Edit Profile (opens in new tab) Vinogradov, Ivan Matveevich (b. 1891 d. 1983) Co-Author Distance Author ID: vinogradov.ivan-matveevich Published as: Vinogradov, I. M.; Vinogradow, I.; Vinogradow, I. M.; Vinogradoff, I. M.; Vinogradov, I.; Vinogradoff, I.; Vinogradov, Ivan Matveevich; Vinogradov, J. M.; Winogradow, I. M.; Winogradoff, J.; Winogradow, J. M.; Vinogradov, J. more...less Further Spellings: Winogradow, Iwan Matwejewitsch; Виноградов Иван Матвеевич External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 212 Publications since 1917, including 19 Books 6 Contributions as Editor · 4 Further Contributions Biographic References: 38 Publications Co-Authors: 5 Co-Authors with 9 Joint Publications 222 Co-Co-Authors all top 5 Co-Authors 207 single-authored 4 Karatsuba, Anatoliĭ Alekseevich 3 Krylov, Alekseĭ Nikolaevich 3 Lappo-Danilevskiĭ, Ivan Aleksandrovich 2 Bityutskov, V. I. 2 Davenport, Anne 2 Faddeev, Lyudvig Dmitrievich 2 Gamkrelidze, Revaz Valerianovich 2 Mardzhanishvili, Konstantin Konstantinovich 2 Mishchenko, Evgeniĭ Frolovich 2 Postnikov, Alekseĭ Georgievich 2 Prokhorov, Yuriĭ Vasil’evich 2 Roth, Klaus Friedrich 1 Bahturin, Yuri 1 Chebyshëv, Pafnutiĭ L’vovich 1 Gel’fond, Aleksandr Osipovich 1 Linnik, Yuriĭ Vladimirovich all top 5 Serials 55 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 43 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 22 Recueil Mathématique. Nouvelle Série 10 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 7 Recueil Mathématique 6 Annals of Mathematics. Second Series 6 Bulletin de l’Académie des Sciences de l’URSS. VII. Série 5 Translations. Series 2. American Mathematical Society 4 Bulletin de l’Académie des Sciences de l’Union des Républiques Soviétiques Socialistes. 6. Série 2 Transactions of the American Mathematical Society 2 Proceedings of the Steklov Institute of Mathematics 1 Doklady Akademii Nauk SSSR 1 Russian Mathematical Surveys 1 Bulletin of the American Mathematical Society 1 Doklady Akademii Nauk SSSR. Novaya Seriya 1 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, A 1 Chebyshevskiĭ Sbornik 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal de la Société de Physique et de Mathématique de l’Université de Perm 1 Springer Collected Works in Mathematics 1 Hochschulbücher für Mathematik all top 5 Fields 94 Number theory (11-XX) 8 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 1,083 times in 873 Documents Cited by ▼ Year ▼ Elements of number theory. Transl. from the 5th rev. ed. by S. Kravetz. Zbl 0057.28201 Vinogradov, I. M. 123 1954 The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504 Vinogradov, I. M. 91 1954 The method of trigonometrical sums in the theory of numbers. Translated from the Russian, revised and annotated by K. F. Roth and Anne Davenport. Reprint of the 1954 translation. Zbl 1093.11001 Vinogradov, I. M. 64 2004 Representation of an odd number as a sum of three primes. JFM 63.0131.04 Vinogradow, I. M. 62 1937 The method of trigonometrical sums in the theory of numbers. Zbl 0041.37002 Vinogradov, I. M. 56 1947 The method of trigonometric sums in number theory. 2nd ed., rev. and suppl. (Метод тригонометрических сумм в теории чисел.) Zbl 0561.10017 Vinogradov, I. M. 54 1980 Special variants of the method of trigonometric sums. (Osobye varianty metoda trigonometricheskikh summ). Zbl 0429.10023 Vinogradov, I. M. 49 1976 Eine neue Abschätzung der Funktion \(\zeta (1+it)\). Zbl 0097.26302 Vinogradov, I. M. 48 1958 Selected works. (Избранные труды.) Zbl 0048.03104 Vinogradov, I. M. 47 1952 The method of trigonometric sums in number theory. (Метод тригонометрических сумм в теории чисел.) Zbl 0229.10020 Vinogradov, I. M. 39 1971 Mémoires sur la théorie des systèmes des équations différentielles linéaires. I–III (en un volume). Avant propos par A. N. Krylov et I. M. Vinogradov, 1933. Zbl 0051.32301 Lappo-Danilevsky, J. A. 36 1953 Foundations of number theory. Textbook. 9th ed., revised and complemented. (Основы теории чисел. Учебник.) Zbl 0547.10001 Vinogradov, I. M. 30 1981 Representation of an odd number as a sum of three primes. Zbl 0016.29101 Vinogradow, I. M. 29 1937 On the number of integer points in a sphere. (Über die ganzen Punkte in der Kugel.) Zbl 0116.03901 Vinogradov, I. M. 27 1963 Some theorems concerning the theory of primes. Zbl 0017.19803 Vinogradov, I. M. 19 1937 Mathematical encyclopedia. Vol. 1: A–G. (Математическая ѐнциклопедия. Том 1: А–Г.) Zbl 0463.00032 17 1977 Mathematical encyclopedia. Vol. 3: Koo–Od. (Matematicheskaya èntsiklopediya. Tom 3: Koo-Od.) Zbl 0504.00049 14 1982 Nouvelles evaluations des sommes de Weyl. Zbl 0013.05303 Vinogradov, I. 13 1935 On a general theorem concerning the distribution of the residues and non-residues of powers. JFM 53.0124.03 Vinogradov, I. M. 12 1927 Mathematical encyclopedia. Vol. 2: D–Koo. (Математическая ѐнциклопедия. Том 2: Д–Коо.) Zbl 0463.00033 11 1979 On the bound of the least non-residue of \(n\)-th powers. JFM 53.0124.04 Vinogradov, I. M. 11 1927 Mathematical encyclopedia. Vol. 4: Ok–Slo. (Математическая ѐнциклопедия. Том 4: Ок–Сло.) Zbl 0547.00062 11 1984 On an estimate of trigonometric sums with prime numbers. Zbl 0033.16401 Vinogradov, I. M. 11 1948 Some theorems concerning the theory of primes. JFM 63.0131.05 Vinogradov, I. M. 10 1937 Mathematical encyclopedia. Vol. 5: Slu–Ya. (Математическая ѐнциклопедия. Том 5: Слу–Я.) Zbl 0564.00037 9 1985 Verbesserung einer Abschätzung für die Summe der Werte \(\chi(p+k)\). Zbl 0051.28102 Vinogradov, I. M. 9 1953 Abschätzung einer Summe über Primzahlen einer arithmetischen Progression. Zbl 0144.28303 Vinogradov, I. M. 9 1966 Zur Frage über die obere Schranke für \(G(n)\). Zbl 0089.02703 Vinogradov, I. M. 8 1959 Analytischer Beweis des Satzes über die Verteilung der Bruchteile eines Polynoms. JFM 53.0160.02 Vinogradov, I. M. 7 1927 A general property of prime numbers distribution. JFM 66.0163.02 Vinogradow, I. M. 7 1940 Selected works. Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday. Ed. by L. D. Faddeev, R. V. Gamkrelidze, A. A. Karatsuba, K. K. Mardzhanishvili and E. F. Mishchenko. Zbl 0577.01049 Vinogradov, Ivan Matveevich 7 1985 A new approach to the estimation of a sum of values of \(\chi(p+k)\). Zbl 0049.03204 Vinogradov, I. M. 7 1952 On the estimations of some simplest trigonometrical sums involving prime numbers. JFM 65.1159.04 Vinogradow, I. 6 1939 The method of trigonometric sums in number theory. Zbl 0549.10027 Vinogradov, I. M.; Karatsuba, A. A. 6 1984 Verbesserung der asymptotischen Formeln für die Anzahl der Gitterpunkte in Gebieten von drei Dimensionen. Zbl 0064.04304 Vinogradov, I. M. 6 1955 An improvement of the estimation of sums with primes. Zbl 0060.10907 Vinogradow, I. M. 6 1943 On the upper bound of \(G(n)\) in Waring’s problem. JFM 61.1061.02 Vinogradow, I. M. 5 1934 Some trigonometrical polynomes and their applications. JFM 59.0954.03 Vinogradow, I. 5 1933 Sur un théorème générale de Waring. JFM 50.0086.02 Vinogradov, I. M. 5 1924 Über eine asymptotische Formel aus der Theorie der binären quadratischen Formen. – Sur la distribution des résidus et des nonrésidus des puissances. – Über die Verteilung der quadratischen Reste und Nichtreste. JFM 48.1352.04 Vinogradov, I. M. 5 1918 A new estimate of a trigonometric sum containing primes. Zbl 0018.39002 Vinogradov, I. M. 5 1938 On the distribution of quadratic residues and nonresidues of the form \(p+k\) modulo a prime. (Распределение квадратичных вычетов и невычетов вида \(p+k\) по простому модулю.) Zbl 0019.15401 Vinogradov, I. M. 5 1938 General theorems on the upper bound of the modulus of a trigonometric sum.. Zbl 0042.04205 Vinogradov, I. M. 5 1951 Foundations of the theory of numbers. 7th revised edition. 7. verbesserte Aufl. (Основы теории чисел) (Grundlagen der Zahlentheorie.) Zbl 0124.02503 Vinogradov, I. M. 5 1965 Sur la moindre racine primitive. JFM 57.1358.03 Vinogradov, I. 4 1930 A general property of prime numbers distribution. Zbl 0024.01503 Vinogradow, I. M. 4 1940 A new estimate of a certain sum containing primes. Zbl 0017.38905 Vinogradov, I. M. 4 1937 New estimations of trigonometrical sums containing primes. Zbl 0017.39001 Vinogradov, I. M. 4 1937 Sur le théorème de Waring. JFM 55.0706.01 Vinogradov, I. M. 3 1928 Mémoires sur la théorie des systèmes des équations différentielles linéaires. I: Mémoires I–III. Zbl 0009.35003 Lappo-Danilevskij, J. A. 3 1934 Elements of number theory. (Elemente der Zahlentheorie.) Zbl 0065.27003 Winogradow, I. M. 3 1956 On a certain trigonometrical expression and its applications in the theory of numbers. Zbl 0008.30102 Vinogradow, I. 3 1933 A new solution of Waring’s problem. Zbl 0010.00902 Vinogradov, I. M. 3 1934 A new method in analytic number theory. (Новый метод в аналитической теории чисел) (Eine neue Methode in der analytischen Zahlentheorie.) Zbl 0019.15303 Vinogradov, I. M. 3 1937 A new method of estimation of trigonometric sums. Zbl 0014.20401 Vinogradov, I. M. 3 1936 An upper bound of the modulus of a trigonometric sum. Zbl 0052.28002 Vinogradov, I. M. 3 1950 Elemente der Zahlentheorie. Zbl 0070.03802 Winogradow, I. M. 3 1956 On the estimation of trigonometric sums. (Zur Frage der Abschätzung trigonometrischer Summen.) Zbl 0126.27905 Vinogradov, I. M. 3 1965 On the distribution of quadratic rests and non-rests of the form \(p + k\) to a prime modulus. JFM 64.0125.02 Vinogradow, I. 2 1938 Some general lemmas and their application to the estimation of trigonometrical sums. JFM 64.0982.02 Vinogradow, I. 2 1938 A new estimation of a trigonometrical sum containing primes. JFM 64.0983.01 Vinogradow, I. 2 1938 On the fractional parts of an integral polynomial. (Über die Bruchteile eines ganzen Polynoms.) JFM 52.0182.03 Vinogradov, I. M. 2 1926 On the mean value of the number of classes of binary quadratic forms of negative discriminant. (Über den mittleren Wert der Klassenanzahl der binären quadratischen Formen von negativer Determinante.) JFM 48.1352.03 Vinogradov, I. M. 2 1918 A new method of obtaining asymptotic expressions for arithmetical functions. (Eine neue Methode, die asymptotischen Ausdrücke der arithmetischen Funktionen zu finden.) JFM 48.1353.01 Vinogradov, I. M. 2 1917 The method of trigonometric sums in number theory. Zbl 0603.10037 Vinogradov, I. M.; Karatsuba, A. A. 2 1986 On the estimations of some simplest trigonometrical sums involving prime numbers. Zbl 0024.29303 Vinogradow, I. 2 1939 New applications of trigonometric polynomials. Zbl 0008.30202 Vinogradow, I. 2 1934 A new evaluation of \(G(n)\) in Waring’s problem. Zbl 0011.00803 Vinogradov, I. 2 1934 On asymptotic formula in Waring’s problem. Zbl 0014.29502 Vinogradow, I. 2 1936 Elementarer Beweis eines Satzes aus der Theorie der Primzahlen. Zbl 0053.02703 Vinogradov, I. M. 2 1953 Abschätzung einer trigonometrischen Summe nach Primzahlen. Zbl 0088.03902 Vinogradov, I. M. 2 1959 An estimate for a certain sum extended over the primes of an arithmetical progression. Zbl 0188.34902 Vinogradov, I. M. 2 1969 Improvement of the estimation of a trigonometrical sum containing primes. JFM 64.0983.02 Vinogradow, I. 1 1938 Estimations of trigonometrical sums. JFM 64.0984.02 Vinogradow, I. 1 1938 A new solution of Waring’s problem. JFM 60.0133.01 Vinogradow, I. 1 1934 Trigonometrical polynomials for complicated moduli. JFM 60.0150.02 Vinogradow, I. 1 1934 On some new problems of the theory of numbers. JFM 60.0940.04 Vinogradow, I. 1 1934 On a general theorem concerning the distribution of residues and non-residues of powers. JFM 52.0150.09 Vinogradov, I. M. 1 1926 Simplest trigonometrical sums with primes. JFM 65.1159.03 Vinogradow, I. 1 1939 New estimations of trigonometrical sums containing primes. JFM 63.0904.02 Vinogradow, I. M. 1 1937 A new estimation of a certain sum containing primes. JFM 63.0905.01 Vinogradow, I. 1 1937 A new method of estimation of trigonometrical sums. JFM 62.0179.05 Vinogradow, I. 1 1936 Anzahl der Gitterpunkte in der Kugel. JFM 61.0158.01 Vinogradow, I. M. 1 1935 Über eine Klasse simultaner diophantischer Gleichungen. JFM 56.0879.04 Vinogradov, J. 1 1929 On the mean value of the number of classes of properly primitive forms of negative determinant. (Sur la valeur moyenne du nombre des classes de formes primitives propres de déterminant négative.) JFM 47.0891.05 Winogradoff, J. 1 1917 On Waring’s problem. Zbl 0012.19603 Vinogradov, I. M. 1 1935 A new variant of proof of Waring’s theorem. (Une nouvelle variante de la démonstration du théorème de Waring.) Zbl 0010.39102 Vinogradov, I. M. 1 1935 Improvement of an estimate of a trigonometric sum containing primes. Zbl 0018.39003 Vinogradov, I. M. 1 1938 On Weyl’s sums. Zbl 0013.20003 Vinogradov, I. M. 1 1935 An asymptotic formula for the number of representations in Waring’s problem. Zbl 0013.20004 Vinogradov, I. M. 1 1935 Estimation of certain sums containing primes. Zbl 0022.31101 Vinogradow, I. M. 1 1938 Some new problems of the theory of primes. Zbl 0017.19804 Vinogradov, I. M. 1 1937 On the distribution of products of prime numbers and of the values of the Möbius function. (Über die Verteilung der Produkte von Primzahlen und der Werte der Möbiusschen Funktion.) Zbl 0033.16501 Vinogradov, I. M. 1 1948 Eine neue Vervollkommnung einer Methode zur Abschätzung von Doppelsummen. Zbl 0039.03802 Vinogradov, I. M. 1 1950 Verbesserung des Restgliedes einer asymptotischen Formel. Zbl 0039.03803 Vinogradov, I. M. 1 1949 New asymptotical expressions. Zbl 0008.30203 Vinogradow, I. 1 1934 Trigonometric polynomials for complicated moduli. Zbl 0008.30204 Vinogradow, I. 1 1934 Some theorems of the analytical theory of numbers. Zbl 0010.25003 Vinogradow, I. 1 1934 A new variant of the demonstration of Waring’s theorem. Zbl 0012.15003 Vinogradoff, I. M. 1 1935 Some general lemmas and their application to the estimation of trigonometrical sums. Zbl 0019.24901 Vinogradov, I. M. 1 1938 Gaussian sums and their application to the proof of quadratic reciprocity law. Zbl 1504.11005 Vinogradov, Ivan Matveevich 1 2021 The method of trigonometrical sums in the theory of numbers. Translated from the Russian, revised and annotated by K. F. Roth and Anne Davenport. Reprint of the 1954 translation. Zbl 1093.11001 Vinogradov, I. M. 64 2004 The method of trigonometric sums in number theory. Zbl 0603.10037 Vinogradov, I. M.; Karatsuba, A. A. 2 1986 Mathematical encyclopedia. Vol. 5: Slu–Ya. (Математическая ѐнциклопедия. Том 5: Слу–Я.) Zbl 0564.00037 9 1985 Selected works. Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday. Ed. by L. D. Faddeev, R. V. Gamkrelidze, A. A. Karatsuba, K. K. Mardzhanishvili and E. F. Mishchenko. Zbl 0577.01049 Vinogradov, Ivan Matveevich 7 1985 Mathematical encyclopedia. Vol. 4: Ok–Slo. (Математическая ѐнциклопедия. Том 4: Ок–Сло.) Zbl 0547.00062 11 1984 The method of trigonometric sums in number theory. Zbl 0549.10027 Vinogradov, I. M.; Karatsuba, A. A. 6 1984 Mathematical encyclopedia. Vol. 3: Koo–Od. (Matematicheskaya èntsiklopediya. Tom 3: Koo-Od.) Zbl 0504.00049 14 1982 Foundations of number theory. Textbook. 9th ed., revised and complemented. (Основы теории чисел. Учебник.) Zbl 0547.10001 Vinogradov, I. M. 30 1981 The method of trigonometric sums in number theory. 2nd ed., rev. and suppl. (Метод тригонометрических сумм в теории чисел.) Zbl 0561.10017 Vinogradov, I. M. 54 1980 Mathematical encyclopedia. Vol. 2: D–Koo. (Математическая ѐнциклопедия. Том 2: Д–Коо.) Zbl 0463.00033 11 1979 Mathematical encyclopedia. Vol. 1: A–G. (Математическая ѐнциклопедия. Том 1: А–Г.) Zbl 0463.00032 17 1977 Special variants of the method of trigonometric sums. (Osobye varianty metoda trigonometricheskikh summ). Zbl 0429.10023 Vinogradov, I. M. 49 1976 Recent works of I. M. Vinogradov. Zbl 0306.10018 Linnik, Yu. V. 1 1975 The method of trigonometric sums in number theory. (Метод тригонометрических сумм в теории чисел.) Zbl 0229.10020 Vinogradov, I. M. 39 1971 An estimate for a certain sum extended over the primes of an arithmetical progression. Zbl 0188.34902 Vinogradov, I. M. 2 1969 On the present state and the main directions of research in analytic number theory. Zbl 0153.37704 Vinogradov, I. M.; Postnikov, A. G. 1 1967 Abschätzung einer Summe über Primzahlen einer arithmetischen Progression. Zbl 0144.28303 Vinogradov, I. M. 9 1966 Foundations of the theory of numbers. 7th revised edition. 7. verbesserte Aufl. (Основы теории чисел) (Grundlagen der Zahlentheorie.) Zbl 0124.02503 Vinogradov, I. M. 5 1965 On the estimation of trigonometric sums. (Zur Frage der Abschätzung trigonometrischer Summen.) Zbl 0126.27905 Vinogradov, I. M. 3 1965 On the number of integer points in a sphere. (Über die ganzen Punkte in der Kugel.) Zbl 0116.03901 Vinogradov, I. M. 27 1963 On the number of integral points in a three-dimensional region. Zbl 0199.09302 Vinogradov, I. M. 1 1963 Zur Frage nach der Zahl der Gitterpunkte in einem vorgegebenen Bereich. Zbl 0097.26104 Vinogradov, I. M. 1 1960 On the number of integral points in a given domain. Zbl 0199.09303 Vinogradov, I. M. 1 1960 Zur Frage über die obere Schranke für \(G(n)\). Zbl 0089.02703 Vinogradov, I. M. 8 1959 Abschätzung einer trigonometrischen Summe nach Primzahlen. Zbl 0088.03902 Vinogradov, I. M. 2 1959 Eine neue Abschätzung der Funktion \(\zeta (1+it)\). Zbl 0097.26302 Vinogradov, I. M. 48 1958 On the \(\zeta (s)\) function. Zbl 0097.26301 Vinogradov, I. M. 1 1958 Elements of number theory. (Elemente der Zahlentheorie.) Zbl 0065.27003 Winogradow, I. M. 3 1956 Elemente der Zahlentheorie. Zbl 0070.03802 Winogradow, I. M. 3 1956 Verbesserung der asymptotischen Formeln für die Anzahl der Gitterpunkte in Gebieten von drei Dimensionen. Zbl 0064.04304 Vinogradov, I. M. 6 1955 Elements of number theory. Transl. from the 5th rev. ed. by S. Kravetz. Zbl 0057.28201 Vinogradov, I. M. 123 1954 The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504 Vinogradov, I. M. 91 1954 Mémoires sur la théorie des systèmes des équations différentielles linéaires. I–III (en un volume). Avant propos par A. N. Krylov et I. M. Vinogradov, 1933. Zbl 0051.32301 Lappo-Danilevsky, J. A. 36 1953 Verbesserung einer Abschätzung für die Summe der Werte \(\chi(p+k)\). Zbl 0051.28102 Vinogradov, I. M. 9 1953 Elementarer Beweis eines Satzes aus der Theorie der Primzahlen. Zbl 0053.02703 Vinogradov, I. M. 2 1953 Selected works. (Избранные труды.) Zbl 0048.03104 Vinogradov, I. M. 47 1952 A new approach to the estimation of a sum of values of \(\chi(p+k)\). Zbl 0049.03204 Vinogradov, I. M. 7 1952 General theorems on the upper bound of the modulus of a trigonometric sum.. Zbl 0042.04205 Vinogradov, I. M. 5 1951 An upper bound of the modulus of a trigonometric sum. Zbl 0052.28002 Vinogradov, I. M. 3 1950 Eine neue Vervollkommnung einer Methode zur Abschätzung von Doppelsummen. Zbl 0039.03802 Vinogradov, I. M. 1 1950 Verbesserung des Restgliedes einer asymptotischen Formel. Zbl 0039.03803 Vinogradov, I. M. 1 1949 Improvement of the remainder term of some asymptotic formulas. Zbl 0052.28001 Vinogradov, I. M. 1 1949 On an estimate of trigonometric sums with prime numbers. Zbl 0033.16401 Vinogradov, I. M. 11 1948 On the distribution of products of prime numbers and of the values of the Möbius function. (Über die Verteilung der Produkte von Primzahlen und der Werte der Möbiusschen Funktion.) Zbl 0033.16501 Vinogradov, I. M. 1 1948 The method of trigonometrical sums in the theory of numbers. Zbl 0041.37002 Vinogradov, I. M. 56 1947 An improvement of the estimation of sums with primes. Zbl 0060.10907 Vinogradow, I. M. 6 1943 An improvement of the estimation of trigonometrical sums. Zbl 0060.10905 Vinogradow, I. 1 1942 A general property of prime numbers distribution. JFM 66.0163.02 Vinogradow, I. M. 7 1940 A general property of prime numbers distribution. Zbl 0024.01503 Vinogradow, I. M. 4 1940 On the estimations of some simplest trigonometrical sums involving prime numbers. JFM 65.1159.04 Vinogradow, I. 6 1939 On the estimations of some simplest trigonometrical sums involving prime numbers. Zbl 0024.29303 Vinogradow, I. 2 1939 Simplest trigonometrical sums with primes. JFM 65.1159.03 Vinogradow, I. 1 1939 A new estimate of a trigonometric sum containing primes. Zbl 0018.39002 Vinogradov, I. M. 5 1938 On the distribution of quadratic residues and nonresidues of the form \(p+k\) modulo a prime. (Распределение квадратичных вычетов и невычетов вида \(p+k\) по простому модулю.) Zbl 0019.15401 Vinogradov, I. M. 5 1938 On the distribution of quadratic rests and non-rests of the form \(p + k\) to a prime modulus. JFM 64.0125.02 Vinogradow, I. 2 1938 Some general lemmas and their application to the estimation of trigonometrical sums. JFM 64.0982.02 Vinogradow, I. 2 1938 A new estimation of a trigonometrical sum containing primes. JFM 64.0983.01 Vinogradow, I. 2 1938 Improvement of the estimation of a trigonometrical sum containing primes. JFM 64.0983.02 Vinogradow, I. 1 1938 Estimations of trigonometrical sums. JFM 64.0984.02 Vinogradow, I. 1 1938 Improvement of an estimate of a trigonometric sum containing primes. Zbl 0018.39003 Vinogradov, I. M. 1 1938 Estimation of certain sums containing primes. Zbl 0022.31101 Vinogradow, I. M. 1 1938 Some general lemmas and their application to the estimation of trigonometrical sums. Zbl 0019.24901 Vinogradov, I. M. 1 1938 Representation of an odd number as a sum of three primes. JFM 63.0131.04 Vinogradow, I. M. 62 1937 Representation of an odd number as a sum of three primes. Zbl 0016.29101 Vinogradow, I. M. 29 1937 Some theorems concerning the theory of primes. Zbl 0017.19803 Vinogradov, I. M. 19 1937 Some theorems concerning the theory of primes. JFM 63.0131.05 Vinogradov, I. M. 10 1937 A new estimate of a certain sum containing primes. Zbl 0017.38905 Vinogradov, I. M. 4 1937 New estimations of trigonometrical sums containing primes. Zbl 0017.39001 Vinogradov, I. M. 4 1937 A new method in analytic number theory. (Новый метод в аналитической теории чисел) (Eine neue Methode in der analytischen Zahlentheorie.) Zbl 0019.15303 Vinogradov, I. M. 3 1937 New estimations of trigonometrical sums containing primes. JFM 63.0904.02 Vinogradow, I. M. 1 1937 A new estimation of a certain sum containing primes. JFM 63.0905.01 Vinogradow, I. 1 1937 Some new problems of the theory of primes. Zbl 0017.19804 Vinogradov, I. M. 1 1937 A new method of estimation of trigonometric sums. Zbl 0014.20401 Vinogradov, I. M. 3 1936 On asymptotic formula in Waring’s problem. Zbl 0014.29502 Vinogradow, I. 2 1936 A new method of estimation of trigonometrical sums. JFM 62.0179.05 Vinogradow, I. 1 1936 On the number of fractional parts of a polynom lying in a given interval. Zbl 0014.20304 Vinogradov, I. M. 1 1936 Nouvelles evaluations des sommes de Weyl. Zbl 0013.05303 Vinogradov, I. 13 1935 Anzahl der Gitterpunkte in der Kugel. JFM 61.0158.01 Vinogradow, I. M. 1 1935 On Waring’s problem. Zbl 0012.19603 Vinogradov, I. M. 1 1935 A new variant of proof of Waring’s theorem. (Une nouvelle variante de la démonstration du théorème de Waring.) Zbl 0010.39102 Vinogradov, I. M. 1 1935 On Weyl’s sums. Zbl 0013.20003 Vinogradov, I. M. 1 1935 An asymptotic formula for the number of representations in Waring’s problem. Zbl 0013.20004 Vinogradov, I. M. 1 1935 A new variant of the demonstration of Waring’s theorem. Zbl 0012.15003 Vinogradoff, I. M. 1 1935 On the upper bound of \(G(n)\) in Waring’s problem. JFM 61.1061.02 Vinogradow, I. M. 5 1934 Mémoires sur la théorie des systèmes des équations différentielles linéaires. I: Mémoires I–III. Zbl 0009.35003 Lappo-Danilevskij, J. A. 3 1934 A new solution of Waring’s problem. Zbl 0010.00902 Vinogradov, I. M. 3 1934 New applications of trigonometric polynomials. Zbl 0008.30202 Vinogradow, I. 2 1934 A new evaluation of \(G(n)\) in Waring’s problem. Zbl 0011.00803 Vinogradov, I. 2 1934 A new solution of Waring’s problem. JFM 60.0133.01 Vinogradow, I. 1 1934 Trigonometrical polynomials for complicated moduli. JFM 60.0150.02 Vinogradow, I. 1 1934 On some new problems of the theory of numbers. JFM 60.0940.04 Vinogradow, I. 1 1934 New asymptotical expressions. Zbl 0008.30203 Vinogradow, I. 1 1934 Trigonometric polynomials for complicated moduli. Zbl 0008.30204 Vinogradow, I. 1 1934 Some theorems of the analytical theory of numbers. Zbl 0010.25003 Vinogradow, I. 1 1934 Some trigonometrical polynomes and their applications. JFM 59.0954.03 Vinogradow, I. 5 1933 On a certain trigonometrical expression and its applications in the theory of numbers. Zbl 0008.30102 Vinogradow, I. 3 1933 Sur la moindre racine primitive. JFM 57.1358.03 Vinogradov, I. 4 1930 Über eine Klasse simultaner diophantischer Gleichungen. JFM 56.0879.04 Vinogradov, J. 1 1929 Sur le théorème de Waring. JFM 55.0706.01 Vinogradov, I. M. 3 1928 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 850 Authors 33 Shparlinski, Igor E. 28 Chubarikov, Vladimir Nikolaevich 21 Li, Jinjiang 21 Zhang, Min 14 Korolëv, Maksim Aleksandrovich 14 Wooley, Trevor D. 9 Rakhmonov, Zarullo Khusenovich 8 Banks, William David 8 Cai, Yingchun 8 Garaev, Moubariz Z. 8 Karatsuba, Anatoliĭ Alekseevich 8 Sárközy, András 7 Ataeva, O. M. 7 Nowak, Werner Georg 7 Serebryakov, V. A. 6 Bourgain, Jean 6 Fomenko, Oleg Mstislavovich 6 Guo, Victor Zhenyu 6 Kumchev, Angel V. 6 Liu, Jianya 6 Liu, Zhixin 6 Lu, Guangshi 6 Tuchkova, Natal’ya Pavlovna 6 Winterhof, Arne 5 Arkhipov, Gennadiĭ Ivanovich 5 Dimitrov, Stoyan Ivanov 5 Gritsenko, Sergeĭ Aleksandrovich 5 Harman, Glyn 5 Kundu, Debasis 5 Maier, Helmut 5 Mauduit, Christian 5 Mkaouar, Mohamed 5 Pintz, Janos 5 Rivat, Joël 5 Sankaranarayanan, Ayyadurai 5 Sarnak, Peter Clive 5 Steuding, Jörn 5 Tao, Terence 5 Tolev, Doychin I. 4 Akbal, Yıldırım 4 Avdeev, I. F. 4 Baier, Stephan 4 Balog, Antal 4 Bredikhin, Boris Maksimovich 4 Friedlander, John Benjamin 4 Jabbarov, Ilgar Shikar oglu 4 Karatsuba, Ekaterina Anatol’evna 4 Kátai, Imre 4 Konyagin, Sergeĭ Vladimirovich 4 Liu, Ming-Chit 4 Madritsch, Manfred G. 4 Mirek, Mariusz 4 Mitra, Amit 4 Mu, Quanwu 4 Rakhmonov, Firuz Zarulloevich 4 Stein, Elias Menachem 4 Technau, Marc 4 Thuswaldner, Jörg Maximilian 4 Tichy, Robert Franz 4 Tsang, Kai-Man 4 Vaughan, Robert C. 4 Wainger, Stephen 4 Wolke, Dieter 4 Zhai, Wenguang 4 Zhang, Wei 3 Brüdern, Jörg 3 Bykovskiĭ, Viktor Alekseevich 3 Changa, Maris Evgen’evich 3 Cochrane, Todd 3 Coleman, Mark D. 3 De Koninck, Jean-Marie 3 Deshouillers, Jean-Marc 3 Dufner, Gunter 3 Effinger, Gove W. 3 El-Mahassni, Edwin D. 3 Èminyan, Karapet Mkrtichevich 3 Erdős, Pál 3 Fouvry, Etienne 3 Green, Ben Joseph 3 Güloğlu, Ahmet Muhtar 3 Heath-Brown, Roger 3 Helfgott, Harald Andrés 3 Iwaniec, Henryk 3 Jiang, Yujiao 3 Karthick Babu, C. G. 3 Katz, Daniel J. 3 Kolesnik, Grigoriĭ Abramovich 3 Körner, Otto 3 Lahiri, Ananya 3 Leitmann, Dieter 3 Liu, Huafeng 3 Liu, Yuhui 3 Mot’kina, Natal’ya Nikolaevna 3 Murty, Maruti Ram 3 Perelli, Alberto 3 Ramaré, Olivier 3 Rassias, Michael Th. 3 Ren, Xiumin 3 Rieger, Georg Johann 3 Sander, Jürgen W. ...and 750 more Authors all top 5 Cited in 211 Serials 79 Journal of Number Theory 75 Mathematical Notes 30 Proceedings of the Steklov Institute of Mathematics 28 Chebyshevskiĭ Sbornik 20 Monatshefte für Mathematik 20 Acta Mathematica Hungarica 19 International Journal of Number Theory 17 The Ramanujan Journal 16 Doklady Mathematics 14 Mathematics of Computation 13 Mathematika 13 Proceedings of the American Mathematical Society 12 Moscow University Mathematics Bulletin 12 Journal of Soviet Mathematics 12 Journal de Théorie des Nombres de Bordeaux 10 Journal of Mathematical Analysis and Applications 10 Lithuanian Mathematical Journal 10 Journal of Mathematical Sciences (New York) 9 Bulletin of the Australian Mathematical Society 9 Israel Journal of Mathematics 9 Indagationes Mathematicae. 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Serie IV 2 Calcolo 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Journal of Multivariate Analysis 2 Manuscripta Mathematica 2 Numerische Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Tôhoku Mathematical Journal. Second Series 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Journal of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Designs, Codes and Cryptography 2 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 2 Linear Algebra and its Applications ...and 111 more Serials all top 5 Cited in 49 Fields 699 Number theory (11-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 28 Information and communication theory, circuits (94-XX) 27 Computer science (68-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Combinatorics (05-XX) 21 Partial differential equations (35-XX) 19 Numerical analysis (65-XX) 17 Group theory and generalizations (20-XX) 14 Probability theory and stochastic processes (60-XX) 13 Algebraic geometry (14-XX) 12 History and biography (01-XX) 10 Measure and integration (28-XX) 10 Approximations and expansions (41-XX) 10 Quantum theory (81-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Real functions (26-XX) 8 Special functions (33-XX) 7 Statistics (62-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 6 Functional analysis (46-XX) 6 Convex and discrete geometry (52-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 5 Geometry (51-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Mathematical logic and foundations (03-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operations research, mathematical programming (90-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Fluid mechanics (76-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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