, Riccardo
4 Schulze-Pillot, Rainer
4 Zhuravlev, Vladimir Georgievich
3 Bouganis, Thanasis
3 Chiera, Francesco Ludovico
3 Friedberg, Solomon
3 Furusawa, Masaaki
3 Kojima, Hisashi
3 Kudla, Stephen S.
3 Marzec, Jolanta
3 Oh, Byeong-Kweon
3 Paul, Biplab
3 Saha, Abhishek
2 Arakawa, Tsuneo
2 Bump, Daniel
2 Choie, YoungJu
2 Duke, William Drexel
2 Dummigan, Neil
2 Gallenkämper, Jonas
2 Ghitza, Alexandru
2 Golubeva, Elena P.
2 Gritsenko, Valeriĭ Alekseevich
2 Gun, Sanoli
2 Gunji, Keiichi
2 Harris, Michael Howard
2 Kajima, Yasuhiro
2 Kawamura, Hisa-Aki
2 Keaton, Rodney
2 Klosin, Krzysztof
2 Lippa, Erik A.
2 Maaß, Hans
2 Mercuri, Salvatore
2 Moon, Hyunsuk
2 Moriyama, Tomonori
2 Sengupta, Jyoti
2 Shemanske, Thomas R.
2 Skoruppa, Nils-Peter
2 Tsuyumine, Shigeaki
2 Vankov, Kirill A.
2 Yoshida, Hiroyuki
2 Zharkovskaya, N. A.
1 Agarwal, Mahesh
1 Anantharaman-Delaroche, Claire
1 Andrianov, Fedor A.
1 Ash, Avner
1 Banaszak, Grzegorz
1 Barowsky, Madeleine
1 Bochnak, Jacek
1 Breulmann, Stefan
1 Bringmann, Kathrin
1 Bruinier, Jan Hendrik
1 Brumer, Armand
1 Buecker, Karsten
1 Calegari, Frank
1 Cogdell, James W.
1 Conti, Andrea
1 Corwin, Lawrence J.
1 Damron, William
1 Dudko, Artem
1 Elstrodt, Jürgen
1 Endres, Rüdiger
1 Ensenbach, Marc
1 Evdokimov, Sergeĭ Alekseevich
1 Farmer, David W.
1 Feingold, Alex Jay
1 File, Daniel
1 Frenkel, Igor B.
1 Fretwell, Dan
1 Fujii, Akio
1 Funke, Jens
1 Gajda, Wojciech
1 Garrett, Paul Brittingham
1 Geraghty, David
1 Ginzburg, David
1 Grigorchuk, Rostislav Ivanovich
1 Grunewald, Fritz J.
...and 110 more Authors
all top 5

Cited in 67 Serials

30 Journal of Number Theory
26 Mathematische Annalen
22 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
19 Journal of Soviet Mathematics
16 Inventiones Mathematicae
16 Proceedings of the Japan Academy. Series A
15 Manuscripta Mathematica
13 Mathematische Zeitschrift
11 The Ramanujan Journal
11 International Journal of Number Theory
9 Journal of Mathematical Sciences (New York)
6 Duke Mathematical Journal
6 Nagoya Mathematical Journal
5 Compositio Mathematica
5 Proceedings of the American Mathematical Society
5 St. Petersburg Mathematical Journal
4 Annales de l’Institut Fourier
4 Kodai Mathematical Journal
4 Transactions of the American Mathematical Society
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Forum Mathematicum
3 Journal de Théorie des Nombres de Bordeaux
3 Kyoto Journal of Mathematics
2 Bulletin of the Australian Mathematical Society
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Advances in Mathematics
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Memoirs of the American Mathematical Society
2 Results in Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Journal of the European Mathematical Society (JEMS)
1 Modern Physics Letters A
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Acta Arithmetica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Advances in Applied Mathematics
1 Applied Mathematics Letters
1 International Journal of Mathematics
1 Designs, Codes and Cryptography
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Experimental Mathematics
1 Documenta Mathematica
1 Vietnam Journal of Mathematics
1 Acta Mathematica Sinica. English Series
1 Forum of Mathematics, Pi
1 Annales Mathématiques du Québec
1 Research in the Mathematical Sciences
1 Research in Number Theory

Citations by Year

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