Edit Profile (opens in new tab) Montgomery, Hugh Lowell Compute Distance To: Compute Author ID: montgomery.hugh-l Published as: Montgomery, Hugh L.; Montgomery, H. L.; Montgomery, Hugh; Montgomery, Hugh L; Montgomery, H. Homepage: https://lsa.umich.edu/math/people/faculty/hlm.html External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 96 Publications since 1965, including 7 Books 11 Contributions as Editor · 5 Further Contributions Biographic References: 2 Publications Co-Authors: 49 Co-Authors with 68 Joint Publications 1,695 Co-Co-Authors all top 5 Co-Authors 40 single-authored 19 Vaughan, Robert C. 7 Bateman, Paul Trevier 7 Landau, Edmund 7 Mirsky, Leon 7 Schaal, Werner 7 Schoenberg, Isaac Jacob 7 Wefelscheid, Heinrich 5 Gonek, Steven M. 4 Odlyzko, Andrew M. 4 Vorhauer, Ulrike Magdalena Anna 3 Brüdern, Jörg 3 Wooley, Trevor D. 2 Davenport, Harold 2 Gallagher, Patrick X. 2 Goldston, Daniel Alan 2 Soundararajan, Kannan 2 Tenenbaum, Gérald 2 Vaaler, Jeffrey D. 2 Weinberger, Peter J. 1 Adler, Stephen L. 1 Alladi, Krishnaswami 1 Almgren, Frederick Justin jun. 1 Andrews, George Eyre 1 Arocena, Rodrigo 1 Baker, Roger C. 1 Barton, Jeffrey T. 1 Beauzamy, Bernard 1 Beckner, William 1 Blanksby, P. E. 1 Bleher, Pavel M. 1 Bombieri, Enrico 1 Boyd, David William 1 Bundschuh, Peter 1 Burkholder, Donald L. 1 Burkill, John Charles 1 Butzer, Paul Leo 1 Calderon, Alberto Pedro 1 Chayes, Jennifer Tour 1 Coifman, Ronald Raphaël 1 Córdoba Barba, Antonio Juan 1 Cotlar, Mischa 1 Diamond, Harold George 1 Dyson, Freeman John 1 Enflo, Per H. 1 Erdős, Pál 1 Fefferman, Robert A. 1 Fröhlich, Jürg Martin 1 Fujii, Akio 1 Gasper, George Jun 1 Gundy, R. R. 1 Gutiérrez, Cristian E. 1 Hayman, Walter Kurt 1 Heise, Werner 1 Hunt, Richard A. 1 Janson, Svante 1 Jerison, David S. 1 Jodeit, Max jun. 1 Jones, Peter Wilcox 1 Kurtz, Douglas S. 1 Lagarias, Jeffrey C. 1 Laugwitz, Detlef 1 Lebowitz, Joel Louis 1 Levinson, Norman 1 Lewis, Donald-J. 1 Maier, Helmut 1 Maldacena, Juan M. 1 Masley, John Myron 1 Mauduit, Christian 1 McIntosh, Alan 1 Meyer, Yves F. 1 Narkiewicz, Władysław 1 Neugebauer, Christoph J. 1 Niederreiter, Harald 1 Nikeghbali, Ashkan 1 Niven, Ivan Morton 1 Phong, Duong Hong 1 Pychorides, S. K. 1 Rassias, Michael Th. 1 Rivat, Joël 1 Rohrlich, David E. 1 Sadosky, Cora 1 Schinzel, Andrzej 1 Schwarz, Wolfgang Karl 1 Sills, Andrew V. 1 Stark, Eberhard L. 1 Stein, Elias Menachem 1 Taibleson, Mitchell H. 1 Thompson, John Griggs 1 Tracy, Craig Arnold 1 Wagon, Stan 1 Weiss, Guido Leopold 1 Wheeden, Richard Lee 1 Widom, Harold 1 Yau, Horng-Tzer 1 Young, Lawrence 1 Zafran, Misha 1 Zassenhaus, Hans Julius 1 Zuckerman, Herbert S. 1 Zygmund, Antoni all top 5 Serials 7 Acta Arithmetica 4 Inventiones Mathematicae 3 Mathematika 3 Oberwolfach Reports 2 American Mathematical Monthly 2 Bulletin of the London Mathematical Society 2 Functiones et Approximatio. Commentarii Mathematici 2 Glasgow Mathematical Journal 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Hardy-Ramanujan Journal 2 Cambridge Studies in Advanced Mathematics 2 Graduate Texts in Mathematics 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Faculty of Science. Section I A 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Bulletin of the Greek Mathematical Society 1 Acta Mathematica Hungarica 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Annals of Mathematics. Second Series 1 The Quarterly Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Lecture Notes in Mathematics 1 Regional Conference Series in Mathematics 1 Science 1 Pure and Applied Undergraduate Texts all top 5 Fields 99 Number theory (11-XX) 13 History and biography (01-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 2,694 times in 1,922 Documents Cited by ▼ Year ▼ Topics in multiplicative number theory. Zbl 0216.03501Montgomery, Hugh L. 287 1971 Multiplicative number theory. I. Classical theory. Zbl 1142.11001Montgomery, Hugh L.; Vaughan, Robert C. 253 2007 Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002Davenport, Harold 246 1980 Ten lectures on the interface between analytic number theory and harmonic analysis. Zbl 0814.11001Montgomery, Hugh L. 233 1994 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 204 2000 An introduction to the theory of numbers. 5th ed. Zbl 0742.11001Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L. 145 1991 The large sieve. Zbl 0296.10023Montgomery, H. L.; Vaughan, R. C. 124 1973 Hilbert’s inequality. Zbl 0281.10021Montgomery, H. L.; Vaughan, R. C. 122 1974 The pair correlation of zeros of the zeta function. Zbl 0268.10023Montgomery, H. L. 80 1973 The analytic principle of the large sieve. Zbl 0408.10033Montgomery, Hugh L. 75 1978 The exceptional set in Goldbach’s problem. Zbl 0301.10043Montgomery, H. L.; Vaughan, R. C. 67 1975 Exponential sums with multiplicative coefficients. Zbl 0362.10036Montgomery, H. L.; Vaughan, R. C. 65 1977 A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M. 57 1979 Cyclotomic fields with unique factorization. Zbl 0335.12013Masley, John M.; Montgomery, Hugh L. 48 1976 Minimal theta functions. Zbl 0639.10017Montgomery, Hugh L. 47 1988 Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025Levinson, Norman; Montgomery, Hugh L. 44 1974 Extreme values of the Riemann zeta function. Zbl 0373.10024Montgomery, Hugh L. 43 1977 Products of polynomials in many variables. Zbl 0729.30004Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L. 35 1990 Zeros of L-functions. Zbl 0204.37401Montgomery, H. L. 31 1969 Error terms in additive prime number theory. Zbl 0257.10027Montgomery, H. L.; Vaughan, R. C. 30 1973 Primes in arithmetic progressions. Zbl 0209.34804Montgomery, H. L. 30 1970 A note on the large sieve. Zbl 0254.10043Montgomery, H. L. 28 1968 Algebraic integers near the unit circle. Zbl 0221.12003Blanksby, P. E.; Montgomery, H. L. 27 1971 Mean and large values of Dirichlet polynomials. Zbl 0204.37301Montgomery, H. L. 26 1969 Notes on small class numbers. Zbl 0285.12004Montgomery, H. L.; Weinberger, P. J. 25 1974 Note on a Diophantine inequality in several variables. Zbl 0963.11039Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D. 20 2001 Fluctuations in the mean of Euler’s phi function. Zbl 0656.10042Montgomery, Hugh L. 18 1987 Mean values of multiplicative functions. Zbl 0980.11043Montgomery, H. L.; Vaughan, R. C. 17 2001 Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040Montgomery, H. L.; Vaughan, R. C. 17 1999 Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002Montgomery, Hugh L; Vaughan, Robert C. 16 2012 An exponential polynomial formed with the Legendre symbol. Zbl 0369.10024Montgomery, Hugh L. 14 1980 Primes in short intervals. Zbl 1124.11048Montgomery, Hugh L.; Soundararajan, K. 14 2004 On the L-functions of canonical Hecke characters of imaginary quadratic fields. II. Zbl 0523.12010Montgomery, Hugh L.; Rohrlich, David E. 13 1982 On the distribution of reduced residues. Zbl 0591.10042Montgomery, H. L.; Vaughan, R. C. 12 1986 Beurling primes with large oscillation. Zbl 1207.11105Diamond, Harold G.; Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 11 2006 On the Erdős-Fuchs theorems. Zbl 0715.11005Montgomery, H. L.; Vaughan, R. C. 10 1990 Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals. Zbl 0984.11044Goldston, D. A.; Gonek, S. M.; Montgomery, H. L. 9 2001 Real quadratic fields with large class number. Zbl 0325.12001Montgomery, Hugh L.; Weinberger, Peter J. 9 1977 On zeros of \(p\)-adic forms. Zbl 0531.10026Lewis, D. J.; Montgomery, Hugh L. 9 1983 Mean values of character sums. Zbl 0416.10030Montgomery, H. L.; Vaughan, R. C. 8 1979 Gaps between zeros of the zeta function. Zbl 0546.10033Montgomery, H. L.; Odlyzko, A. M. 8 1984 Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D. 8 1995 Pair correlation of zeros and primes in short intervals. Zbl 0629.10032Goldston, Daniel A.; Montgomery, Hugh L. 7 1987 Beyond pair correlation. Zbl 1095.11043Montgomery, H. L.; Soundararajan, K. 7 2002 Large deviations of sums of independent random variables. Zbl 0641.60032Montgomery, Hugh L.; Odlyzko, Andrew M. 6 1988 The sum of the Möbius function. Zbl 1241.11121Maier, H.; Montgomery, H. L. 6 2009 Kronecker’s approximation theorem. Zbl 1347.11053Gonek, Steven M.; Montgomery, Hugh L. 6 2016 Distribution of irregulär primes. Zbl 0131.04501Montgomery, H. L. 6 1965 Oscillations of quadratic L-functions. Zbl 0718.11039Baker, R. C.; Montgomery, H. L. 6 1990 Topics in multiplicative number theory. (Mul’tiplikativnaja teorija cisel.) Übersetzung aus dem Englischen von A. F. Lavrik. Zbl 0291.10030Montgomery, H. L. 5 1974 A note on Burgess’s estimate. Zbl 1271.11085Gallagher, P. X.; Montgomery, H. L. 5 2010 The distribution of squarefree numbers. Zbl 0462.10029Montgomery, H. L.; Vaughan, R. C. 5 1981 Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026Fujii, Akio; Gallagher, P. X.; Montgomery, H. L. 4 1976 Harmonic analysis as found in analytic number theory. Zbl 1001.11001Montgomery, Hugh L. 3 2001 The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009Montgomery, H. L.; Vaughan, R. C. 3 1985 Changes of sign of the error term in the prime number theorem. Zbl 1196.11125Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 3 2006 Distribution of the zeros of the Riemann zeta-function. Zbl 0342.10020Montgomery, Hugh L. 3 1975 Early Fourier analysis. Zbl 1316.42001Montgomery, Hugh L. 3 2014 Maximal variants of the large sieve. Zbl 0498.10024Montgomery, Hugh L. 3 1981 Zeros of a family of approximations of the Riemann zeta-function. Zbl 1297.11101Gonek, Steven M.; Montgomery, Hugh L. 3 2013 John Edensor Littlewood. Zbl 0409.01010Burkill, J. C. 2 1979 Distribution of small powers of a primitive root. Zbl 0806.11041Montgomery, Hugh L. 2 1993 A note on rearrangements of Fourier coefficients. Zbl 0318.42009Montgomery, Hugh L. 2 1976 Some arithmetic properties of polynomials in several variables. Zbl 0369.12014Montgomery, H. L.; Schinzel, Andrzej 2 1977 Littlewood polynomials. Zbl 1391.42004Montgomery, Hugh L. 2 2017 Hilbert’s inequality and the large sieve (results of Montgomery and Vaughan). Zbl 0277.10038Montgomery, Hugh 2 1972 Cyclotomic partitions. Zbl 0697.10040Boyd, David W.; Montgomery, Hugh L. 2 1990 Biased trigonometric polynomials. Zbl 1268.42001Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 1 2007 Selberg’s work on the zeta-function. Zbl 0671.10001Montgomery, Hugh L. 1 1989 Greedy sums of distinct squares. Zbl 1028.11013Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 1 2004 A further generalization of Hilbert’s inequality. Zbl 0964.11039Montgomery, Hugh L.; Vaaler, Jeffrey D. 1 1999 Problems concerning prime numbers. Zbl 0342.10019Montgomery, Hugh L. 1 1976 Moments of a Thue-Morse generating function. Zbl 1448.11059Mauduit, Christian; Montgomery, Hugh L.; Rivat, J. 1 2018 Spirals of the zeta function. I. Zbl 1356.11047Gonek, Steven M.; Montgomery, Hugh L. 1 2015 A heuristic for the prime number theorem. Zbl 1159.11032Montgomery, Hugh L.; Wagon, Stan 1 2006 On a question of Ramachandra. Zbl 0515.10041Montgomery, Hugh L. 1 1982 Zeros of approximations to the zeta function. Zbl 0518.10046Montgomery, H. L. 1 1983 The zeta function and prime numbers. Zbl 0451.10023Montgomery, H. L. 1 1980 Moments of a Thue-Morse generating function. Zbl 1448.11059Mauduit, Christian; Montgomery, Hugh L.; Rivat, J. 1 2018 Littlewood polynomials. Zbl 1391.42004Montgomery, Hugh L. 2 2017 Kronecker’s approximation theorem. Zbl 1347.11053Gonek, Steven M.; Montgomery, Hugh L. 6 2016 Spirals of the zeta function. I. Zbl 1356.11047Gonek, Steven M.; Montgomery, Hugh L. 1 2015 Early Fourier analysis. Zbl 1316.42001Montgomery, Hugh L. 3 2014 Zeros of a family of approximations of the Riemann zeta-function. Zbl 1297.11101Gonek, Steven M.; Montgomery, Hugh L. 3 2013 Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002Montgomery, Hugh L; Vaughan, Robert C. 16 2012 A note on Burgess’s estimate. Zbl 1271.11085Gallagher, P. X.; Montgomery, H. L. 5 2010 The sum of the Möbius function. Zbl 1241.11121Maier, H.; Montgomery, H. L. 6 2009 Multiplicative number theory. I. Classical theory. Zbl 1142.11001Montgomery, Hugh L.; Vaughan, Robert C. 253 2007 Biased trigonometric polynomials. Zbl 1268.42001Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 1 2007 Beurling primes with large oscillation. Zbl 1207.11105Diamond, Harold G.; Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 11 2006 Changes of sign of the error term in the prime number theorem. Zbl 1196.11125Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 3 2006 A heuristic for the prime number theorem. Zbl 1159.11032Montgomery, Hugh L.; Wagon, Stan 1 2006 Primes in short intervals. Zbl 1124.11048Montgomery, Hugh L.; Soundararajan, K. 14 2004 Greedy sums of distinct squares. Zbl 1028.11013Montgomery, Hugh L.; Vorhauer, Ulrike M. A. 1 2004 Beyond pair correlation. Zbl 1095.11043Montgomery, H. L.; Soundararajan, K. 7 2002 Note on a Diophantine inequality in several variables. Zbl 0963.11039Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D. 20 2001 Mean values of multiplicative functions. Zbl 0980.11043Montgomery, H. L.; Vaughan, R. C. 17 2001 Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals. Zbl 0984.11044Goldston, D. A.; Gonek, S. M.; Montgomery, H. L. 9 2001 Harmonic analysis as found in analytic number theory. Zbl 1001.11001Montgomery, Hugh L. 3 2001 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 204 2000 Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040Montgomery, H. L.; Vaughan, R. C. 17 1999 A further generalization of Hilbert’s inequality. Zbl 0964.11039Montgomery, Hugh L.; Vaaler, Jeffrey D. 1 1999 Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D. 8 1995 Ten lectures on the interface between analytic number theory and harmonic analysis. Zbl 0814.11001Montgomery, Hugh L. 233 1994 Distribution of small powers of a primitive root. Zbl 0806.11041Montgomery, Hugh L. 2 1993 An introduction to the theory of numbers. 5th ed. Zbl 0742.11001Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L. 145 1991 Products of polynomials in many variables. Zbl 0729.30004Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L. 35 1990 On the Erdős-Fuchs theorems. Zbl 0715.11005Montgomery, H. L.; Vaughan, R. C. 10 1990 Oscillations of quadratic L-functions. Zbl 0718.11039Baker, R. C.; Montgomery, H. L. 6 1990 Cyclotomic partitions. Zbl 0697.10040Boyd, David W.; Montgomery, Hugh L. 2 1990 Selberg’s work on the zeta-function. Zbl 0671.10001Montgomery, Hugh L. 1 1989 Minimal theta functions. Zbl 0639.10017Montgomery, Hugh L. 47 1988 Large deviations of sums of independent random variables. Zbl 0641.60032Montgomery, Hugh L.; Odlyzko, Andrew M. 6 1988 Fluctuations in the mean of Euler’s phi function. Zbl 0656.10042Montgomery, Hugh L. 18 1987 Pair correlation of zeros and primes in short intervals. Zbl 0629.10032Goldston, Daniel A.; Montgomery, Hugh L. 7 1987 On the distribution of reduced residues. Zbl 0591.10042Montgomery, H. L.; Vaughan, R. C. 12 1986 The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009Montgomery, H. L.; Vaughan, R. C. 3 1985 Gaps between zeros of the zeta function. Zbl 0546.10033Montgomery, H. L.; Odlyzko, A. M. 8 1984 On zeros of \(p\)-adic forms. Zbl 0531.10026Lewis, D. J.; Montgomery, Hugh L. 9 1983 Zeros of approximations to the zeta function. Zbl 0518.10046Montgomery, H. L. 1 1983 On the L-functions of canonical Hecke characters of imaginary quadratic fields. II. Zbl 0523.12010Montgomery, Hugh L.; Rohrlich, David E. 13 1982 On a question of Ramachandra. Zbl 0515.10041Montgomery, Hugh L. 1 1982 The distribution of squarefree numbers. Zbl 0462.10029Montgomery, H. L.; Vaughan, R. C. 5 1981 Maximal variants of the large sieve. Zbl 0498.10024Montgomery, Hugh L. 3 1981 Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002Davenport, Harold 246 1980 An exponential polynomial formed with the Legendre symbol. Zbl 0369.10024Montgomery, Hugh L. 14 1980 The zeta function and prime numbers. Zbl 0451.10023Montgomery, H. L. 1 1980 A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M. 57 1979 Mean values of character sums. Zbl 0416.10030Montgomery, H. L.; Vaughan, R. C. 8 1979 John Edensor Littlewood. Zbl 0409.01010Burkill, J. C. 2 1979 The analytic principle of the large sieve. Zbl 0408.10033Montgomery, Hugh L. 75 1978 Exponential sums with multiplicative coefficients. Zbl 0362.10036Montgomery, H. L.; Vaughan, R. C. 65 1977 Extreme values of the Riemann zeta function. Zbl 0373.10024Montgomery, Hugh L. 43 1977 Real quadratic fields with large class number. Zbl 0325.12001Montgomery, Hugh L.; Weinberger, Peter J. 9 1977 Some arithmetic properties of polynomials in several variables. Zbl 0369.12014Montgomery, H. L.; Schinzel, Andrzej 2 1977 Cyclotomic fields with unique factorization. Zbl 0335.12013Masley, John M.; Montgomery, Hugh L. 48 1976 Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026Fujii, Akio; Gallagher, P. X.; Montgomery, H. L. 4 1976 A note on rearrangements of Fourier coefficients. Zbl 0318.42009Montgomery, Hugh L. 2 1976 Problems concerning prime numbers. Zbl 0342.10019Montgomery, Hugh L. 1 1976 The exceptional set in Goldbach’s problem. Zbl 0301.10043Montgomery, H. L.; Vaughan, R. C. 67 1975 Distribution of the zeros of the Riemann zeta-function. Zbl 0342.10020Montgomery, Hugh L. 3 1975 Hilbert’s inequality. Zbl 0281.10021Montgomery, H. L.; Vaughan, R. C. 122 1974 Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025Levinson, Norman; Montgomery, Hugh L. 44 1974 Notes on small class numbers. Zbl 0285.12004Montgomery, H. L.; Weinberger, P. J. 25 1974 Topics in multiplicative number theory. (Mul’tiplikativnaja teorija cisel.) Übersetzung aus dem Englischen von A. F. Lavrik. Zbl 0291.10030Montgomery, H. L. 5 1974 The large sieve. Zbl 0296.10023Montgomery, H. L.; Vaughan, R. C. 124 1973 The pair correlation of zeros of the zeta function. Zbl 0268.10023Montgomery, H. L. 80 1973 Error terms in additive prime number theory. Zbl 0257.10027Montgomery, H. L.; Vaughan, R. C. 30 1973 Hilbert’s inequality and the large sieve (results of Montgomery and Vaughan). Zbl 0277.10038Montgomery, Hugh 2 1972 Topics in multiplicative number theory. Zbl 0216.03501Montgomery, Hugh L. 287 1971 Algebraic integers near the unit circle. Zbl 0221.12003Blanksby, P. E.; Montgomery, H. L. 27 1971 Primes in arithmetic progressions. Zbl 0209.34804Montgomery, H. L. 30 1970 Zeros of L-functions. Zbl 0204.37401Montgomery, H. L. 31 1969 Mean and large values of Dirichlet polynomials. Zbl 0204.37301Montgomery, H. L. 26 1969 A note on the large sieve. Zbl 0254.10043Montgomery, H. L. 28 1968 Distribution of irregulär primes. Zbl 0131.04501Montgomery, H. L. 6 1965 all cited Publications top 5 cited Publications all top 5 Cited by 1,641 Authors 45 Laurinčikas, Antanas 30 Shparlinski, Igor E. 23 Luca, Florian 22 Vaughan, Robert C. 21 Zaharescu, Alexandru 20 Perelli, Alberto 19 Montgomery, Hugh Lowell 18 Gonek, Steven M. 17 Tenenbaum, Gérald 16 Bétermin, Laurent 16 Soundararajan, Kannan 15 Goldston, Daniel Alan 15 Harman, Glyn 15 Languasco, Alessandro 14 Banks, William D. 14 Wolke, Dieter 13 Carneiro, Emanuel 13 Fomenko, Oleg Mstislavovich 13 Granville, Andrew James 13 Pintz, Janos 13 Ramachandra, Kanakanahalli 13 Ramaré, Olivier 13 Sankaranarayanan, Ayyadurai 13 Zaccagnini, Alessandro 12 Kaczorowski, Jerzy 12 Lamzouri, Youness 12 Martin, Greg 12 Steuding, Jörn 11 Baier, Stephan 11 Milinovich, Micah B. 11 Seip, Kristian 11 Vaaler, Jeffrey D. 11 Wu, Jie 11 Zhao, Liangyi 10 Erdélyi, Tamás 10 Harper, Adam J. 10 Macaitienė, Renata 10 Ng, Nathan C. 10 Pomerance, Carl Bernard 10 Sárközy, András 10 Šiaučiūnas, Darius 9 Kumchev, Angel V. 9 Liu, Jianya 9 Liu, Ming-Chit 9 Mauduit, Christian 9 Pollack, Paul 9 Rivat, Joël 9 Sarnak, Peter Clive 8 Cochrane, Todd 8 Conrey, John Brian 8 Halupczok, Karin 8 Heath-Brown, Roger 8 Ivić, Aleksandar 8 Keating, Jonathan Peter 8 Miller, Steven J. 8 Munsch, Marc 8 Murty, Maruti Ram 8 Radziwiłł, Maksym 8 Roy, Arindam 8 Tao, Terence 8 Thorner, Jesse 8 Travaglini, Giancarlo 7 Alkan, Emre 7 Balog, Antal 7 Bourgain, Jean 7 Brandolini, Luca 7 Chamizo Lorente, Fernando 7 de la Bretèche, Régis 7 Diamond, Harold George 7 Ford, Kevin B. 7 Garunkštis, Ramūnas 7 Huang, Jingjing 7 Iwaniec, Henryk 7 Konyagin, Sergeĭ Vladimirovich 7 Kowalski, Emmanuel 7 Lau, Yuk-Kam 7 Matsumoto, Kohji 7 Ruzsa, Imre Z. 7 Steinerberger, Stefan 7 Turnage-Butterbaugh, Caroline L. 7 Xiao, Xuanxuan 7 Yıldırım, Cem Yalçın 7 Zaman, Asif 6 Bach, Eric 6 Baker, Roger C. 6 Balasubramanian, Ramachandran 6 Borwein, Peter Benjamin 6 Bui, Hung Manh 6 Erdős, Pál 6 Faulhuber, Markus 6 Freiberg, Tristan 6 Fujii, Akio 6 Garaev, Moubariz Z. 6 Ki, Haseo 6 Littmann, Friedrich 6 Lu, Guangshi 6 Maier, Helmut 6 Motohashi, Yoichi 6 Platt, David John 6 Pritsker, Igor E. ...and 1,541 more Authors all top 5 Cited in 304 Serials 238 Journal of Number Theory 61 International Journal of Number Theory 58 Proceedings of the American Mathematical Society 58 Transactions of the American Mathematical Society 51 Mathematics of Computation 48 Journal de Théorie des Nombres de Bordeaux 41 Monatshefte für Mathematik 39 The Ramanujan Journal 38 Mathematische Annalen 38 Mathematika 36 Acta Mathematica Hungarica 34 Functiones et Approximatio. Commentarii Mathematici 30 Advances in Mathematics 29 Journal of Mathematical Analysis and Applications 28 Archiv der Mathematik 27 Lithuanian Mathematical Journal 27 Mathematische Zeitschrift 26 Mathematical Proceedings of the Cambridge Philosophical Society 26 Duke Mathematical Journal 26 Inventiones Mathematicae 24 Acta Arithmetica 21 Mathematical Notes 20 Israel Journal of Mathematics 18 Rocky Mountain Journal of Mathematics 18 Proceedings of the Steklov Institute of Mathematics 17 Compositio Mathematica 17 Indagationes Mathematicae. New Series 16 Journal of Mathematical Sciences (New York) 15 Annales de l’Institut Fourier 15 Experimental Mathematics 13 Journal d’Analyse Mathématique 13 Periodica Mathematica Hungarica 13 Journal of Algebra 12 Manuscripta Mathematica 11 Constructive Approximation 11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Bulletin of the Australian Mathematical Society 10 Proceedings of the Japan Academy. Series A 10 Journal of the American Mathematical Society 10 Finite Fields and their Applications 9 Discrete Mathematics 9 Journal of Approximation Theory 9 Journal of Functional Analysis 9 Geometric and Functional Analysis. GAFA 9 The Journal of Fourier Analysis and Applications 8 Communications in Mathematical Physics 8 Bulletin of the American Mathematical Society. New Series 8 Algebra & Number Theory 8 Research in Number Theory 7 Journal of Soviet Mathematics 7 Proceedings of the London Mathematical Society. Third Series 7 Acta Mathematica Sinica. English Series 7 Science China. Mathematics 6 Acta Mathematica Academiae Scientiarum Hungaricae 6 Arkiv för Matematik 6 Glasgow Mathematical Journal 6 Journal of Pure and Applied Algebra 6 Journal für die Reine und Angewandte Mathematik 6 Michigan Mathematical Journal 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 6 Integers 6 Journal of the Australian Mathematical Society 5 The Mathematical Intelligencer 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Czechoslovak Mathematical Journal 5 Results in Mathematics 5 Expositiones Mathematicae 5 Journal of Integer Sequences 5 Mathematical Modelling and Analysis 5 Journal of Statistical Mechanics: Theory and Experiment 5 Chebyshevskiĭ Sbornik 5 European Journal of Mathematics 4 American Mathematical Monthly 4 Communications in Algebra 4 Communications on Pure and Applied Mathematics 4 Journal of Statistical Physics 4 Bulletin of the London Mathematical Society 4 Canadian Journal of Mathematics 4 Illinois Journal of Mathematics 4 Topology and its Applications 4 Revista Matemática Iberoamericana 4 SIAM Journal on Discrete Mathematics 4 Forum Mathematicum 4 Journal of the Ramanujan Mathematical Society 4 Science in China. Series A 4 The Journal of Geometric Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Linear Algebra and its Applications 4 Acta Mathematica Sinica. New Series 4 St. Petersburg Mathematical Journal 4 Journal of Inequalities and Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Proceedings of the Japan Academy 4 Forum of Mathematics, Pi 3 Analysis Mathematica 3 Computers & Mathematics with Applications 3 Discrete Applied Mathematics 3 Indian Journal of Pure & Applied Mathematics ...and 204 more Serials all top 5 Cited in 58 Fields 1,628 Number theory (11-XX) 94 Functions of a complex variable (30-XX) 85 Harmonic analysis on Euclidean spaces (42-XX) 57 Combinatorics (05-XX) 55 Algebraic geometry (14-XX) 55 Probability theory and stochastic processes (60-XX) 52 Approximations and expansions (41-XX) 39 Group theory and generalizations (20-XX) 39 Dynamical systems and ergodic theory (37-XX) 35 Field theory and polynomials (12-XX) 35 Real functions (26-XX) 31 Statistical mechanics, structure of matter (82-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 28 Information and communication theory, circuits (94-XX) 26 Computer science (68-XX) 25 Partial differential equations (35-XX) 25 Numerical analysis (65-XX) 24 Operator theory (47-XX) 23 Special functions (33-XX) 23 Functional analysis (46-XX) 20 Convex and discrete geometry (52-XX) 19 Sequences, series, summability (40-XX) 17 Quantum theory (81-XX) 15 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Commutative algebra (13-XX) 12 Associative rings and algebras (16-XX) 11 General topology (54-XX) 9 History and biography (01-XX) 9 Topological groups, Lie groups (22-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Abstract harmonic analysis (43-XX) 9 Mechanics of deformable solids (74-XX) 8 Measure and integration (28-XX) 7 Integral transforms, operational calculus (44-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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