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Vinogradov, Askol’d Ivanovich

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Author ID: vinogradov.askold-ivanovich Recent zbMATH articles by "Vinogradov, Askol’d Ivanovich"
Published as: Vinogradov, A. I.; Vinogradov, Askold Ivanovich; Vinogradov, A.
External Links: Wikidata · Math-Net.Ru · GND
Documents Indexed: 118 Publications since 1955, including 4 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 196 times in 168 Documents Cited by Year
Über die Dichtehypothese für die Dirichletschen L-Reihen. Zbl 0128.04205
Vinogradov, A. I.
27
1965
On number with small prime divisors. Zbl 0071.27004
Vinogradov, A. I.
17
1956
The zeta-function of the additive divisor problem and the spectral expansion of the automorphic Laplacian. Zbl 0536.10025
Vinogradov, A. I.; Takhtadzhyan, L. A.
12
1984
Theory of Eisenstein series for the group \(\mathrm{SL}(3,\mathbb{R})\) and its application to a binary problem. I: Fourier expansion of the highest Eisenstein series. Zbl 0434.10020
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1978
Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem. Zbl 0476.10024
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1982
Eine Abschätzung für die Summe der Anzahl der Teiler in einem kurzen Abschnitt einer arithmetischen Progression. Zbl 0080.26403
Vinogradov, A. I.; Linnik, Yu. V.
9
1957
Hyperelliptic curves and the least prime quadratic residue. Zbl 0148.02305
Vinogradov, A. I.; Linnik, Yu. V.
9
1966
On the binary Hardy-Littlewood problem. Zbl 0597.10048
Vinogradov, A. I.
7
1985
On the Linnik-Skubenko asymptotics. Zbl 0488.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
6
1980
Eine allgemeine Hardy-Littlewoodsche Gleichung. Zbl 0166.05202
Vinogradov, A. I.
5
1967
On analogues of the Vinogradov-Gauss formula. Zbl 0468.10022
Vinogradov, A. I.; Takhtadzhyan, L. A.
5
1980
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0468.10023
Takhtadzhyan, L. A.; Vinogradov, A. I.
5
1981
A shortened equation for convolutions. Zbl 0870.11054
Vinogradov, A. I.
4
1994
Über die Fortsetzbarkeit des Skalarprodukts Heckescher L-Reihen mit Größencharakteren in die linke Halbebene. Zbl 0126.27502
Vinogradov, A. I.
4
1965
Limit laws for arithmetic functions of J.B. Kubilius class \(H\), defined on the set of ’shifted’ primes. Zbl 0146.05204
Barban, M. B.; Vinogradov, A. I.; Levin, B. V.
4
1965
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0534.10039
Vinogradov, A. I.; Takhtadzhyan, L. A.
4
1984
Spectral decomposition of convolutions. Zbl 0870.11055
Vinogradov, A. I.
3
1994
Über ein ”fast binäres” Problem. Zbl 0072.27001
Vinogradov, A. I.
3
1956
Generalized summation formula for inhomogeneous convolution. Zbl 0758.11028
Bykovskii, V.; Kuznetsov, N.; Vinogradov, A.
3
1990
On extension to the left halfplane of the scalar product of Hecke L- series with magnitude characters. Zbl 0188.34702
Vinogradov, A. I.
3
1969
Analytic continuation of \(\zeta _ 3(s,k)\) in the critical strip. Arithmetical part. Zbl 0643.10024
Vinogradov, A. I.
3
1987
Nonhomogeneous Rankin convolutions. Zbl 0898.11015
Vinogradov, A. I.
2
1996
The asymptotic distribution of the norms of hyperbolic classes and spectral characteristics of cusp forms of weight zero for a Fuchsian group. Zbl 0414.30034
Venkov, A. B.; Vinogradov, A. I.
2
1978
On a symmetry property for sums with Dirichlet characters. (Über eine Symmetrieeigenschaft für Summen mit Dirichletschen Charakteren.) Zbl 0135.10501
Vinogradov, A. I.
2
1965
The zeta-function of the additive divisor problem and spectral decomposition of the automorphic Laplacian. Zbl 0609.10023
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1987
On representation of numbers by binary forms. Zbl 0164.35303
Vinogradov, A. I.; Sprindzhuk, V. G.
2
1968
The sieve method in algebraic fields. Lower bounds. (Die Siebmethode in algebraischen Zahlkörpern. Abschätzung von unten.) Zbl 0281.12003
Vinogradov, A. I.
2
1964
Artin L-series and his conjectures. Zbl 0293.12009
Vinogradov, A. I.
2
1971
Analogs of the Vinogradov-Gauss formula in the critical strip. Zbl 0483.12002
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1981
The Gauss-Hasse hypothesis on real quadratic fields with class number one. Zbl 0497.12004
Takhtadzhan, L. A.; Vinogradov, A. I.
2
1982
Convolutions. Spectral decompositions over different vertices. Zbl 0898.11019
Vinogradov, A. I.
1
1995
Convolutions. Comparison of spectral expansions at different vertices. Zbl 0898.11018
Vinogradov, A. I.
1
1995
Reflection operator and canonical basis. Zbl 1130.11320
Vinogradov, A. I.
1
2002
Application of \(\zeta(s)\) to the sieve of Eratosthenes. Zbl 0079.27205
Vinogradov, A. I.
1
1957
Letter to the editor: Application of \(\zeta(s)\) to the sieve of Eratosthenes. Zbl 0079.27206
Vinogradov, A. I.
1
1957
Eine Verallgemeinerung eines Lemmas von Erdős. Zbl 0102.03506
Vinogradov, A. I.
1
1960
Über die Idealklassenzahl und die Divisorenklassengruppe. Zbl 0116.02902
Vinogradov, A. I.
1
1963
The formula of Mertens. Zbl 0122.29503
Vinogradov, A. I.
1
1962
On the remainder term in Merten’s formula. Zbl 0128.04204
Vinogradov, A. I.
1
1963
Generalization of Kloosterman’s formula. Zbl 0128.27102
Vinogradov, A. I.
1
1962
Berichtigung zu der Arbeit von A.I. Vinogradov ’Über die Dichtehypothese für die Dirichletschen L-Reihen’. Zbl 0143.06302
Vinogradov, A. I.
1
1966
On a problem proposed by Hua Lo-Keng. Zbl 0147.03202
Vinogradov, A. I.
1
1963
Poincaré series in SL(3,\({\mathbb{R}})\). Zbl 0631.10014
Vinogradov, A. I.
1
1987
Nonhomogeneous convolutions. Zbl 0631.10030
Bykovskiĭ, V. A.; Vinogradov, A. I.
1
1987
Number-theoretic basis of the probabilistic theory of numbers. Zbl 0166.05702
Barban, M. B.; Vinogradov, A. I.
1
1964
Artin L-series and the adele group. Zbl 0293.12008
Vinogradov, A. I.
1
1971
The fourth moments of Dirichlet series. Zbl 0924.11072
Vinogradov, A. I.
1
1997
Comparison of spectra. Zbl 0924.11041
Vinogradov, A. I.
1
1996
An estimate of the residue of Rankin L-series. Zbl 0516.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1982
Analogues of the Vinogradov-Gauss formula in the critical strip. Zbl 0523.12011
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1983
On the cubic Gaussian sum. Zbl 0157.08903
Vinogradov, A. I.
1
1967
On the number of lattice points inside the sphere with variable center. Zbl 0436.10013
Vinogradov, A. I.; Skriganov, M. M.
1
1979
Estimates of Waldspurger’s series in a critical point. Zbl 0723.11023
Bykovskii, V. A.; Vinogradov, A. I.
1
1989
Reflection operator and canonical basis. Zbl 1130.11320
Vinogradov, A. I.
1
2002
The fourth moments of Dirichlet series. Zbl 0924.11072
Vinogradov, A. I.
1
1997
Nonhomogeneous Rankin convolutions. Zbl 0898.11015
Vinogradov, A. I.
2
1996
Comparison of spectra. Zbl 0924.11041
Vinogradov, A. I.
1
1996
Convolutions. Spectral decompositions over different vertices. Zbl 0898.11019
Vinogradov, A. I.
1
1995
Convolutions. Comparison of spectral expansions at different vertices. Zbl 0898.11018
Vinogradov, A. I.
1
1995
A shortened equation for convolutions. Zbl 0870.11054
Vinogradov, A. I.
4
1994
Spectral decomposition of convolutions. Zbl 0870.11055
Vinogradov, A. I.
3
1994
Generalized summation formula for inhomogeneous convolution. Zbl 0758.11028
Bykovskii, V.; Kuznetsov, N.; Vinogradov, A.
3
1990
Estimates of Waldspurger’s series in a critical point. Zbl 0723.11023
Bykovskii, V. A.; Vinogradov, A. I.
1
1989
Analytic continuation of \(\zeta _ 3(s,k)\) in the critical strip. Arithmetical part. Zbl 0643.10024
Vinogradov, A. I.
3
1987
The zeta-function of the additive divisor problem and spectral decomposition of the automorphic Laplacian. Zbl 0609.10023
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1987
Poincaré series in SL(3,\({\mathbb{R}})\). Zbl 0631.10014
Vinogradov, A. I.
1
1987
Nonhomogeneous convolutions. Zbl 0631.10030
Bykovskiĭ, V. A.; Vinogradov, A. I.
1
1987
On the binary Hardy-Littlewood problem. Zbl 0597.10048
Vinogradov, A. I.
7
1985
The zeta-function of the additive divisor problem and the spectral expansion of the automorphic Laplacian. Zbl 0536.10025
Vinogradov, A. I.; Takhtadzhyan, L. A.
12
1984
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0534.10039
Vinogradov, A. I.; Takhtadzhyan, L. A.
4
1984
Analogues of the Vinogradov-Gauss formula in the critical strip. Zbl 0523.12011
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1983
Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem. Zbl 0476.10024
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1982
The Gauss-Hasse hypothesis on real quadratic fields with class number one. Zbl 0497.12004
Takhtadzhan, L. A.; Vinogradov, A. I.
2
1982
An estimate of the residue of Rankin L-series. Zbl 0516.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1982
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0468.10023
Takhtadzhyan, L. A.; Vinogradov, A. I.
5
1981
Analogs of the Vinogradov-Gauss formula in the critical strip. Zbl 0483.12002
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1981
On the Linnik-Skubenko asymptotics. Zbl 0488.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
6
1980
On analogues of the Vinogradov-Gauss formula. Zbl 0468.10022
Vinogradov, A. I.; Takhtadzhyan, L. A.
5
1980
On the number of lattice points inside the sphere with variable center. Zbl 0436.10013
Vinogradov, A. I.; Skriganov, M. M.
1
1979
Theory of Eisenstein series for the group \(\mathrm{SL}(3,\mathbb{R})\) and its application to a binary problem. I: Fourier expansion of the highest Eisenstein series. Zbl 0434.10020
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1978
The asymptotic distribution of the norms of hyperbolic classes and spectral characteristics of cusp forms of weight zero for a Fuchsian group. Zbl 0414.30034
Venkov, A. B.; Vinogradov, A. I.
2
1978
Artin L-series and his conjectures. Zbl 0293.12009
Vinogradov, A. I.
2
1971
Artin L-series and the adele group. Zbl 0293.12008
Vinogradov, A. I.
1
1971
On extension to the left halfplane of the scalar product of Hecke L- series with magnitude characters. Zbl 0188.34702
Vinogradov, A. I.
3
1969
On representation of numbers by binary forms. Zbl 0164.35303
Vinogradov, A. I.; Sprindzhuk, V. G.
2
1968
Eine allgemeine Hardy-Littlewoodsche Gleichung. Zbl 0166.05202
Vinogradov, A. I.
5
1967
On the cubic Gaussian sum. Zbl 0157.08903
Vinogradov, A. I.
1
1967
Hyperelliptic curves and the least prime quadratic residue. Zbl 0148.02305
Vinogradov, A. I.; Linnik, Yu. V.
9
1966
Berichtigung zu der Arbeit von A.I. Vinogradov ’Über die Dichtehypothese für die Dirichletschen L-Reihen’. Zbl 0143.06302
Vinogradov, A. I.
1
1966
Über die Dichtehypothese für die Dirichletschen L-Reihen. Zbl 0128.04205
Vinogradov, A. I.
27
1965
Über die Fortsetzbarkeit des Skalarprodukts Heckescher L-Reihen mit Größencharakteren in die linke Halbebene. Zbl 0126.27502
Vinogradov, A. I.
4
1965
Limit laws for arithmetic functions of J.B. Kubilius class \(H\), defined on the set of ’shifted’ primes. Zbl 0146.05204
Barban, M. B.; Vinogradov, A. I.; Levin, B. V.
4
1965
On a symmetry property for sums with Dirichlet characters. (Über eine Symmetrieeigenschaft für Summen mit Dirichletschen Charakteren.) Zbl 0135.10501
Vinogradov, A. I.
2
1965
The sieve method in algebraic fields. Lower bounds. (Die Siebmethode in algebraischen Zahlkörpern. Abschätzung von unten.) Zbl 0281.12003
Vinogradov, A. I.
2
1964
Number-theoretic basis of the probabilistic theory of numbers. Zbl 0166.05702
Barban, M. B.; Vinogradov, A. I.
1
1964
Über die Idealklassenzahl und die Divisorenklassengruppe. Zbl 0116.02902
Vinogradov, A. I.
1
1963
On the remainder term in Merten’s formula. Zbl 0128.04204
Vinogradov, A. I.
1
1963
On a problem proposed by Hua Lo-Keng. Zbl 0147.03202
Vinogradov, A. I.
1
1963
The formula of Mertens. Zbl 0122.29503
Vinogradov, A. I.
1
1962
Generalization of Kloosterman’s formula. Zbl 0128.27102
Vinogradov, A. I.
1
1962
Eine Verallgemeinerung eines Lemmas von Erdős. Zbl 0102.03506
Vinogradov, A. I.
1
1960
Eine Abschätzung für die Summe der Anzahl der Teiler in einem kurzen Abschnitt einer arithmetischen Progression. Zbl 0080.26403
Vinogradov, A. I.; Linnik, Yu. V.
9
1957
Application of \(\zeta(s)\) to the sieve of Eratosthenes. Zbl 0079.27205
Vinogradov, A. I.
1
1957
Letter to the editor: Application of \(\zeta(s)\) to the sieve of Eratosthenes. Zbl 0079.27206
Vinogradov, A. I.
1
1957
On number with small prime divisors. Zbl 0071.27004
Vinogradov, A. I.
17
1956
Über ein ”fast binäres” Problem. Zbl 0072.27001
Vinogradov, A. I.
3
1956
all top 5

Cited by 161 Authors

15 Vinogradov, Askol’d Ivanovich
5 Fomenko, Oleg Mstislavovich
5 Gao, Peng
5 Golubeva, Elena P.
5 Zhao, Liangyi
4 Moroz, Boris Zelikovich Baruch ben Zelik
4 Timofeev, Nikolaĭ Mikhaĭlovich
3 Blomer, Valentin
3 Halupczok, Karin
3 Jung, Hwanyup
3 Kátai, Imre
3 Koval’chik, F. B.
3 Liu, Ming-Chit
3 Pintz, Janos
3 Proskurin, Nikolaĭ Vital’evich
3 Rakhmonov, Zarullo Khusenovich
2 Bredikhin, Boris Maksimovich
2 Fouvry, Etienne
2 Galambos, Janos
2 Harcos, Gergely
2 Jutila, Matti Ilmari
2 Korolëv, Maksim Aleksandrovich
2 Liu, Jianya
2 Maga, Péter
2 Motohashi, Yoichi
2 Pachev, Urusbi Mukhamedovich
2 Plaksin, V. A.
2 Stade, Eric
2 Takhtajan, Leon Armenovich
2 Wolke, Dieter
1 Aidarova, L. K.
1 Allakov, Ismail
1 Andrade, Julio Cesar
1 Avdeeva, M. O.
1 Bae, Sunghan
1 Balkanova, Ol’ga Germanovna
1 Barban, Mark Borisovich
1 Baudoin, Fabrice
1 Belova, N. N.
1 Berndt, Bruce Carl
1 Bordignon, Matteo
1 Brüdern, Jörg
1 Bump, Daniel
1 Buttcane, Jack
1 Bykovskiĭ, Viktor Alekseevich
1 Chandrasekharan, Komaravolu
1 Chiu, Shung-Fu
1 Christian, Ulrich
1 Cohen, Joseph
1 Dem’yanenko, V. A.
1 Dokhov, R. A.
1 Dutta Gupta, Shamita
1 Erdős, Pál
1 Evans, Ronald J.
1 Fainleib, A. S.
1 Fiorilli, Daniel
1 Friedberg, Solomon
1 Frolenkov, Dmitriĭ Andreevich
1 Gajgalas, E.
1 Gallagher, Patrick X.
1 Garaev, Moubariz Z.
1 Gerasimov, Anton A.
1 Gica, Alexandru
1 Goldfeld, Dorian Morris
1 Goldston, Daniel Alan
1 Good, Anton
1 Graham, Sidney W.
1 Granville, Andrew James
1 Gustafsson, Henrik P. A.
1 Habsieger, Laurent
1 Hejhal, Dennis A.
1 Hensley, Douglas
1 Hildebrand, Adolf J.
1 Hinz, Jürgen G.
1 Hirano, Miki
1 Hoffstein, Jeffrey
1 Huntley, Jonathan M.
1 Indlekofer, Karl-Heinz
1 Ismoilov, D. I.
1 Ivić, Aleksandar P.
1 Kačėnas, Audrius
1 Kaczorowski, Jerzy
1 Kang, Pyung-Lyun
1 Karatsuba, Anatoliĭ Alekseevich
1 Katsoulis, Elias George
1 Kawada, Koichi
1 Kawamoto, Fuminori
1 Kerr, Bryce
1 Kleinschmidt, Axel
1 Knapp, Wolfgang D.
1 Knightly, Andrew H.
1 Köcher, Markus
1 Kontorovich, Alex V.
1 Korevaar, Jacob
1 Kotov, Sergey V.
1 Kribs, David W.
1 Lagarias, Jeffrey C.
1 Laurinčikas, Antanas
1 Lavrik, A. F.
1 Lenstra, Hendrik W. jun.
...and 61 more Authors
all top 5

Cited in 57 Serials

23 Journal of Soviet Mathematics
18 Mathematical Notes
16 Journal of Number Theory
13 Journal of Mathematical Sciences (New York)
8 Lithuanian Mathematical Journal
6 Mathematische Zeitschrift
5 Transactions of the American Mathematical Society
4 Inventiones Mathematicae
4 Mathematische Annalen
3 Duke Mathematical Journal
3 Functiones et Approximatio. Commentarii Mathematici
3 Monatshefte für Mathematik
3 Journal de Théorie des Nombres de Bordeaux
3 Chebyshevskiĭ Sbornik
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Rocky Mountain Journal of Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Manuscripta Mathematica
2 Mathematika
2 Proceedings of the Japan Academy. Series A
2 Acta Mathematica Hungarica
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Steklov Institute of Mathematics
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematische Semesterberichte
1 Nuclear Physics. B
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Glasgow Mathematical Journal
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Tokyo Journal of Mathematics
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 New Zealand Journal of Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Experimental Mathematics
1 Sbornik: Mathematics
1 Bulletin of the American Mathematical Society
1 Proceedings of the Japan Academy
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Research in Number Theory
1 Korean Journal of Mathematics

Citations by Year

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