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Montgomery, Hugh Lowell

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
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 Goldston, Daniel Alan
3 Wooley, Trevor D.
2 Davenport, Harold
2 Gallagher, Patrick X.
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 Bui, Hung Manh
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 Dieudonné, Jean
1 Dyson, Freeman John
1 Enflo, Per Henrik
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 Milinovich, Micah B.
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
...and 2 more Co-Authors
all top 5

Serials

8 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

79 Publications have been cited 3,186 times in 2,617 Documents Cited by Year
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
432
2007
Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001
Davenport, Harold
402
2000
Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002
Davenport, Harold
394
1980
Topics in multiplicative number theory. Zbl 0216.03501
Montgomery, Hugh L.
357
1971
Ten lectures on the interface between analytic number theory and harmonic analysis. Zbl 0814.11001
Montgomery, Hugh L.
300
1994
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
261
1991
The pair correlation of zeros of the zeta function. Zbl 0268.10023
Montgomery, H. L.
210
1973
The large sieve. Zbl 0296.10023
Montgomery, H. L.; Vaughan, R. C.
168
1973
Hilbert’s inequality. Zbl 0281.10021
Montgomery, H. L.; Vaughan, R. C.
144
1974
The analytic principle of the large sieve. Zbl 0408.10033
Montgomery, Hugh L.
86
1978
Exponential sums with multiplicative coefficients. Zbl 0362.10036
Montgomery, H. L.; Vaughan, R. C.
78
1977
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
75
1975
A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014
Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M.
73
1979
Minimal theta functions. Zbl 0639.10017
Montgomery, Hugh L.
59
1988
Extreme values of the Riemann zeta function. Zbl 0373.10024
Montgomery, Hugh L.
56
1977
Cyclotomic fields with unique factorization. Zbl 0335.12013
Masley, John M.; Montgomery, Hugh L.
53
1976
Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025
Levinson, Norman; Montgomery, Hugh L.
52
1974
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
46
1990
Primes in arithmetic progressions. Zbl 0209.34804
Montgomery, H. L.
42
1970
Zeros of L-functions. Zbl 0204.37401
Montgomery, H. L.
37
1969
Pair correlation of zeros and primes in short intervals. Zbl 0629.10032
Goldston, Daniel A.; Montgomery, Hugh L.
36
1987
Error terms in additive prime number theory. Zbl 0257.10027
Montgomery, H. L.; Vaughan, R. C.
33
1973
A note on the large sieve. Zbl 0254.10043
Montgomery, H. L.
30
1968
Mean and large values of Dirichlet polynomials. Zbl 0204.37301
Montgomery, H. L.
29
1969
Algebraic integers near the unit circle. Zbl 0221.12003
Blanksby, P. E.; Montgomery, H. L.
28
1971
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
26
2004
Notes on small class numbers. Zbl 0285.12004
Montgomery, H. L.; Weinberger, P. J.
26
1974
Fluctuations in the mean of Euler’s phi function. Zbl 0656.10042
Montgomery, Hugh L.
23
1987
Note on a Diophantine inequality in several variables. Zbl 0963.11039
Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D.
23
2001
Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002
Montgomery, Hugh L; Vaughan, Robert C.
22
2012
Beurling primes with large oscillation. Zbl 1207.11105
Diamond, Harold G.; Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
21
2006
Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040
Montgomery, H. L.; Vaughan, R. C.
21
1999
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, H. L.; Vaughan, R. C.
21
2001
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
17
1986
The distribution of squarefree numbers. Zbl 0462.10029
Montgomery, H. L.; Vaughan, R. C.
17
1981
Gaps between zeros of the zeta function. Zbl 0546.10033
Montgomery, H. L.; Odlyzko, A. M.
16
1984
An exponential polynomial formed with the Legendre symbol. Zbl 0369.10024
Montgomery, Hugh L.
16
1980
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.
14
2001
On the L-functions of canonical Hecke characters of imaginary quadratic fields. II. Zbl 0523.12010
Montgomery, Hugh L.; Rohrlich, David E.
13
1982
Zeros of approximations to the zeta function. Zbl 0518.10046
Montgomery, H. L.
13
1983
On the Erdős-Fuchs theorems. Zbl 0715.11005
Montgomery, H. L.; Vaughan, R. C.
13
1990
Distribution of the zeros of the Riemann zeta-function. Zbl 0342.10020
Montgomery, Hugh L.
13
1975
Kronecker’s approximation theorem. Zbl 1347.11053
Gonek, Steven M.; Montgomery, Hugh L.
12
2016
Real quadratic fields with large class number. Zbl 0325.12001
Montgomery, Hugh L.; Weinberger, Peter J.
11
1977
Mean values of character sums. Zbl 0416.10030
Montgomery, H. L.; Vaughan, R. C.
10
1979
Early Fourier analysis. Zbl 1316.42001
Montgomery, Hugh L.
10
2014
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
10
1995
Beyond pair correlation. Zbl 1095.11043
Montgomery, H. L.; Soundararajan, K.
10
2002
On zeros of \(p\)-adic forms. Zbl 0531.10026
Lewis, D. J.; Montgomery, Hugh L.
9
1983
Oscillations of quadratic L-functions. Zbl 0718.11039
Baker, R. C.; Montgomery, H. L.
9
1990
Large deviations of sums of independent random variables. Zbl 0641.60032
Montgomery, Hugh L.; Odlyzko, Andrew M.
9
1988
The zeta function and prime numbers. Zbl 0451.10023
Montgomery, H. L.
8
1980
The sum of the Möbius function. Zbl 1241.11121
Maier, H.; Montgomery, H. L.
8
2009
Distribution of irregulär primes. Zbl 0131.04501
Montgomery, H. L.
6
1965
A note on Burgess’s estimate. Zbl 1271.11085
Gallagher, P. X.; Montgomery, H. L.
6
2010
Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026
Fujii, Akio; Gallagher, P. X.; Montgomery, H. L.
6
1976
Zeros of a family of approximations of the Riemann zeta-function. Zbl 1297.11101
Gonek, Steven M.; Montgomery, Hugh L.
5
2013
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
Some arithmetic properties of polynomials in several variables. Zbl 0369.12014
Montgomery, H. L.; Schinzel, Andrzej
5
1977
The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009
Montgomery, H. L.; Vaughan, R. C.
4
1985
Spirals of the zeta function. I. Zbl 1356.11047
Gonek, Steven M.; Montgomery, Hugh L.
4
2015
Harmonic analysis as found in analytic number theory. Zbl 1001.11001
Montgomery, Hugh L.
4
2001
Littlewood polynomials. Zbl 1391.42004
Montgomery, Hugh L.
4
2017
A further generalization of Hilbert’s inequality. Zbl 0964.11039
Montgomery, Hugh L.; Vaaler, Jeffrey D.
3
1999
Distribution of small powers of a primitive root. Zbl 0806.11041
Montgomery, Hugh L.
3
1993
Cyclotomic partitions. Zbl 0697.10040
Boyd, David W.; Montgomery, Hugh L.
3
1990
Maximal variants of the large sieve. Zbl 0498.10024
Montgomery, Hugh L.
3
1981
Changes of sign of the error term in the prime number theorem. Zbl 1196.11125
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
3
2006
Problems concerning prime numbers. Zbl 0342.10019
Montgomery, Hugh L.
3
1976
Selberg’s work on the zeta-function. Zbl 0671.10001
Montgomery, Hugh L.
2
1989
John Edensor Littlewood. Zbl 0409.01010
Burkill, J. C.
2
1979
Hilbert’s inequality and the large sieve (results of Montgomery and Vaughan). Zbl 0277.10038
Montgomery, Hugh
2
1972
A note on rearrangements of Fourier coefficients. Zbl 0318.42009
Montgomery, Hugh L.
2
1976
A heuristic for the prime number theorem. Zbl 1159.11032
Montgomery, Hugh L.; Wagon, Stan
2
2006
On a question of Ramachandra. Zbl 0515.10041
Montgomery, Hugh L.
1
1982
Biased trigonometric polynomials. Zbl 1268.42001
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
1
2007
Greedy sums of distinct squares. Zbl 1028.11013
Montgomery, Hugh L.; Vorhauer, Ulrike M. A.
1
2004
Moments of a Thue-Morse generating function. Zbl 1448.11059
Mauduit, Christian; Montgomery, Hugh L.; Rivat, J.
1
2018
Small gaps and small spacings between zeta zeros. Zbl 07771569
Bui, Hung M.; Goldston, Daniel A.; Milinovich, Micah B.; Montgomery, Hugh L.
1
2023
Small gaps and small spacings between zeta zeros. Zbl 07771569
Bui, Hung M.; Goldston, Daniel A.; Milinovich, Micah B.; Montgomery, Hugh L.
1
2023
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.
4
2017
Kronecker’s approximation theorem. Zbl 1347.11053
Gonek, Steven M.; Montgomery, Hugh L.
12
2016
Spirals of the zeta function. I. Zbl 1356.11047
Gonek, Steven M.; Montgomery, Hugh L.
4
2015
Early Fourier analysis. Zbl 1316.42001
Montgomery, Hugh L.
10
2014
Zeros of a family of approximations of the Riemann zeta-function. Zbl 1297.11101
Gonek, Steven M.; Montgomery, Hugh L.
5
2013
Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002
Montgomery, Hugh L; Vaughan, Robert C.
22
2012
A note on Burgess’s estimate. Zbl 1271.11085
Gallagher, P. X.; Montgomery, H. L.
6
2010
The sum of the Möbius function. Zbl 1241.11121
Maier, H.; Montgomery, H. L.
8
2009
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
432
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.
21
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
2
2006
Primes in short intervals. Zbl 1124.11048
Montgomery, Hugh L.; Soundararajan, K.
26
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.
10
2002
Note on a Diophantine inequality in several variables. Zbl 0963.11039
Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D.
23
2001
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, H. L.; Vaughan, R. C.
21
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.
14
2001
Harmonic analysis as found in analytic number theory. Zbl 1001.11001
Montgomery, Hugh L.
4
2001
Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001
Davenport, Harold
402
2000
Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040
Montgomery, H. L.; Vaughan, R. C.
21
1999
A further generalization of Hilbert’s inequality. Zbl 0964.11039
Montgomery, Hugh L.; Vaaler, Jeffrey D.
3
1999
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
10
1995
Ten lectures on the interface between analytic number theory and harmonic analysis. Zbl 0814.11001
Montgomery, Hugh L.
300
1994
Distribution of small powers of a primitive root. Zbl 0806.11041
Montgomery, Hugh L.
3
1993
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
261
1991
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
46
1990
On the Erdős-Fuchs theorems. Zbl 0715.11005
Montgomery, H. L.; Vaughan, R. C.
13
1990
Oscillations of quadratic L-functions. Zbl 0718.11039
Baker, R. C.; Montgomery, H. L.
9
1990
Cyclotomic partitions. Zbl 0697.10040
Boyd, David W.; Montgomery, Hugh L.
3
1990
Selberg’s work on the zeta-function. Zbl 0671.10001
Montgomery, Hugh L.
2
1989
Minimal theta functions. Zbl 0639.10017
Montgomery, Hugh L.
59
1988
Large deviations of sums of independent random variables. Zbl 0641.60032
Montgomery, Hugh L.; Odlyzko, Andrew M.
9
1988
Pair correlation of zeros and primes in short intervals. Zbl 0629.10032
Goldston, Daniel A.; Montgomery, Hugh L.
36
1987
Fluctuations in the mean of Euler’s phi function. Zbl 0656.10042
Montgomery, Hugh L.
23
1987
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
17
1986
The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009
Montgomery, H. L.; Vaughan, R. C.
4
1985
Gaps between zeros of the zeta function. Zbl 0546.10033
Montgomery, H. L.; Odlyzko, A. M.
16
1984
Zeros of approximations to the zeta function. Zbl 0518.10046
Montgomery, H. L.
13
1983
On zeros of \(p\)-adic forms. Zbl 0531.10026
Lewis, D. J.; Montgomery, Hugh L.
9
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.
17
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
394
1980
An exponential polynomial formed with the Legendre symbol. Zbl 0369.10024
Montgomery, Hugh L.
16
1980
The zeta function and prime numbers. Zbl 0451.10023
Montgomery, H. L.
8
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.
73
1979
Mean values of character sums. Zbl 0416.10030
Montgomery, H. L.; Vaughan, R. C.
10
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.
86
1978
Exponential sums with multiplicative coefficients. Zbl 0362.10036
Montgomery, H. L.; Vaughan, R. C.
78
1977
Extreme values of the Riemann zeta function. Zbl 0373.10024
Montgomery, Hugh L.
56
1977
Real quadratic fields with large class number. Zbl 0325.12001
Montgomery, Hugh L.; Weinberger, Peter J.
11
1977
Some arithmetic properties of polynomials in several variables. Zbl 0369.12014
Montgomery, H. L.; Schinzel, Andrzej
5
1977
Cyclotomic fields with unique factorization. Zbl 0335.12013
Masley, John M.; Montgomery, Hugh L.
53
1976
Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026
Fujii, Akio; Gallagher, P. X.; Montgomery, H. L.
6
1976
Problems concerning prime numbers. Zbl 0342.10019
Montgomery, Hugh L.
3
1976
A note on rearrangements of Fourier coefficients. Zbl 0318.42009
Montgomery, Hugh L.
2
1976
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
75
1975
Distribution of the zeros of the Riemann zeta-function. Zbl 0342.10020
Montgomery, Hugh L.
13
1975
Hilbert’s inequality. Zbl 0281.10021
Montgomery, H. L.; Vaughan, R. C.
144
1974
Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025
Levinson, Norman; Montgomery, Hugh L.
52
1974
Notes on small class numbers. Zbl 0285.12004
Montgomery, H. L.; Weinberger, P. J.
26
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 pair correlation of zeros of the zeta function. Zbl 0268.10023
Montgomery, H. L.
210
1973
The large sieve. Zbl 0296.10023
Montgomery, H. L.; Vaughan, R. C.
168
1973
Error terms in additive prime number theory. Zbl 0257.10027
Montgomery, H. L.; Vaughan, R. C.
33
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.
357
1971
Algebraic integers near the unit circle. Zbl 0221.12003
Blanksby, P. E.; Montgomery, H. L.
28
1971
Primes in arithmetic progressions. Zbl 0209.34804
Montgomery, H. L.
42
1970
Zeros of L-functions. Zbl 0204.37401
Montgomery, H. L.
37
1969
Mean and large values of Dirichlet polynomials. Zbl 0204.37301
Montgomery, H. L.
29
1969
A note on the large sieve. Zbl 0254.10043
Montgomery, H. L.
30
1968
Distribution of irregulär primes. Zbl 0131.04501
Montgomery, H. L.
6
1965
all top 5

Cited by 2,251 Authors

51 Laurinčikas, Antanas
35 Shparlinski, Igor E.
28 Zaharescu, Alexandru
25 Luca, Florian
25 Vaughan, Robert C.
23 Soundararajan, Kannan
22 Zhao, Liangyi
21 Bétermin, Laurent
20 Goldston, Daniel Alan
20 Gonek, Steven M.
20 Montgomery, Hugh Lowell
20 Perelli, Alberto
20 Tenenbaum, Gérald
18 Banks, William David
18 Harman, Glyn
18 Wu, Jie
17 Gao, Peng
17 Granville, Andrew James
17 Languasco, Alessandro
17 Pintz, Janos
16 Carneiro, Emanuel
16 Martin, Greg
16 Miller, Steven J.
16 Steuding, Jörn
15 Milinovich, Micah B.
15 Pollack, Paul
15 Ramaré, Olivier
14 Lamzouri, Youness
14 Macaitienė, Renata
14 Wolke, Dieter
13 Fomenko, Oleg Mstislavovich
13 Ng, Nathan C.
13 Ramachandra, Kanakanahalli
13 Sankaranarayanan, Ayyadurai
13 Tao, Terence
13 Zaccagnini, Alessandro
12 Conrey, John Brian
12 de la Bretèche, Régis
12 Erdélyi, Tamás
12 Kaczorowski, Jerzy
12 Keating, Jonathan Peter
12 Matomäki, Kaisa
12 Murty, Maruti Ram
12 Radziwiłł, Maksym
12 Seip, Kristian
12 Šiaučiūnas, Darius
12 Suriajaya, Ade Irma
12 Thorner, Jesse
11 Baier, Stephan
11 Bui, Hung Manh
11 Ivić, Aleksandar
11 Pomerance, Carl Bernard
11 Rivat, Joël
11 Trudgian, Timothy S.
11 Vaaler, Jeffrey D.
10 Harper, Adam J.
10 Kumchev, Angel V.
10 Munsch, Marc
10 Rodgers, Brad
10 Roy, Arindam
10 Sárközy, András
10 Turnage-Butterbaugh, Caroline L.
9 Chandee, Vorrapan
9 Chirre, Andrés
9 Cochrane, Todd
9 Fiorilli, Daniel
9 Garunkštis, Ramūnas
9 Halupczok, Karin
9 Heath-Brown, Roger
9 Huang, Jingjing
9 Mauduit, Christian
9 Mossinghoff, Michael J.
9 Sarnak, Peter Clive
9 Steinerberger, Stefan
9 Travaglini, Giancarlo
9 Zaman, Asif
8 Aymone, Marco
8 Baker, Roger C.
8 Bourgain, Jean
8 Brandolini, Luca
8 Chamizo Lorente, Fernando
8 Faulhuber, Markus
8 Ford, Kevin B.
8 Kiuchi, Isao
8 Konyagin, Sergeĭ Vladimirovich
8 Korolëv, Maksim Aleksandrovich
8 Lau, Yuk-Kam
8 Liu, Jianya
8 Liu, Ming-Chit
8 Matsumoto, Kohji
8 Xiao, Xuanxuan
8 Yıldırım, Cem Yalçın
7 Aistleitner, Christoph
7 Alkan, Emre
7 Balog, Antal
7 Brüdern, Jörg
7 Diamond, Harold George
7 Doğru, Ogün
7 Dubickas, Artūras
7 Fouvry, Etienne
...and 2,151 more Authors
all top 5

Cited in 367 Serials

284 Journal of Number Theory
84 International Journal of Number Theory
69 Proceedings of the American Mathematical Society
69 Transactions of the American Mathematical Society
63 Mathematika
58 Mathematics of Computation
56 The Ramanujan Journal
54 Journal de Théorie des Nombres de Bordeaux
47 Monatshefte für Mathematik
45 Acta Arithmetica
44 Mathematische Annalen
41 Acta Mathematica Hungarica
40 Journal of Mathematical Analysis and Applications
40 Mathematische Zeitschrift
39 Advances in Mathematics
39 Functiones et Approximatio. Commentarii Mathematici
36 Lithuanian Mathematical Journal
35 Archiv der Mathematik
33 Mathematical Proceedings of the Cambridge Philosophical Society
30 Inventiones Mathematicae
28 Duke Mathematical Journal
24 Research in Number Theory
23 Israel Journal of Mathematics
23 Rocky Mountain Journal of Mathematics
21 Mathematical Notes
21 Experimental Mathematics
19 Compositio Mathematica
19 Proceedings of the Steklov Institute of Mathematics
18 Indagationes Mathematicae. New Series
18 Journal of Mathematical Sciences (New York)
18 Integers
17 Journal d’Analyse Mathématique
17 Bulletin of the London Mathematical Society
17 Proceedings of the London Mathematical Society. Third Series
15 Periodica Mathematica Hungarica
15 Annales de l’Institut Fourier
15 Journal of Algebra
13 Discrete Mathematics
13 Journal of the London Mathematical Society. Second Series
13 Finite Fields and their Applications
12 Bulletin of the Australian Mathematical Society
12 Manuscripta Mathematica
12 Constructive Approximation
12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
12 Journal of Physics A: Mathematical and Theoretical
12 Algebra & Number Theory
11 Journal of Functional Analysis
10 Communications in Mathematical Physics
10 Journal of Approximation Theory
10 Proceedings of the Japan Academy. Series A
10 Journal of the American Mathematical Society
10 Geometric and Functional Analysis. GAFA
10 Bulletin of the American Mathematical Society. New Series
10 The Journal of Fourier Analysis and Applications
10 Acta Mathematica Sinica. English Series
10 Chebyshevskiĭ Sbornik
9 American Mathematical Monthly
9 Journal für die Reine und Angewandte Mathematik
9 Forum Mathematicum
9 Journal of Integer Sequences
9 Journal of the Australian Mathematical Society
9 European Journal of Mathematics
8 Glasgow Mathematical Journal
8 Expositiones Mathematicae
8 Annals of Mathematics. Second Series
8 Journal of the European Mathematical Society (JEMS)
8 Journal of Statistical Mechanics: Theory and Experiment
8 Science China. Mathematics
7 Indian Journal of Pure & Applied Mathematics
7 Journal of Statistical Physics
7 Canadian Journal of Mathematics
7 Canadian Mathematical Bulletin
7 Czechoslovak Mathematical Journal
7 Journal of Soviet Mathematics
7 Mathematische Nachrichten
7 Michigan Mathematical Journal
7 Revista Matemática Iberoamericana
7 Mathematical Modelling and Analysis
7 JP Journal of Algebra, Number Theory and Applications
6 Acta Mathematica Academiae Scientiarum Hungaricae
6 Arkiv för Matematik
6 The Mathematical Intelligencer
6 Applied Mathematics and Computation
6 Journal of Pure and Applied Algebra
6 Results in Mathematics
6 Topology and its Applications
6 Journal of Symbolic Computation
6 Mathematical and Computer Modelling
6 Designs, Codes and Cryptography
6 St. Petersburg Mathematical Journal
6 Journal of Inequalities and Applications
6 Research in the Mathematical Sciences
5 Computers & Mathematics with Applications
5 Communications on Pure and Applied Mathematics
5 Journal of Mathematical Physics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Illinois Journal of Mathematics
5 Linear Algebra and its Applications
5 Applied and Computational Harmonic Analysis
...and 267 more Serials
all top 5

Cited in 60 Fields

2,180 Number theory (11-XX)
116 Functions of a complex variable (30-XX)
111 Harmonic analysis on Euclidean spaces (42-XX)
99 Probability theory and stochastic processes (60-XX)
92 Combinatorics (05-XX)
80 Algebraic geometry (14-XX)
74 Approximations and expansions (41-XX)
60 Dynamical systems and ergodic theory (37-XX)
58 Linear and multilinear algebra; matrix theory (15-XX)
55 Group theory and generalizations (20-XX)
49 Statistical mechanics, structure of matter (82-XX)
44 Real functions (26-XX)
44 Computer science (68-XX)
39 Quantum theory (81-XX)
38 Field theory and polynomials (12-XX)
38 Information and communication theory, circuits (94-XX)
34 Sequences, series, summability (40-XX)
34 Numerical analysis (65-XX)
33 Operator theory (47-XX)
32 Partial differential equations (35-XX)
32 Functional analysis (46-XX)
31 Special functions (33-XX)
26 Convex and discrete geometry (52-XX)
19 Manifolds and cell complexes (57-XX)
17 Commutative algebra (13-XX)
17 Associative rings and algebras (16-XX)
17 Global analysis, analysis on manifolds (58-XX)
16 Statistics (62-XX)
15 Measure and integration (28-XX)
15 General topology (54-XX)
12 Differential geometry (53-XX)
11 History and biography (01-XX)
11 Topological groups, Lie groups (22-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Mechanics of deformable solids (74-XX)
10 Mathematical logic and foundations (03-XX)
10 Difference and functional equations (39-XX)
10 Abstract harmonic analysis (43-XX)
10 Geometry (51-XX)
9 Integral transforms, operational calculus (44-XX)
7 General and overarching topics; collections (00-XX)
7 Potential theory (31-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Operations research, mathematical programming (90-XX)
5 Ordinary differential equations (34-XX)
5 Systems theory; control (93-XX)
4 General algebraic systems (08-XX)
3 Integral equations (45-XX)
3 Algebraic topology (55-XX)
3 Mechanics of particles and systems (70-XX)
2 Nonassociative rings and algebras (17-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
2 Biology and other natural sciences (92-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 \(K\)-theory (19-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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