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Montgomery, Hugh Lowell

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Author ID: montgomery.hugh-l Recent zbMATH articles by "Montgomery, Hugh Lowell"
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
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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

Publications by Year

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 0216.03501
Montgomery, Hugh L.
287
1971
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
253
2007
Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002
Davenport, Harold
246
1980
Ten lectures on the interface between analytic number theory and harmonic analysis. Zbl 0814.11001
Montgomery, Hugh L.
233
1994
Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001
Davenport, Harold
204
2000
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
145
1991
The large sieve. Zbl 0296.10023
Montgomery, H. L.; Vaughan, R. C.
124
1973
Hilbert’s inequality. Zbl 0281.10021
Montgomery, H. L.; Vaughan, R. C.
122
1974
The pair correlation of zeros of the zeta function. Zbl 0268.10023
Montgomery, H. L.
80
1973
The analytic principle of the large sieve. Zbl 0408.10033
Montgomery, Hugh L.
75
1978
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
67
1975
Exponential sums with multiplicative coefficients. Zbl 0362.10036
Montgomery, H. L.; Vaughan, R. C.
65
1977
A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014
Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M.
57
1979
Cyclotomic fields with unique factorization. Zbl 0335.12013
Masley, John M.; Montgomery, Hugh L.
48
1976
Minimal theta functions. Zbl 0639.10017
Montgomery, Hugh L.
47
1988
Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025
Levinson, Norman; Montgomery, Hugh L.
44
1974
Extreme values of the Riemann zeta function. Zbl 0373.10024
Montgomery, Hugh L.
43
1977
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
35
1990
Zeros of L-functions. Zbl 0204.37401
Montgomery, H. L.
31
1969
Error terms in additive prime number theory. Zbl 0257.10027
Montgomery, H. L.; Vaughan, R. C.
30
1973
Primes in arithmetic progressions. Zbl 0209.34804
Montgomery, H. L.
30
1970
A note on the large sieve. Zbl 0254.10043
Montgomery, H. L.
28
1968
Algebraic integers near the unit circle. Zbl 0221.12003
Blanksby, P. E.; Montgomery, H. L.
27
1971
Mean and large values of Dirichlet polynomials. Zbl 0204.37301
Montgomery, H. L.
26
1969
Notes on small class numbers. Zbl 0285.12004
Montgomery, H. L.; Weinberger, P. J.
25
1974
Note on a Diophantine inequality in several variables. Zbl 0963.11039
Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D.
20
2001
Fluctuations in the mean of Euler’s phi function. Zbl 0656.10042
Montgomery, Hugh L.
18
1987
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, H. L.; Vaughan, R. C.
17
2001
Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040
Montgomery, H. L.; Vaughan, R. C.
17
1999
Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002
Montgomery, Hugh L; Vaughan, Robert C.
16
2012
An exponential polynomial formed with the Legendre symbol. Zbl 0369.10024
Montgomery, Hugh L.
14
1980
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
14
2004
On the L-functions of canonical Hecke characters of imaginary quadratic fields. II. Zbl 0523.12010
Montgomery, Hugh L.; Rohrlich, David E.
13
1982
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
12
1986
Beurling primes with large oscillation. Zbl 1207.11105
Diamond, Harold G.; Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
11
2006
On the Erdős-Fuchs theorems. Zbl 0715.11005
Montgomery, 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 0984.11044
Goldston, D. A.; Gonek, S. M.; Montgomery, H. L.
9
2001
Real quadratic fields with large class number. Zbl 0325.12001
Montgomery, Hugh L.; Weinberger, Peter J.
9
1977
On zeros of \(p\)-adic forms. Zbl 0531.10026
Lewis, D. J.; Montgomery, Hugh L.
9
1983
Mean values of character sums. Zbl 0416.10030
Montgomery, H. L.; Vaughan, R. C.
8
1979
Gaps between zeros of the zeta function. Zbl 0546.10033
Montgomery, H. L.; Odlyzko, A. M.
8
1984
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
8
1995
Pair correlation of zeros and primes in short intervals. Zbl 0629.10032
Goldston, Daniel A.; Montgomery, Hugh L.
7
1987
Beyond pair correlation. Zbl 1095.11043
Montgomery, H. L.; Soundararajan, K.
7
2002
Large deviations of sums of independent random variables. Zbl 0641.60032
Montgomery, Hugh L.; Odlyzko, Andrew M.
6
1988
The sum of the Möbius function. Zbl 1241.11121
Maier, H.; Montgomery, H. L.
6
2009
Kronecker’s approximation theorem. Zbl 1347.11053
Gonek, Steven M.; Montgomery, Hugh L.
6
2016
Distribution of irregulär primes. Zbl 0131.04501
Montgomery, H. L.
6
1965
Oscillations of quadratic L-functions. Zbl 0718.11039
Baker, 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 0291.10030
Montgomery, H. L.
5
1974
A note on Burgess’s estimate. Zbl 1271.11085
Gallagher, P. X.; Montgomery, H. L.
5
2010
The distribution of squarefree numbers. Zbl 0462.10029
Montgomery, H. L.; Vaughan, R. C.
5
1981
Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026
Fujii, Akio; Gallagher, P. X.; Montgomery, H. L.
4
1976
Harmonic analysis as found in analytic number theory. Zbl 1001.11001
Montgomery, Hugh L.
3
2001
The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009
Montgomery, H. L.; Vaughan, R. C.
3
1985
Changes of sign of the error term in the prime number theorem. Zbl 1196.11125
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
3
2006
Distribution of the zeros of the Riemann zeta-function. Zbl 0342.10020
Montgomery, Hugh L.
3
1975
Early Fourier analysis. Zbl 1316.42001
Montgomery, Hugh L.
3
2014
Maximal variants of the large sieve. Zbl 0498.10024
Montgomery, Hugh L.
3
1981
Zeros of a family of approximations of the Riemann zeta-function. Zbl 1297.11101
Gonek, Steven M.; Montgomery, Hugh L.
3
2013
John Edensor Littlewood. Zbl 0409.01010
Burkill, J. C.
2
1979
Distribution of small powers of a primitive root. Zbl 0806.11041
Montgomery, Hugh L.
2
1993
A note on rearrangements of Fourier coefficients. Zbl 0318.42009
Montgomery, Hugh L.
2
1976
Some arithmetic properties of polynomials in several variables. Zbl 0369.12014
Montgomery, H. L.; Schinzel, Andrzej
2
1977
Littlewood polynomials. Zbl 1391.42004
Montgomery, Hugh L.
2
2017
Hilbert’s inequality and the large sieve (results of Montgomery and Vaughan). Zbl 0277.10038
Montgomery, Hugh
2
1972
Cyclotomic partitions. Zbl 0697.10040
Boyd, David W.; Montgomery, Hugh L.
2
1990
Biased trigonometric polynomials. Zbl 1268.42001
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
1
2007
Selberg’s work on the zeta-function. Zbl 0671.10001
Montgomery, Hugh L.
1
1989
Greedy sums of distinct squares. Zbl 1028.11013
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
1
2004
A further generalization of Hilbert’s inequality. Zbl 0964.11039
Montgomery, Hugh L.; Vaaler, Jeffrey D.
1
1999
Problems concerning prime numbers. Zbl 0342.10019
Montgomery, Hugh L.
1
1976
Moments of a Thue-Morse generating function. Zbl 1448.11059
Mauduit, Christian; Montgomery, Hugh L.; Rivat, J.
1
2018
Spirals of the zeta function. I. Zbl 1356.11047
Gonek, Steven M.; Montgomery, Hugh L.
1
2015
A heuristic for the prime number theorem. Zbl 1159.11032
Montgomery, Hugh L.; Wagon, Stan
1
2006
On a question of Ramachandra. Zbl 0515.10041
Montgomery, Hugh L.
1
1982
Zeros of approximations to the zeta function. Zbl 0518.10046
Montgomery, H. L.
1
1983
The zeta function and prime numbers. Zbl 0451.10023
Montgomery, H. L.
1
1980
Moments of a Thue-Morse generating function. Zbl 1448.11059
Mauduit, Christian; Montgomery, Hugh L.; Rivat, J.
1
2018
Littlewood polynomials. Zbl 1391.42004
Montgomery, Hugh L.
2
2017
Kronecker’s approximation theorem. Zbl 1347.11053
Gonek, Steven M.; Montgomery, Hugh L.
6
2016
Spirals of the zeta function. I. Zbl 1356.11047
Gonek, Steven M.; Montgomery, Hugh L.
1
2015
Early Fourier analysis. Zbl 1316.42001
Montgomery, Hugh L.
3
2014
Zeros of a family of approximations of the Riemann zeta-function. Zbl 1297.11101
Gonek, Steven M.; Montgomery, Hugh L.
3
2013
Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002
Montgomery, Hugh L; Vaughan, Robert C.
16
2012
A note on Burgess’s estimate. Zbl 1271.11085
Gallagher, P. X.; Montgomery, H. L.
5
2010
The sum of the Möbius function. Zbl 1241.11121
Maier, H.; Montgomery, H. L.
6
2009
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
253
2007
Biased trigonometric polynomials. Zbl 1268.42001
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
1
2007
Beurling primes with large oscillation. Zbl 1207.11105
Diamond, Harold G.; Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
11
2006
Changes of sign of the error term in the prime number theorem. Zbl 1196.11125
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
3
2006
A heuristic for the prime number theorem. Zbl 1159.11032
Montgomery, Hugh L.; Wagon, Stan
1
2006
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
14
2004
Greedy sums of distinct squares. Zbl 1028.11013
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
1
2004
Beyond pair correlation. Zbl 1095.11043
Montgomery, H. L.; Soundararajan, K.
7
2002
Note on a Diophantine inequality in several variables. Zbl 0963.11039
Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D.
20
2001
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, 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 0984.11044
Goldston, D. A.; Gonek, S. M.; Montgomery, H. L.
9
2001
Harmonic analysis as found in analytic number theory. Zbl 1001.11001
Montgomery, Hugh L.
3
2001
Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001
Davenport, Harold
204
2000
Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040
Montgomery, H. L.; Vaughan, R. C.
17
1999
A further generalization of Hilbert’s inequality. Zbl 0964.11039
Montgomery, Hugh L.; Vaaler, Jeffrey D.
1
1999
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
8
1995
Ten lectures on the interface between analytic number theory and harmonic analysis. Zbl 0814.11001
Montgomery, Hugh L.
233
1994
Distribution of small powers of a primitive root. Zbl 0806.11041
Montgomery, Hugh L.
2
1993
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
145
1991
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
35
1990
On the Erdős-Fuchs theorems. Zbl 0715.11005
Montgomery, H. L.; Vaughan, R. C.
10
1990
Oscillations of quadratic L-functions. Zbl 0718.11039
Baker, R. C.; Montgomery, H. L.
6
1990
Cyclotomic partitions. Zbl 0697.10040
Boyd, David W.; Montgomery, Hugh L.
2
1990
Selberg’s work on the zeta-function. Zbl 0671.10001
Montgomery, Hugh L.
1
1989
Minimal theta functions. Zbl 0639.10017
Montgomery, Hugh L.
47
1988
Large deviations of sums of independent random variables. Zbl 0641.60032
Montgomery, Hugh L.; Odlyzko, Andrew M.
6
1988
Fluctuations in the mean of Euler’s phi function. Zbl 0656.10042
Montgomery, Hugh L.
18
1987
Pair correlation of zeros and primes in short intervals. Zbl 0629.10032
Goldston, Daniel A.; Montgomery, Hugh L.
7
1987
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
12
1986
The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009
Montgomery, H. L.; Vaughan, R. C.
3
1985
Gaps between zeros of the zeta function. Zbl 0546.10033
Montgomery, H. L.; Odlyzko, A. M.
8
1984
On zeros of \(p\)-adic forms. Zbl 0531.10026
Lewis, D. J.; Montgomery, Hugh L.
9
1983
Zeros of approximations to the zeta function. Zbl 0518.10046
Montgomery, H. L.
1
1983
On the L-functions of canonical Hecke characters of imaginary quadratic fields. II. Zbl 0523.12010
Montgomery, Hugh L.; Rohrlich, David E.
13
1982
On a question of Ramachandra. Zbl 0515.10041
Montgomery, Hugh L.
1
1982
The distribution of squarefree numbers. Zbl 0462.10029
Montgomery, H. L.; Vaughan, R. C.
5
1981
Maximal variants of the large sieve. Zbl 0498.10024
Montgomery, Hugh L.
3
1981
Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002
Davenport, Harold
246
1980
An exponential polynomial formed with the Legendre symbol. Zbl 0369.10024
Montgomery, Hugh L.
14
1980
The zeta function and prime numbers. Zbl 0451.10023
Montgomery, H. L.
1
1980
A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014
Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M.
57
1979
Mean values of character sums. Zbl 0416.10030
Montgomery, H. L.; Vaughan, R. C.
8
1979
John Edensor Littlewood. Zbl 0409.01010
Burkill, J. C.
2
1979
The analytic principle of the large sieve. Zbl 0408.10033
Montgomery, Hugh L.
75
1978
Exponential sums with multiplicative coefficients. Zbl 0362.10036
Montgomery, H. L.; Vaughan, R. C.
65
1977
Extreme values of the Riemann zeta function. Zbl 0373.10024
Montgomery, Hugh L.
43
1977
Real quadratic fields with large class number. Zbl 0325.12001
Montgomery, Hugh L.; Weinberger, Peter J.
9
1977
Some arithmetic properties of polynomials in several variables. Zbl 0369.12014
Montgomery, H. L.; Schinzel, Andrzej
2
1977
Cyclotomic fields with unique factorization. Zbl 0335.12013
Masley, John M.; Montgomery, Hugh L.
48
1976
Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026
Fujii, Akio; Gallagher, P. X.; Montgomery, H. L.
4
1976
A note on rearrangements of Fourier coefficients. Zbl 0318.42009
Montgomery, Hugh L.
2
1976
Problems concerning prime numbers. Zbl 0342.10019
Montgomery, Hugh L.
1
1976
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
67
1975
Distribution of the zeros of the Riemann zeta-function. Zbl 0342.10020
Montgomery, Hugh L.
3
1975
Hilbert’s inequality. Zbl 0281.10021
Montgomery, H. L.; Vaughan, R. C.
122
1974
Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025
Levinson, Norman; Montgomery, Hugh L.
44
1974
Notes on small class numbers. Zbl 0285.12004
Montgomery, 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 0291.10030
Montgomery, H. L.
5
1974
The large sieve. Zbl 0296.10023
Montgomery, H. L.; Vaughan, R. C.
124
1973
The pair correlation of zeros of the zeta function. Zbl 0268.10023
Montgomery, H. L.
80
1973
Error terms in additive prime number theory. Zbl 0257.10027
Montgomery, H. L.; Vaughan, R. C.
30
1973
Hilbert’s inequality and the large sieve (results of Montgomery and Vaughan). Zbl 0277.10038
Montgomery, Hugh
2
1972
Topics in multiplicative number theory. Zbl 0216.03501
Montgomery, Hugh L.
287
1971
Algebraic integers near the unit circle. Zbl 0221.12003
Blanksby, P. E.; Montgomery, H. L.
27
1971
Primes in arithmetic progressions. Zbl 0209.34804
Montgomery, H. L.
30
1970
Zeros of L-functions. Zbl 0204.37401
Montgomery, H. L.
31
1969
Mean and large values of Dirichlet polynomials. Zbl 0204.37301
Montgomery, H. L.
26
1969
A note on the large sieve. Zbl 0254.10043
Montgomery, H. L.
28
1968
Distribution of irregulär primes. Zbl 0131.04501
Montgomery, H. L.
6
1965
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

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