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## Gallagher, Patrick X.

Compute Distance To:
 Author ID: gallagher.patrick-x Published as: Gallagher, P.; Gallagher, P. X.; Gallagher, Patrick; Gallagher, Patrick X. External Links: MGP · Wikidata
 Documents Indexed: 50 Publications since 1962
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#### Co-Authors

 44 single-authored 2 Montgomery, Hugh Lowell 1 Fujii, Akio 1 Kou, Rai 1 Lyu, Tairu 1 Mueller, Julia H. 1 Proulx, R. J. 1 Ramsey, L. Thomas 1 Taniguchi, Takashi 1 Tian, Fanglin 1 Wang, Feng 1 Watanabe, Kenji 1 Wells, Benjamin B. jun. 1 Yang, Chan-Shan 1 Zhang, Hai
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#### Serials

 7 Mathematische Zeitschrift 5 Mathematika 3 Acta Arithmetica 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 2 Archiv der Mathematik 2 Journal of Algebra 2 Journal of the London Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Journal of Group Theory 1 Science 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
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#### Fields

 20 Number theory (11-XX) 9 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 590 times in 531 Documents Cited by Year
A large sieve density estimate near $$\sigma = 1$$. Zbl 0219.10048
Gallagher, P. X.
1970
The large sieve. Zbl 0163.04401
Gallagher, P. X.
1967
The number of conjugacy classes in a finite group. Zbl 0221.20006
Gallagher, Patrick X.
1970
Group characters and normal Hall subgroups. Zbl 0114.25603
Gallagher, P. X.
1962
On the distribution of primes in short intervals. Zbl 0346.10024
Gallagher, P. X.
1976
Primes and powers of 2. Zbl 0305.10044
Gallagher, P. X.
1975
Metric simultaneous diophantine approximation. Zbl 0124.02902
Gallagher, P.
1962
Bombieri’s mean value theorem. Zbl 0174.08103
Gallagher, P. X.
1968
Approximation by reduced fractions. Zbl 0106.04106
Gallagher, Patrick
1962
Primes in progressions to prime-power modulus. Zbl 0246.10030
Gallagher, P. X.
1972
Pair correlation of zeros of the zeta function. Zbl 0565.10033
Gallagher, P. X.
1985
The large sieve and probabilistic Galois theory. Zbl 0279.10036
Gallagher, P. X.
1973
A larger sieve. Zbl 0231.10028
Gallagher, P. X.
1971
Metric simultaneous diophantine approximation. II. Zbl 0142.01504
Gallagher, P. X.
1965
Group characters and commutators. Zbl 0129.01902
Gallagher, P. X.
1962
Some consequences of the Riemann hypothesis. Zbl 0444.10034
Gallagher, P. X.
1980
Primes and zeros in short intervals. Zbl 0396.10028
Gallagher, P. X.; Mueller, Julia H.
1978
The generation of the lower central series. Zbl 0134.26202
Gallagher, P. X.
1965
Orthogonal and unitary invariants of families of subspaces. Zbl 0369.15001
Gallagher, P. X.; Proulx, R. J.
1977
Determinants of representations of finite groups. Zbl 0132.27306
Gallagher, P. X.
1965
Functional equation for spherical functions on finite groups. Zbl 0317.43015
Gallagher, Patrick X.
1975
Group characters and Sylow subgroups. Zbl 0135.05502
Gallagher, P. X.
1964
Local mean value and density estimates for Dirichlet L-functions. Zbl 0311.10043
Gallagher, P. X.
1975
Sieving by prime powers. Zbl 0276.10026
Gallagher, P. X.
1974
Zeros of characters of finite groups. Zbl 0146.25503
Gallagher, P. X.
1966
Zeros of group characters. Zbl 0128.25602
Gallagher, P. X.
1965
A note on Burgess’s estimate. Zbl 1271.11085
Gallagher, P. X.; Montgomery, H. L.
2010
Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026
Fujii, Akio; Gallagher, P. X.; Montgomery, H. L.
1976
Counting finite groups of given order. Zbl 0189.02304
Gallagher, P. X.
1967
Degrees, class sizes and divisors of character values. Zbl 1270.20003
Gallagher, Patrick X.
2012
Corrigendum: On the distribution of primes in short intervals. Zbl 0458.10029
Gallagher, P. X.
1981
Invariants for finite groups. Zbl 0412.20005
Gallagher, P. X.
1979
Non-real zeros of real entire functions. Zbl 0158.07002
Gallagher, P. X.
1965
Some algebraic differential equations with few transcendental solutions. Zbl 1327.30031
Gallagher, P. X.
2015
A double sum over primes and zeros of the zeta-function. Zbl 0666.10025
Gallagher, P. X.
1989
Applications of Guinand’s formula. Zbl 0636.10033
Gallagher, P. X.
1987
The number of conjugacy classes in a finite group. Zbl 0257.20007
Gallagher, P. X.
1971
The conjugacy classes in a finite simple group. Zbl 0185.06103
Gallagher, P. X.
1969
On the p-subgroups of a finite group. Zbl 0178.02103
Gallagher, P. X.
1967
Some algebraic differential equations with few transcendental solutions. Zbl 1327.30031
Gallagher, P. X.
2015
Degrees, class sizes and divisors of character values. Zbl 1270.20003
Gallagher, Patrick X.
2012
A note on Burgess’s estimate. Zbl 1271.11085
Gallagher, P. X.; Montgomery, H. L.
2010
A double sum over primes and zeros of the zeta-function. Zbl 0666.10025
Gallagher, P. X.
1989
Applications of Guinand’s formula. Zbl 0636.10033
Gallagher, P. X.
1987
Pair correlation of zeros of the zeta function. Zbl 0565.10033
Gallagher, P. X.
1985
Corrigendum: On the distribution of primes in short intervals. Zbl 0458.10029
Gallagher, P. X.
1981
Some consequences of the Riemann hypothesis. Zbl 0444.10034
Gallagher, P. X.
1980
Invariants for finite groups. Zbl 0412.20005
Gallagher, P. X.
1979
Primes and zeros in short intervals. Zbl 0396.10028
Gallagher, P. X.; Mueller, Julia H.
1978
Orthogonal and unitary invariants of families of subspaces. Zbl 0369.15001
Gallagher, P. X.; Proulx, R. J.
1977
On the distribution of primes in short intervals. Zbl 0346.10024
Gallagher, P. X.
1976
Some hybrid bounds for character sums and Dirichlet L-series. Zbl 0337.10026
Fujii, Akio; Gallagher, P. X.; Montgomery, H. L.
1976
Primes and powers of 2. Zbl 0305.10044
Gallagher, P. X.
1975
Functional equation for spherical functions on finite groups. Zbl 0317.43015
Gallagher, Patrick X.
1975
Local mean value and density estimates for Dirichlet L-functions. Zbl 0311.10043
Gallagher, P. X.
1975
Sieving by prime powers. Zbl 0276.10026
Gallagher, P. X.
1974
The large sieve and probabilistic Galois theory. Zbl 0279.10036
Gallagher, P. X.
1973
Primes in progressions to prime-power modulus. Zbl 0246.10030
Gallagher, P. X.
1972
A larger sieve. Zbl 0231.10028
Gallagher, P. X.
1971
The number of conjugacy classes in a finite group. Zbl 0257.20007
Gallagher, P. X.
1971
A large sieve density estimate near $$\sigma = 1$$. Zbl 0219.10048
Gallagher, P. X.
1970
The number of conjugacy classes in a finite group. Zbl 0221.20006
Gallagher, Patrick X.
1970
The conjugacy classes in a finite simple group. Zbl 0185.06103
Gallagher, P. X.
1969
Bombieri’s mean value theorem. Zbl 0174.08103
Gallagher, P. X.
1968
The large sieve. Zbl 0163.04401
Gallagher, P. X.
1967
Counting finite groups of given order. Zbl 0189.02304
Gallagher, P. X.
1967
On the p-subgroups of a finite group. Zbl 0178.02103
Gallagher, P. X.
1967
Zeros of characters of finite groups. Zbl 0146.25503
Gallagher, P. X.
1966
Metric simultaneous diophantine approximation. II. Zbl 0142.01504
Gallagher, P. X.
1965
The generation of the lower central series. Zbl 0134.26202
Gallagher, P. X.
1965
Determinants of representations of finite groups. Zbl 0132.27306
Gallagher, P. X.
1965
Zeros of group characters. Zbl 0128.25602
Gallagher, P. X.
1965
Non-real zeros of real entire functions. Zbl 0158.07002
Gallagher, P. X.
1965
Group characters and Sylow subgroups. Zbl 0135.05502
Gallagher, P. X.
1964
Group characters and normal Hall subgroups. Zbl 0114.25603
Gallagher, P. X.
1962
Metric simultaneous diophantine approximation. Zbl 0124.02902
Gallagher, P.
1962
Approximation by reduced fractions. Zbl 0106.04106
Gallagher, Patrick
1962
Group characters and commutators. Zbl 0129.01902
Gallagher, P. X.
1962
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#### Cited by 490 Authors

 13 Pintz, Janos 11 Goldston, Daniel Alan 11 Wolke, Dieter 10 Liu, Ming-Chit 9 Bauer, Claus 9 Gallagher, Patrick X. 9 Guralnick, Robert Michael 9 Liu, Jianya 8 Haynes, Alan K. 8 Lu, Guangshi 7 Languasco, Alessandro 7 Maier, Helmut 7 Perelli, Alberto 7 Velani, Sanju L. 7 Zhao, Liangyi 6 Baier, Stephan 6 Carneiro, Emanuel 6 Elsholtz, Christian 6 Fujii, Akio 6 Motohashi, Yoichi 6 Shparlinski, Igor E. 6 Tao, Terence 6 Young, Matthew P. 6 Zaccagnini, Alessandro 5 Banks, William D. 5 Cai, Yingchun 5 Gonçalves, Felipe M. 5 Granville, Andrew James 5 Isaacs, I. Martin 5 Littmann, Friedrich 5 Maynard, James 5 Soundararajan, Kannan 5 Vaughan, Robert C. 5 Vera-López, Antonio 5 Yıldırım, Cem Yalçın 5 Zaharescu, Alexandru 4 Beresnevich, Victor V. 4 Chen, Xiaoyou 4 Erfanian, Ahmad 4 Freiberg, Tristan 4 Hussain, Mumtaz 4 Lewis, Mark L. 4 Liu, Zhixin 4 Montgomery, Hugh Lowell 4 Sárközy, András 4 Wang, Tianze 4 Zhan, Tao 3 Alkan, Emre 3 Avdispahić, Muharem 3 Bourgain, Jean 3 Chow, Sam 3 Dietmann, Rainer 3 Elliott, Peter D. T. A. 3 Ford, Kevin B. 3 Friedlander, John Benjamin 3 Ge, Wenxu 3 Harman, Glyn 3 Herzog, Marcel 3 Hildebrand, Adolf J. 3 Hinz, Jürgen G. 3 Iwaniec, Henryk 3 Levy, Dan 3 Li, Jinjiang 3 Lu, Jiakuan 3 Matomäki, Kaisa Sofia 3 Miller, Alexander R. 3 Navarro, Gabriel 3 Pollington, Andrew Douglas 3 Qu, Yan 3 Ramaré, Olivier 3 Rassias, Michael Th. 3 Rezaei, Rashid 3 Riese, Udo 3 Rohrlich, David E. 3 Schmid, Peter P. 3 Tang, Hengcai 3 Tenenbaum, Gérald 3 Thorner, Jesse 3 Tucker, Thomas W. 3 Warlimont, Richard 3 Zhang, Min 2 Bary-Soroker, Lior 2 Bhowmik, Gautami 2 Brüdern, Jörg 2 Bugeaud, Yann 2 Chamizo Lorente, Fernando 2 Cheer, Angela Y. 2 Chirre, Andrés 2 de la Bretèche, Régis 2 Ghosh, Anish 2 Graham, Sidney W. 2 Green, Ben Joseph 2 Hare, Kathryn E. 2 Harper, Adam J. 2 Heath-Brown, Roger 2 Hilano, Teluhiko 2 Hu, Liqun 2 Kaczorowski, Jerzy 2 Kaplan, Gil 2 Karpilovsky, Gregory ...and 390 more Authors
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#### Cited in 120 Serials

 52 Journal of Number Theory 33 Journal of Algebra 21 Transactions of the American Mathematical Society 17 Mathematische Zeitschrift 15 Mathematische Annalen 15 Acta Mathematica Hungarica 14 Advances in Mathematics 14 Mathematika 13 Proceedings of the American Mathematical Society 13 International Journal of Number Theory 12 Monatshefte für Mathematik 10 The Ramanujan Journal 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Archiv der Mathematik 9 Proceedings of the Japan Academy. Series A 9 Journal de Théorie des Nombres de Bordeaux 8 Bulletin of the Australian Mathematical Society 8 Communications in Algebra 8 Duke Mathematical Journal 8 Acta Mathematica Sinica. English Series 7 Israel Journal of Mathematics 7 Functiones et Approximatio. Commentarii Mathematici 7 Inventiones Mathematicae 7 Proceedings of the Japan Academy 6 Rocky Mountain Journal of Mathematics 6 Glasgow Mathematical Journal 5 Acta Mathematica 5 Compositio Mathematica 5 Journal für die Reine und Angewandte Mathematik 5 Journal of Algebra and its Applications 4 Mathematical Notes 4 Mathematics of Computation 4 Acta Arithmetica 4 Journal of Combinatorial Theory. Series B 4 Journal of Soviet Mathematics 4 Journal of the European Mathematical Society (JEMS) 4 Journal of the Australian Mathematical Society 4 Frontiers of Mathematics in China 4 Algebra & Number Theory 3 Journal of Mathematical Analysis and Applications 3 Lithuanian Mathematical Journal 3 Linear and Multilinear Algebra 3 Annales de l’Institut Fourier 3 Manuscripta Mathematica 3 Science in China. Series A 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Mathematical Sciences (New York) 3 Annals of Mathematics. Second Series 3 Proceedings of the Steklov Institute of Mathematics 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Journal d’Analyse Mathématique 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Czechoslovak Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Experimental Mathematics 2 Representation Theory 2 Journal of Group Theory 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Science China. Mathematics 1 Mathematische Semesterberichte 1 Physics Reports 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Algebra Universalis 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Boletim da Sociedade Brasileira de Matemática 1 Calcolo 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 SIAM Journal on Algebraic and Discrete Methods 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Designs, Codes and Cryptography 1 Aequationes Mathematicae 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Russian Mathematics 1 Tatra Mountains Mathematical Publications 1 Journal of Algebraic Geometry ...and 20 more Serials
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#### Cited in 37 Fields

 381 Number theory (11-XX) 116 Group theory and generalizations (20-XX) 18 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Functions of a complex variable (30-XX) 7 Field theory and polynomials (12-XX) 7 Approximations and expansions (41-XX) 6 Topological groups, Lie groups (22-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Algebraic geometry (14-XX) 4 Abstract harmonic analysis (43-XX) 4 Probability theory and stochastic processes (60-XX) 3 Associative rings and algebras (16-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)

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