Edit Profile (opens in new tab) Vinogradov, Ivan Matveevich Compute Distance To: Compute 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 5 Contributions as Editor · 4 Further Contributions Biographic References: 35 Publications Co-Authors: 4 Co-Authors with 8 Joint Publications 198 Co-Co-Authors all top 5 Co-Authors 208 single-authored 4 Karatsuba, Anatoliĭ Alekseevich 3 Lappo-Danilevskiĭ, Ivan Aleksandrovich 2 Bityutskov, V. I. 2 Faddeev, Lyudvig Dmitrievich 2 Gamkrelidze, Revaz Valerianovich 2 Krylov, Alekseĭ Nikolaevich 2 Mardzhanishvili, Konstantin Konstantinovich 2 Mishchenko, Evgeniĭ Frolovich 2 Postnikov, Alekseĭ Georgievich 2 Prokhorov, Yuriĭ Vasil’evich 1 Bahturin, Yuri 1 Davenport, Anne 1 Linnik, Yuriĭ Vladimirovich 1 Roth, Klaus Friedrich 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 Mathematique de l’Universite de Perm 1 Springer Collected Works in Mathematics 1 Hochschulbücher für Mathematik all top 5 Fields 87 Number theory (11-XX) 7 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 79 Publications have been cited 756 times in 638 Documents Cited by ▼ Year ▼ Elements of number theory. Transl. from the 5th rev. ed. by S. Kravetz. Zbl 0057.28201Vinogradov, I. M. 102 1954 The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504Vinogradov, I. M. 76 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 1093.11001Vinogradov, I. M. 49 2004 The method of trigonometrical sums in the theory of numbers. Zbl 0041.37002Vinogradov, I. M. 42 1947 Selected works. (Избранные труды.) Zbl 0048.03104Vinogradov, I. M. 39 1952 The method of trigonometric sums in number theory. (Metod trigonometricheskikh summ v teorii chisel). 2nd ed., rev. and suppl. Zbl 0561.10017Vinogradov, I. M. 38 1980 Special variants of the method of trigonometric sums. (Osobye varianty metoda trigonometricheskikh summ). Zbl 0429.10023Vinogradov, I. M. 37 1976 The method of trigonometric sums in number theory. (Metod trigonometricheskikh summ v teorii chisel.). Zbl 0229.10020Vinogradov, I. M. 35 1971 Representation of an odd number as a sum of three primes. JFM 63.0131.04Vinogradow, I. M. 33 1937 Eine neue Abschätzung der Funktion \(\zeta (1+it)\). Zbl 0097.26302Vinogradov, I. M. 30 1958 Foundations of number theory. Textbook. 9th ed., revised and complemented. (Основы теории чисел. Учебник.) Zbl 0547.10001Vinogradov, I. M. 29 1981 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 0051.32301Lappo-Danilevsky, J. A. 28 1953 On the number of integer points in a sphere. (Über die ganzen Punkte in der Kugel.) Zbl 0116.03901Vinogradov, I. M. 20 1963 Some theorems concerning the theory of primes. Zbl 0017.19803Vinogradov, I. M. 20 1937 Representation of an odd number as a sum of three primes. Zbl 0016.29101Vinogradow, I. M. 14 1937 Nouvelles evaluations des sommes de Weyl. Zbl 0013.05303Vinogradov, I. 11 1935 On an estimate of trigonometric sums with prime numbers. Zbl 0033.16401Vinogradov, I. M. 11 1948 On the bound of the least non-residue of \(n\)-th powers. JFM 53.0124.04Vinogradov, I. M. 11 1927 On a general theorem concerning the distribution of the residues and non-residues of powers. JFM 53.0124.03Vinogradov, I. M. 9 1927 Verbesserung einer Abschätzung für die Summe der Werte \(\chi(p+k)\). Zbl 0051.28102Vinogradov, I. M. 8 1953 Abschätzung einer Summe über Primzahlen einer arithmetischen Progression. Zbl 0144.28303Vinogradov, I. M. 6 1966 A new approach to the estimation of a sum of values of \(\chi(p+k)\). Zbl 0049.03204Vinogradov, I. M. 6 1952 Verbesserung der asymptotischen Formeln für die Anzahl der Gitterpunkte in Gebieten von drei Dimensionen. Zbl 0064.04304Vinogradov, I. M. 6 1955 The method of trigonometric sums in number theory. Zbl 0549.10027Vinogradov, I. M.; Karatsuba, A. A. 6 1984 Zur Frage über die obere Schranke für \(G(n)\). Zbl 0089.02703Vinogradov, I. M. 5 1959 Foundations of the theory of numbers. 7th revised edition. 7. verbesserte Aufl. (Основы теории чисел) (Grundlagen der Zahlentheorie.) Zbl 0124.02503Vinogradov, I. M. 5 1965 1. Über eine asymptotische Formel aus der Theorie der binären quadratischen Formen. 2. Sur la distribution des résidus et des nonrésidus des puissances. 3. Über die Verteilung der quadratischen Reste und Nichtreste. JFM 48.1352.04Vinogradov, I. M. 5 1918 Mathematical encyclopedia. Vol. 1: A–G. (Математическая ѐнциклопедия. Том 1: А–Г.) Zbl 0463.00032 4 1977 A new estimate of a certain sum containing primes. Zbl 0017.38905Vinogradov, I. M. 4 1937 New estimations of trigonometrical sums containing primes. Zbl 0017.39001Vinogradov, I. M. 4 1937 A new estimate of a trigonometric sum containing primes. Zbl 0018.39002Vinogradov, I. M. 4 1938 On the distribution of quadratic rests and non-rests of the form p+k to a prime modulus. Zbl 0019.15401Vinogradov, I. M. 4 1938 An improvement of the estimation of sums with primes. Zbl 0060.10907Vinogradow, I. M. 4 1943 On the upper bound of \(G(n)\) in Waring’s problem. JFM 61.1061.02Vinogradow, I. M. 4 1934 Sur la moindre racine primitive. JFM 57.1358.03Vinogradov, I. 4 1930 Analytischer Beweis des Satzes über die Verteilung der Bruchteile eines Polynoms. JFM 53.0160.02Vinogradov, I. M. 4 1927 Sur un théorème générale de Waring. JFM 50.0086.02Vinogradov, I. M. 4 1924 Mathematical encyclopedia. Vol. 3: Koo–Od. (Matematicheskaya èntsiklopediya. Tom 3: Koo-Od.) Zbl 0504.00049 3 1982 A general property of prime numbers distribution. JFM 66.0163.02Vinogradow, I. M. 3 1940 A new method of estimation of trigonometric sums. Zbl 0014.20401Vinogradov, I. M. 3 1936 A general property of prime numbers distribution. Zbl 0024.01503Vinogradow, I. M. 3 1940 General theorems on the upper bound of the modulus of a trigonometric sum.. Zbl 0042.04205Vinogradov, I. M. 3 1951 Elements of number theory. (Elemente der Zahlentheorie.) Zbl 0065.27003Winogradow, I. M. 3 1956 Some trigonometrical polynomes and their applications. JFM 59.0954.03Vinogradow, I. 3 1933 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 0577.01049Vinogradov, Ivan Matveevich 2 1985 On the estimation of trigonometric sums. (Zur Frage der Abschätzung trigonometrischer Summen.) Zbl 0126.27905Vinogradov, I. M. 2 1965 On a certain trigonometrical expression and its applications in the theory of numbers. Zbl 0008.30102Vinogradow, I. 2 1933 Mémoires sur la théorie des systèmes des équations différentielles linéaires. I: Mémoires I–III. Zbl 0009.35003Lappo-Danilevskij, J. A. 2 1934 A new solution of Waring’s problem. Zbl 0010.00902Vinogradov, I. M. 2 1934 An upper bound of the modulus of a trigonometric sum. Zbl 0052.28002Vinogradov, I. M. 2 1950 Elemente der Zahlentheorie. Zbl 0070.03802Winogradow, I. M. 2 1956 Some theorems concerning the theory of primes. JFM 63.0131.05Vinogradov, I. M. 2 1937 Mathematical encyclopedia. Vol. 4: Ok–Slo. (Математическая ѐнциклопедия. Том 4: Ок–Сло.) Zbl 0547.00062 2 1984 The method of trigonometric sums in number theory. Zbl 0603.10037Vinogradov, I. M.; Karatsuba, A. A. 1 1986 Mathematical encyclopedia. Vol. 2: D–Koo. (Математическая ѐнциклопедия. Том 2: Д–Коо.) Zbl 0463.00033 1 1979 Zur Frage nach der Zahl der Gitterpunkte in einem vorgegebenen Bereich. Zbl 0097.26104Vinogradov, I. M. 1 1960 On the \(\zeta (s)\) function. Zbl 0097.26301Vinogradov, I. M. 1 1958 On the present state and the main directions of research in analytic number theory. Zbl 0153.37704Vinogradov, I. M.; Postnikov, A. G. 1 1967 On the number of integral points in a given domain. Zbl 0199.09303Vinogradov, I. M. 1 1960 New applications of trigonometric polynomials. Zbl 0008.30202Vinogradow, I. 1 1934 Trigonometric polynomials for complicated moduli. Zbl 0008.30204Vinogradow, I. 1 1934 A new evaluation of \(G(n)\) in Waring’s problem. Zbl 0011.00803Vinogradov, I. 1 1934 On the number of fractional parts of a polynom lying in a given interval. Zbl 0014.20304Vinogradov, I. M. 1 1936 Some new problems of the theory of primes. Zbl 0017.19804Vinogradov, I. M. 1 1937 Improvement of an estimate of a trigonometric sum containing primes. Zbl 0018.39003Vinogradov, I. M. 1 1938 On the estimations of some simplest trigonometrical sums involving prime numbers. Zbl 0024.29303Vinogradow, I. 1 1939 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 0033.16501Vinogradov, I. M. 1 1948 Eine neue Vervollkommnung einer Methode zur Abschätzung von Doppelsummen. Zbl 0039.03802Vinogradov, I. M. 1 1950 Improvement of the remainder term of some asymptotic formulas. Zbl 0052.28001Vinogradov, I. M. 1 1949 On some new problems of the theory of numbers. JFM 60.0940.04Vinogradow, I. 1 1934 Über eine Klasse simultaner diophantischer Gleichungen. JFM 56.0879.04Vinogradov, J. 1 1929 Sur le théorème de Waring. JFM 55.0706.01Vinogradov, I. M. 1 1928 On a general theorem concerning the distribution of residues and non-residues of powers. JFM 52.0150.09Vinogradov, I. M. 1 1926 On the fractional parts of an integral polynomial. (Über die Bruchteile eines ganzen Polynoms.) JFM 52.0182.03Vinogradov, I. M. 1 1926 Simplest trigonometrical sums with primes. JFM 65.1159.03Vinogradow, I. 1 1939 Some general lemmas and their application to the estimation of trigonometrical sums. JFM 64.0982.02Vinogradow, I. 1 1938 A new estimation of a trigonometrical sum containing primes. JFM 64.0983.01Vinogradow, I. 1 1938 Estimations of trigonometrical sums. JFM 64.0984.02Vinogradow, I. 1 1938 New estimations of trigonometrical sums containing primes. JFM 63.0904.02Vinogradow, I. M. 1 1937 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 1093.11001Vinogradov, I. M. 49 2004 The method of trigonometric sums in number theory. Zbl 0603.10037Vinogradov, I. M.; Karatsuba, A. A. 1 1986 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 0577.01049Vinogradov, Ivan Matveevich 2 1985 The method of trigonometric sums in number theory. Zbl 0549.10027Vinogradov, I. M.; Karatsuba, A. A. 6 1984 Mathematical encyclopedia. Vol. 4: Ok–Slo. (Математическая ѐнциклопедия. Том 4: Ок–Сло.) Zbl 0547.00062 2 1984 Mathematical encyclopedia. Vol. 3: Koo–Od. (Matematicheskaya èntsiklopediya. Tom 3: Koo-Od.) Zbl 0504.00049 3 1982 Foundations of number theory. Textbook. 9th ed., revised and complemented. (Основы теории чисел. Учебник.) Zbl 0547.10001Vinogradov, I. M. 29 1981 The method of trigonometric sums in number theory. (Metod trigonometricheskikh summ v teorii chisel). 2nd ed., rev. and suppl. Zbl 0561.10017Vinogradov, I. M. 38 1980 Mathematical encyclopedia. Vol. 2: D–Koo. (Математическая ѐнциклопедия. Том 2: Д–Коо.) Zbl 0463.00033 1 1979 Mathematical encyclopedia. Vol. 1: A–G. (Математическая ѐнциклопедия. Том 1: А–Г.) Zbl 0463.00032 4 1977 Special variants of the method of trigonometric sums. (Osobye varianty metoda trigonometricheskikh summ). Zbl 0429.10023Vinogradov, I. M. 37 1976 The method of trigonometric sums in number theory. (Metod trigonometricheskikh summ v teorii chisel.). Zbl 0229.10020Vinogradov, I. M. 35 1971 On the present state and the main directions of research in analytic number theory. Zbl 0153.37704Vinogradov, I. M.; Postnikov, A. G. 1 1967 Abschätzung einer Summe über Primzahlen einer arithmetischen Progression. Zbl 0144.28303Vinogradov, I. M. 6 1966 Foundations of the theory of numbers. 7th revised edition. 7. verbesserte Aufl. (Основы теории чисел) (Grundlagen der Zahlentheorie.) Zbl 0124.02503Vinogradov, I. M. 5 1965 On the estimation of trigonometric sums. (Zur Frage der Abschätzung trigonometrischer Summen.) Zbl 0126.27905Vinogradov, I. M. 2 1965 On the number of integer points in a sphere. (Über die ganzen Punkte in der Kugel.) Zbl 0116.03901Vinogradov, I. M. 20 1963 Zur Frage nach der Zahl der Gitterpunkte in einem vorgegebenen Bereich. Zbl 0097.26104Vinogradov, I. M. 1 1960 On the number of integral points in a given domain. Zbl 0199.09303Vinogradov, I. M. 1 1960 Zur Frage über die obere Schranke für \(G(n)\). Zbl 0089.02703Vinogradov, I. M. 5 1959 Eine neue Abschätzung der Funktion \(\zeta (1+it)\). Zbl 0097.26302Vinogradov, I. M. 30 1958 On the \(\zeta (s)\) function. Zbl 0097.26301Vinogradov, I. M. 1 1958 Elements of number theory. (Elemente der Zahlentheorie.) Zbl 0065.27003Winogradow, I. M. 3 1956 Elemente der Zahlentheorie. Zbl 0070.03802Winogradow, I. M. 2 1956 Verbesserung der asymptotischen Formeln für die Anzahl der Gitterpunkte in Gebieten von drei Dimensionen. Zbl 0064.04304Vinogradov, I. M. 6 1955 Elements of number theory. Transl. from the 5th rev. ed. by S. Kravetz. Zbl 0057.28201Vinogradov, I. M. 102 1954 The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504Vinogradov, I. M. 76 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 0051.32301Lappo-Danilevsky, J. A. 28 1953 Verbesserung einer Abschätzung für die Summe der Werte \(\chi(p+k)\). Zbl 0051.28102Vinogradov, I. M. 8 1953 Selected works. (Избранные труды.) Zbl 0048.03104Vinogradov, I. M. 39 1952 A new approach to the estimation of a sum of values of \(\chi(p+k)\). Zbl 0049.03204Vinogradov, I. M. 6 1952 General theorems on the upper bound of the modulus of a trigonometric sum.. Zbl 0042.04205Vinogradov, I. M. 3 1951 An upper bound of the modulus of a trigonometric sum. Zbl 0052.28002Vinogradov, I. M. 2 1950 Eine neue Vervollkommnung einer Methode zur Abschätzung von Doppelsummen. Zbl 0039.03802Vinogradov, I. M. 1 1950 Improvement of the remainder term of some asymptotic formulas. Zbl 0052.28001Vinogradov, I. M. 1 1949 On an estimate of trigonometric sums with prime numbers. Zbl 0033.16401Vinogradov, 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 0033.16501Vinogradov, I. M. 1 1948 The method of trigonometrical sums in the theory of numbers. Zbl 0041.37002Vinogradov, I. M. 42 1947 An improvement of the estimation of sums with primes. Zbl 0060.10907Vinogradow, I. M. 4 1943 A general property of prime numbers distribution. JFM 66.0163.02Vinogradow, I. M. 3 1940 A general property of prime numbers distribution. Zbl 0024.01503Vinogradow, I. M. 3 1940 On the estimations of some simplest trigonometrical sums involving prime numbers. Zbl 0024.29303Vinogradow, I. 1 1939 Simplest trigonometrical sums with primes. JFM 65.1159.03Vinogradow, I. 1 1939 A new estimate of a trigonometric sum containing primes. Zbl 0018.39002Vinogradov, I. M. 4 1938 On the distribution of quadratic rests and non-rests of the form p+k to a prime modulus. Zbl 0019.15401Vinogradov, I. M. 4 1938 Improvement of an estimate of a trigonometric sum containing primes. Zbl 0018.39003Vinogradov, I. M. 1 1938 Some general lemmas and their application to the estimation of trigonometrical sums. JFM 64.0982.02Vinogradow, I. 1 1938 A new estimation of a trigonometrical sum containing primes. JFM 64.0983.01Vinogradow, I. 1 1938 Estimations of trigonometrical sums. JFM 64.0984.02Vinogradow, I. 1 1938 Representation of an odd number as a sum of three primes. JFM 63.0131.04Vinogradow, I. M. 33 1937 Some theorems concerning the theory of primes. Zbl 0017.19803Vinogradov, I. M. 20 1937 Representation of an odd number as a sum of three primes. Zbl 0016.29101Vinogradow, I. M. 14 1937 A new estimate of a certain sum containing primes. Zbl 0017.38905Vinogradov, I. M. 4 1937 New estimations of trigonometrical sums containing primes. Zbl 0017.39001Vinogradov, I. M. 4 1937 Some theorems concerning the theory of primes. JFM 63.0131.05Vinogradov, I. M. 2 1937 Some new problems of the theory of primes. Zbl 0017.19804Vinogradov, I. M. 1 1937 New estimations of trigonometrical sums containing primes. JFM 63.0904.02Vinogradow, I. M. 1 1937 A new method of estimation of trigonometric sums. Zbl 0014.20401Vinogradov, I. M. 3 1936 On the number of fractional parts of a polynom lying in a given interval. Zbl 0014.20304Vinogradov, I. M. 1 1936 Nouvelles evaluations des sommes de Weyl. Zbl 0013.05303Vinogradov, I. 11 1935 On the upper bound of \(G(n)\) in Waring’s problem. JFM 61.1061.02Vinogradow, I. M. 4 1934 Mémoires sur la théorie des systèmes des équations différentielles linéaires. I: Mémoires I–III. Zbl 0009.35003Lappo-Danilevskij, J. A. 2 1934 A new solution of Waring’s problem. Zbl 0010.00902Vinogradov, I. M. 2 1934 New applications of trigonometric polynomials. Zbl 0008.30202Vinogradow, I. 1 1934 Trigonometric polynomials for complicated moduli. Zbl 0008.30204Vinogradow, I. 1 1934 A new evaluation of \(G(n)\) in Waring’s problem. Zbl 0011.00803Vinogradov, I. 1 1934 On some new problems of the theory of numbers. JFM 60.0940.04Vinogradow, I. 1 1934 Some trigonometrical polynomes and their applications. JFM 59.0954.03Vinogradow, I. 3 1933 On a certain trigonometrical expression and its applications in the theory of numbers. Zbl 0008.30102Vinogradow, I. 2 1933 Sur la moindre racine primitive. JFM 57.1358.03Vinogradov, I. 4 1930 Über eine Klasse simultaner diophantischer Gleichungen. JFM 56.0879.04Vinogradov, J. 1 1929 Sur le théorème de Waring. JFM 55.0706.01Vinogradov, I. M. 1 1928 On the bound of the least non-residue of \(n\)-th powers. JFM 53.0124.04Vinogradov, I. M. 11 1927 On a general theorem concerning the distribution of the residues and non-residues of powers. JFM 53.0124.03Vinogradov, I. M. 9 1927 Analytischer Beweis des Satzes über die Verteilung der Bruchteile eines Polynoms. JFM 53.0160.02Vinogradov, I. M. 4 1927 On a general theorem concerning the distribution of residues and non-residues of powers. JFM 52.0150.09Vinogradov, I. M. 1 1926 On the fractional parts of an integral polynomial. (Über die Bruchteile eines ganzen Polynoms.) JFM 52.0182.03Vinogradov, I. M. 1 1926 Sur un théorème générale de Waring. JFM 50.0086.02Vinogradov, I. M. 4 1924 1. Über eine asymptotische Formel aus der Theorie der binären quadratischen Formen. 2. Sur la distribution des résidus et des nonrésidus des puissances. 3. Über die Verteilung der quadratischen Reste und Nichtreste. JFM 48.1352.04Vinogradov, I. M. 5 1918 all cited Publications top 5 cited Publications all top 5 Cited by 619 Authors 29 Shparlinski, Igor E. 23 Chubarikov, Vladimir Nikolaevich 12 Li, Jinjiang 12 Zhang, Min 10 Wooley, Trevor D. 9 Korolëv, Maksim Aleksandrovich 8 Cai, Yingchun 7 Garaev, Moubariz Z. 7 Karatsuba, Anatoliĭ Alekseevich 7 Rakhmonov, Zarullo Khusenovich 7 Sárközy, András 6 Fomenko, Oleg Mstislavovich 6 Winterhof, Arne 5 Arkhipov, Gennadiĭ Ivanovich 5 Banks, William David 5 Gritsenko, Sergeĭ Aleksandrovich 5 Guo, Victor Zhenyu 5 Kumchev, Angel V. 5 Liu, Zhixin 5 Mauduit, Christian 5 Mkaouar, Mohamed 5 Nowak, Werner Georg 5 Rivat, Joël 5 Steuding, Jörn 5 Tao, Terence 4 Avdeev, I. F. 4 Balog, Antal 4 Bourgain, Jean 4 Bredikhin, Boris Maksimovich 4 Friedlander, John Benjamin 4 Harman, Glyn 4 Konyagin, Sergeĭ Vladimirovich 4 Liu, Jianya 4 Liu, Ming-Chit 4 Lu, Guangshi 4 Rakhmonov, Firuz Zarulloevich 4 Sankaranarayanan, Ayyadurai 4 Sarnak, Peter Clive 4 Tolev, Doychin I. 4 Tsang, Kai-Man 4 Vaughan, Robert C. 3 Bykovskiĭ, Viktor Alekseevich 3 Deshouillers, Jean-Marc 3 Dufner, Gunter 3 El-Mahassni, Edwin D. 3 Èminyan, Karapet Mkrtichevich 3 Erdős, Pál 3 Green, Ben Joseph 3 Heath-Brown, Roger 3 Ikromov, Isroil A. 3 Iwaniec, Henryk 3 Karatsuba, Ekaterina Anatol’evna 3 Körner, Otto 3 Kundu, Debasis 3 Lahiri, Ananya 3 Leitmann, Dieter 3 Liu, Yuhui 3 Maier, Helmut 3 Mitra, Amit 3 Mot’kina, N. N. 3 Mu, Quanwu 3 Rieger, Georg Johann 3 Sander, Jürgen W. 3 Technau, Marc 3 Thuswaldner, Jörg Maximilian 3 Timofeev, Nikolaĭ Mikhaĭlovich 3 Wainger, Stephen 3 Wang, Tianze 3 Wannes, Walid 3 Wolke, Dieter 3 Zhai, Wenguang 2 Baier, Stephan 2 Baker, Roger C. 2 Bauer, Claus 2 Cao, Xiaodong 2 Chamizo Lorente, Fernando 2 Chan, Tsz Ho 2 Changa, Maris Evgen’evich 2 Cochrane, Todd 2 Coleman, Mark D. 2 Cristóbal, Elena 2 Cully-Hugill, Michaela 2 Daboussi, Hedi 2 Dimitrov, Stoyan Ivanov 2 Dixon, John D. 2 Drmota, Michael 2 Effinger, Gove W. 2 Feng, Zhenzhen 2 Fouvry, Etienne 2 Gallagher, Patrick X. 2 Gamburd, Alexander 2 Glazunov, Mykola Mykhaĭlovych 2 Gong, Ke 2 Greenblatt, Michael 2 Güloğlu, Ahmet Muhtar 2 Helfgott, Harald Andrés 2 Hildebrand, Adolf J. 2 Jia, Chaohua 2 Karthick Babu, C. G. 2 Kátai, Imre ...and 519 more Authors all top 5 Cited in 156 Serials 70 Mathematical Notes 64 Journal of Number Theory 29 Proceedings of the Steklov Institute of Mathematics 18 Monatshefte für Mathematik 17 Chebyshevskiĭ Sbornik 16 Acta Mathematica Hungarica 13 Mathematics of Computation 12 Moscow University Mathematics Bulletin 12 Journal of Soviet Mathematics 11 Journal de Théorie des Nombres de Bordeaux 10 Mathematika 10 International Journal of Number Theory 9 Lithuanian Mathematical Journal 9 Doklady Mathematics 8 Israel Journal of Mathematics 8 The Ramanujan Journal 7 Rocky Mountain Journal of Mathematics 7 Archiv der Mathematik 7 Proceedings of the American Mathematical Society 7 Journal of Mathematical Sciences (New York) 6 Periodica Mathematica Hungarica 6 Acta Arithmetica 6 Inventiones Mathematicae 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Bulletin of the Australian Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Arkiv för Matematik 5 Acta Mathematica 5 Functiones et Approximatio. Commentarii Mathematici 5 Mathematische Annalen 5 Mathematische Zeitschrift 5 Geometric and Functional Analysis. GAFA 5 Indagationes Mathematicae. New Series 5 Annals of Mathematics. Second Series 5 Frontiers of Mathematics in China 4 Michigan Mathematical Journal 4 Siberian Mathematical Journal 4 Theoretical Computer Science 4 Transactions of the American Mathematical Society 4 Discrete Mathematics and Applications 4 Bulletin of the American Mathematical Society. New Series 4 Sbornik: Mathematics 4 Acta Mathematica Sinica. English Series 4 Differential Equations 3 Analysis Mathematica 3 Discrete Mathematics 3 Information Processing Letters 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Mathematics 3 Canadian Mathematical Bulletin 3 Czechoslovak Mathematical Journal 3 Proceedings of the London Mathematical Society. Third Series 3 Science in China. Series A 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Applicable Algebra in Engineering, Communication and Computing 3 Cybernetics and Systems Analysis 3 Finite Fields and their Applications 3 Taiwanese Journal of Mathematics 3 Science China. Mathematics 3 Research in Number Theory 2 International Journal of Mathematical Education in Science and Technology 2 Journal d’Analyse Mathématique 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Theoretical and Mathematical Physics 2 Annales de l’Institut Fourier 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Calcolo 2 Compositio Mathematica 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 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 Linear Algebra and its Applications 2 Georgian Mathematical Journal 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Bulletin of the American Mathematical Society 2 Proceedings of the Japan Academy 2 Forum of Mathematics, Sigma 2 Research in the Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum ...and 56 more Serials all top 5 Cited in 42 Fields 533 Number theory (11-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 23 Information and communication theory, circuits (94-XX) 18 Computer science (68-XX) 15 Combinatorics (05-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Numerical analysis (65-XX) 13 Group theory and generalizations (20-XX) 12 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 8 History and biography (01-XX) 8 Approximations and expansions (41-XX) 7 Algebraic geometry (14-XX) 7 Measure and integration (28-XX) 7 Special functions (33-XX) 6 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Convex and discrete geometry (52-XX) 5 Statistics (62-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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