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Bateman, Paul Trevier (b. 1919 d. 2012)

Author ID: bateman.paul-t Recent zbMATH articles by "Bateman, Paul Trevier"
Published as: Bateman, P. T.; Bateman, Paul T.; Bateman, Paul
External Links: Celebratio Mathematica · MGP · Wikidata · GND · IdRef
Documents Indexed: 50 Publications since 1949, including 1 Book
7 Contributions as Editor · 5 Further Contributions
Biographic References: 3 Publications
Co-Authors: 43 Co-Authors with 39 Joint Publications
1,417 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 533 times in 500 Documents Cited by Year
A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302
Bateman, P. T.; Horn, Roger A.
91
1962
Handbuch der Lehre von der Verteilung der Primzahlen. 2 Bde. With an appendix by P. T. Bateman. 2nd ed. Zbl 0051.28007
Landau, Edmund
58
1953
Asymptotic distribution of Beurling’s generalized prime numbers. Zbl 0216.31403
Bateman, P. T.; Diamond, H. G.
37
1969
Analytic number theory. An introductory course. Zbl 1074.11001
Bateman, Paul T.; Diamond, Harold G.
34
2004
On Epstein’s zeta function. Zbl 0128.27004
Bateman, P. T.; Grosswald, E.
32
1964
On the representations of a number as the sum of three squares. Zbl 0043.04603
Bateman, Paul T.
27
1951
On a theorem of Erdős and Szekeres. Zbl 0079.07104
Bateman, Paul T.; Grosswald, Emil
26
1958
Elementary number theory. Translated from the German by J. E. Goodman. With added exercises by P. T. Bateman and Eugene Kohlbecker. Zbl 0079.06201
Landau, Edmund
25
1958
Geometrical extrema suggested by a lemma of Besicovitch. Zbl 0043.16202
Bateman, Paul T.; Erdős, Paul
24
1951
The distribution of values of the Euler function. Zbl 0217.31901
Bateman, P. T.
23
1972
The equivalence of two conjectures in the theory of numbers. Zbl 0055.27503
Bateman, P. T.; Chowla, Sarvadaman
22
1954
A limit involving least common multiples. Zbl 1124.11300
Bateman, Paul; Kalb, Jeffrey; Stenger, Allen
22
2002
Monotonicity of partition functions. Zbl 0074.03502
Bateman, Paul T.; Erdős, Pál
19
1956
Note on the coefficients of the cyclotomic polynomial. Zbl 0035.31102
Bateman, P. T.
15
1949
Remark on a recent note on linear forms. Zbl 0083.03801
Bateman, P. T.
15
1958
Waring’s problem for algebraic number fields and primes of the form \((p^ r -1)/(p^ d-1)\). Zbl 0107.03903
Bateman, Paul T.; Stemmler, Rosemarie M.
15
1962
Analytic functions of several complex variables. Lectures delivered at the Institute for Advanced Study during the Fall Term of 1948. Notes by P. T. Bateman. Zbl 0036.05004
Siegel, Carl L.
14
1949
Primes represented by irreducible polynomials in one variable. Zbl 0136.32902
Bateman, Paul T.; Horn, Roger A.
14
1965
The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series. Zbl 0105.02801
Bateman, P. T.; Duquette, Alfred L.
13
1962
A remark on infinite groups. Zbl 0039.25103
Bateman, P. T.
11
1950
Remarks on the size of \(L(1,\chi)\). Zbl 0036.30702
Bateman, Paul T.; Chowla, S.; Erdős, Pál
10
1950
Some new old-fashioned modular identities. Zbl 0909.11018
Bateman, Paul T.; Knopp, Marvin I.
8
1998
Decidability and undecidability of theories with a predicate for the primes. Zbl 0785.03002
Bateman, P. T.; Jockusch, C. G.; Woods, A. R.
7
1993
Positive integers expressible as a sum of three squares in essentially only one way. Zbl 0558.10038
Bateman, Paul T.; Grosswald, Emil
7
1984
Some special trigonometrical series related to the distribution of prime numbers. Zbl 0116.26904
Bateman, P. T.; Chowla, Sarvadaman
7
1963
On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010
Bateman, P. T.; Pomerance, C.; Vaughan, R. C.
6
1984
Averages of character sums. Zbl 0041.01904
Bateman, P. T.; Chowla, Sarvadaman
5
1950
The Erdős-Fuchs theorem on the square of a power series. Zbl 0353.10041
Bateman, Paul T.
5
1977
On the oscillation theorems of Pringsheim and Landau. Zbl 0964.11037
Bateman, Paul T.; Diamond, Harold G.
4
2000
Proof of a conjecture of Grosswald. Zbl 0080.03602
Bateman, Paul T.
4
1958
Some numerical results on Fekete polynomials. Zbl 0301.10036
Bateman, Paul T.; Purdy, George B.; Wagstaff, Samuel S. jun.
4
1975
Linear relations connecting the imaginary parts of the zeros of the zeta function. Zbl 0216.03601
Bateman, P. T.; Brown, J. W.; Hall, R. S.; Kloss, K. E.; Stemmler, R. M.
4
1971
Imaginary quadratic fields with unique factorization. Zbl 0100.03103
Bateman, Paul T.; Grosswald, Emil
3
1962
Eugene E. Kohlbecker and Jack P. Tull: On a theorem of Erdős and Fuchs in additive number theory. Zbl 0112.27405
Bateman, P. T.
3
1963
Sums of squares and the preservation of modularity under congruence restrictions. Zbl 1040.11018
Bateman, Paul T.; Datskovsky, Boris A.; Knopp, Marvin I.
2
2001
The arithmetic mean of the divisors of an integer. Zbl 0478.10027
Bateman, Paul T.; Erdős, Paul; Pomerance, Carl; Straus, E. G.
2
1981
Partitions into primes. Zbl 0073.03101
Bateman, Paul T.; Erdős, Pál
2
1956
The new Mersenne conjecture. Zbl 0694.10005
Bateman, P. T.; Selfridge, J. L.; Wagstaff, S. S. jun.
2
1989
Analytic functions of several complex variables. Lectures delivered at the Institute for Advanced Study during the Fall Term of 1948. Notes by P. T. Bateman. Reprint. Zbl 1146.11025
Siegel, Carl L.
2
2008
Prime numbers in arithmetic progressions with difference 24. Zbl 0127.26805
Bateman, P. T.; Low, Marc E.
2
1965
The asymptotic formula for the number of representations of an integer as a sum of five squares. Zbl 0857.11019
Bateman, Paul T.
1
1996
A hundred years of prime numbers. Zbl 0871.11005
Bateman, Paul T.; Diamond, Harold G.
1
1996
Sums of distinct squares. Zbl 0815.11048
Bateman, Paul T.; Hildebrand, Adolf J.; Purdy, George B.
1
1994
Elementary number theory. Translated from the German by J. E. Goodman. With added exercises by P. T. Bateman and Eugene Kohlbecker. Reprint of the 1966 2nd edition. Zbl 1182.11002
Landau, Edmund
1
1999
On the size of the coefficients of the cyclotomic polynomial. Zbl 0512.10005
Bateman, Paul T.
1
1982
Sequences of mass distributions on the unit circle which tend to a uniform distribution. Zbl 0128.27303
Bateman, P. T.
1
1964
Theorems implying the non-vanishing of \(\sum \chi(m)m^{-1}\) for real residue-characters. Zbl 0228.10021
Bateman, Paul T.
1
1961
Analytic functions of several complex variables. Lectures delivered at the Institute for Advanced Study during the Fall Term of 1948. Notes by P. T. Bateman. Reprint. Zbl 1146.11025
Siegel, Carl L.
2
2008
Analytic number theory. An introductory course. Zbl 1074.11001
Bateman, Paul T.; Diamond, Harold G.
34
2004
A limit involving least common multiples. Zbl 1124.11300
Bateman, Paul; Kalb, Jeffrey; Stenger, Allen
22
2002
Sums of squares and the preservation of modularity under congruence restrictions. Zbl 1040.11018
Bateman, Paul T.; Datskovsky, Boris A.; Knopp, Marvin I.
2
2001
On the oscillation theorems of Pringsheim and Landau. Zbl 0964.11037
Bateman, Paul T.; Diamond, Harold G.
4
2000
Elementary number theory. Translated from the German by J. E. Goodman. With added exercises by P. T. Bateman and Eugene Kohlbecker. Reprint of the 1966 2nd edition. Zbl 1182.11002
Landau, Edmund
1
1999
Some new old-fashioned modular identities. Zbl 0909.11018
Bateman, Paul T.; Knopp, Marvin I.
8
1998
The asymptotic formula for the number of representations of an integer as a sum of five squares. Zbl 0857.11019
Bateman, Paul T.
1
1996
A hundred years of prime numbers. Zbl 0871.11005
Bateman, Paul T.; Diamond, Harold G.
1
1996
Sums of distinct squares. Zbl 0815.11048
Bateman, Paul T.; Hildebrand, Adolf J.; Purdy, George B.
1
1994
Decidability and undecidability of theories with a predicate for the primes. Zbl 0785.03002
Bateman, P. T.; Jockusch, C. G.; Woods, A. R.
7
1993
The new Mersenne conjecture. Zbl 0694.10005
Bateman, P. T.; Selfridge, J. L.; Wagstaff, S. S. jun.
2
1989
Positive integers expressible as a sum of three squares in essentially only one way. Zbl 0558.10038
Bateman, Paul T.; Grosswald, Emil
7
1984
On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010
Bateman, P. T.; Pomerance, C.; Vaughan, R. C.
6
1984
On the size of the coefficients of the cyclotomic polynomial. Zbl 0512.10005
Bateman, Paul T.
1
1982
The arithmetic mean of the divisors of an integer. Zbl 0478.10027
Bateman, Paul T.; Erdős, Paul; Pomerance, Carl; Straus, E. G.
2
1981
The Erdős-Fuchs theorem on the square of a power series. Zbl 0353.10041
Bateman, Paul T.
5
1977
Some numerical results on Fekete polynomials. Zbl 0301.10036
Bateman, Paul T.; Purdy, George B.; Wagstaff, Samuel S. jun.
4
1975
The distribution of values of the Euler function. Zbl 0217.31901
Bateman, P. T.
23
1972
Linear relations connecting the imaginary parts of the zeros of the zeta function. Zbl 0216.03601
Bateman, P. T.; Brown, J. W.; Hall, R. S.; Kloss, K. E.; Stemmler, R. M.
4
1971
Asymptotic distribution of Beurling’s generalized prime numbers. Zbl 0216.31403
Bateman, P. T.; Diamond, H. G.
37
1969
Primes represented by irreducible polynomials in one variable. Zbl 0136.32902
Bateman, Paul T.; Horn, Roger A.
14
1965
Prime numbers in arithmetic progressions with difference 24. Zbl 0127.26805
Bateman, P. T.; Low, Marc E.
2
1965
On Epstein’s zeta function. Zbl 0128.27004
Bateman, P. T.; Grosswald, E.
32
1964
Sequences of mass distributions on the unit circle which tend to a uniform distribution. Zbl 0128.27303
Bateman, P. T.
1
1964
Some special trigonometrical series related to the distribution of prime numbers. Zbl 0116.26904
Bateman, P. T.; Chowla, Sarvadaman
7
1963
Eugene E. Kohlbecker and Jack P. Tull: On a theorem of Erdős and Fuchs in additive number theory. Zbl 0112.27405
Bateman, P. T.
3
1963
A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302
Bateman, P. T.; Horn, Roger A.
91
1962
Waring’s problem for algebraic number fields and primes of the form \((p^ r -1)/(p^ d-1)\). Zbl 0107.03903
Bateman, Paul T.; Stemmler, Rosemarie M.
15
1962
The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series. Zbl 0105.02801
Bateman, P. T.; Duquette, Alfred L.
13
1962
Imaginary quadratic fields with unique factorization. Zbl 0100.03103
Bateman, Paul T.; Grosswald, Emil
3
1962
Theorems implying the non-vanishing of \(\sum \chi(m)m^{-1}\) for real residue-characters. Zbl 0228.10021
Bateman, Paul T.
1
1961
On a theorem of Erdős and Szekeres. Zbl 0079.07104
Bateman, Paul T.; Grosswald, Emil
26
1958
Elementary number theory. Translated from the German by J. E. Goodman. With added exercises by P. T. Bateman and Eugene Kohlbecker. Zbl 0079.06201
Landau, Edmund
25
1958
Remark on a recent note on linear forms. Zbl 0083.03801
Bateman, P. T.
15
1958
Proof of a conjecture of Grosswald. Zbl 0080.03602
Bateman, Paul T.
4
1958
Monotonicity of partition functions. Zbl 0074.03502
Bateman, Paul T.; Erdős, Pál
19
1956
Partitions into primes. Zbl 0073.03101
Bateman, Paul T.; Erdős, Pál
2
1956
The equivalence of two conjectures in the theory of numbers. Zbl 0055.27503
Bateman, P. T.; Chowla, Sarvadaman
22
1954
Handbuch der Lehre von der Verteilung der Primzahlen. 2 Bde. With an appendix by P. T. Bateman. 2nd ed. Zbl 0051.28007
Landau, Edmund
58
1953
On the representations of a number as the sum of three squares. Zbl 0043.04603
Bateman, Paul T.
27
1951
Geometrical extrema suggested by a lemma of Besicovitch. Zbl 0043.16202
Bateman, Paul T.; Erdős, Paul
24
1951
A remark on infinite groups. Zbl 0039.25103
Bateman, P. T.
11
1950
Remarks on the size of \(L(1,\chi)\). Zbl 0036.30702
Bateman, Paul T.; Chowla, S.; Erdős, Pál
10
1950
Averages of character sums. Zbl 0041.01904
Bateman, P. T.; Chowla, Sarvadaman
5
1950
Note on the coefficients of the cyclotomic polynomial. Zbl 0035.31102
Bateman, P. T.
15
1949
Analytic functions of several complex variables. Lectures delivered at the Institute for Advanced Study during the Fall Term of 1948. Notes by P. T. Bateman. Zbl 0036.05004
Siegel, Carl L.
14
1949
all top 5

Cited by 625 Authors

12 Luca, Florian
10 Zhang, Wenbin
9 Hong, Shaofang
8 Garcia, Stephan Ramon
8 Hilberdink, Titus W.
8 Shparlinski, Igor E.
7 Debruyne, Gregory
7 Diamond, Harold George
7 Vindas, Jasson
6 Qian, Guoyou
5 Hbaib, Mohamed
5 Shanks, Daniel C.
5 Tripathi, Amitabha
4 Bateman, Paul Trevier
4 Bors, Alexander
4 Cooper, Shaun
4 Evans, Anthony B.
4 Korevaar, Jacob
4 Vaughan, Robert C.
3 Alkan, Emre
3 Aygin, Zafer Selçuk
3 Berkovich, Alexander
3 Bousla, Sid Ali
3 Chan, Tsz Ho
3 Farhi, Bakir
3 Goldston, Daniel Alan
3 Ichimura, Humio
3 Kanemitsu, Shigeru
3 Körner, Otto
3 Kthiri, Hassen
3 Laurinčikas, Antanas
3 Milanič, Martin
3 Moree, Pieter
3 Mossinghoff, Michael J.
3 Murty, Maruti Ram
3 Pintz, Janos
3 Richmond, L. Bruce
3 Sanna, Carlo
3 Sebbar, Ahmed
3 Södergren, Anders
3 Stankus, Eugenijus
3 Suryanarayana, D.
3 Tan, Qianrong
3 Tao, Terence
3 Terras, Audrey Anne
3 Wang, Qiang (Steven)
2 Akbary, Amir
2 Alon, Noga
2 Arenstorf, Richard F.
2 Audet, Charles
2 Balog, Antal
2 Bell, Jason P.
2 Ben Nasr, Mabrouk
2 Bohman, Jan
2 Borwein, Peter Benjamin
2 Broucke, Frederik
2 Cao, Liping
2 Cilleruelo, Javier
2 Clark, Peter Louis
2 Compton, Kevin J.
2 Dai, Lixia
2 Duran, Mario M.
2 Elizeche, Edgar Federico
2 Erdélyi, Tamás
2 Erdős, Pál
2 Fomenko, Oleg Mstislavovich
2 Ford, Kevin B.
2 Fröberg, Carl-Erik
2 Fujima, Shoichi
2 Gallot, Yves
2 Granville, Andrew James
2 Hansen, Pierre
2 Hayashi, Elmer K.
2 Hildebrand, Adolf J.
2 Hirschhorn, Michael D.
2 Hofmeister, Gerd Rolf
2 Hong, Siao
2 Indlekofer, Karl-Heinz
2 Jiang, Yujiao
2 Jiménez-Urroz, Jorge
2 Kahane, Jean-Pierre
2 Kamiński, Marcin Marek
2 Lin, Bernard L. S.
2 Lu, Guangshi
2 Ma, Chunsheng
2 Maynard, James
2 McCurley, Kevin S.
2 Medvedev, Paul
2 Meir, Amram
2 Menzer, Hartmut
2 Messine, Frédéric
2 Montgomery, Hugh Lowell
2 Müller, Helmut
2 Neamah, Ammar Ali
2 Nédélec, Jean-Claude
2 Nowak, Werner Georg
2 Oh, Byeong-Kweon
2 Pan, Hao
2 Parhi, H. K.
2 Pollack, Paul
...and 525 more Authors
all top 5

Cited in 164 Serials

65 Journal of Number Theory
28 Mathematics of Computation
16 International Journal of Number Theory
13 Mathematische Zeitschrift
13 Transactions of the American Mathematical Society
12 Acta Arithmetica
12 The Ramanujan Journal
11 Archiv der Mathematik
11 Proceedings of the American Mathematical Society
10 Monatshefte für Mathematik
9 Mathematische Annalen
9 Journal de Théorie des Nombres de Bordeaux
7 Mathematika
7 Journal of Integer Sequences
6 Journal of Mathematical Analysis and Applications
6 Journal of Combinatorial Theory. Series A
5 Bulletin of the Australian Mathematical Society
5 Lithuanian Mathematical Journal
5 Periodica Mathematica Hungarica
5 Rocky Mountain Journal of Mathematics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Functiones et Approximatio. Commentarii Mathematici
5 Acta Mathematica Hungarica
5 Experimental Mathematics
4 Discrete Mathematics
4 Inventiones Mathematicae
4 The Journal of Symbolic Logic
4 Integers
3 Acta Mechanica
3 Israel Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Acta Mathematica
3 Advances in Mathematics
3 Bulletin de la Société Mathématique de France
3 Compositio Mathematica
3 Journal of Algebra
3 Designs, Codes and Cryptography
3 Expositiones Mathematicae
3 Indagationes Mathematicae. New Series
3 Research in the Mathematical Sciences
3 Research in Number Theory
2 Computers & Mathematics with Applications
2 Journal of Engineering Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Computation
2 Duke Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Numerische Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Japan Academy. Series A
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Semigroup Forum
2 Theoretical Computer Science
2 European Journal of Combinatorics
2 Journal of the American Mathematical Society
2 Journal of Cryptology
2 The Journal of Geometric Analysis
2 Bulletin of the American Mathematical Society. New Series
2 Acta Mathematica Sinica. New Series
2 Applicable Algebra in Engineering, Communication and Computing
2 Finite Fields and their Applications
2 Bulletin des Sciences Mathématiques
2 Discrete and Continuous Dynamical Systems
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the American Mathematical Society
2 BIT. Nordisk Tidskrift for Informationsbehandling
2 Forum of Mathematics, Pi
1 Advances in Applied Probability
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 International Journal of Engineering Science
1 Indian Journal of Pure & Applied Mathematics
1 Information Processing Letters
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Mathematische Semesterberichte
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 Annals of the Institute of Statistical Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archivum Mathematicum
1 BIT
1 Bulletin of the London Mathematical Society
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Applied Probability
1 Journal of Approximation Theory
...and 64 more Serials
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Cited in 43 Fields

400 Number theory (11-XX)
38 Combinatorics (05-XX)
22 Group theory and generalizations (20-XX)
17 Information and communication theory, circuits (94-XX)
13 Algebraic geometry (14-XX)
12 Functions of a complex variable (30-XX)
11 Mathematical logic and foundations (03-XX)
11 Dynamical systems and ergodic theory (37-XX)
11 Probability theory and stochastic processes (60-XX)
10 Special functions (33-XX)
9 Computer science (68-XX)
8 Commutative algebra (13-XX)
7 Field theory and polynomials (12-XX)
7 Convex and discrete geometry (52-XX)
6 Operator theory (47-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Sequences, series, summability (40-XX)
5 Numerical analysis (65-XX)
5 Mechanics of deformable solids (74-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Measure and integration (28-XX)
4 Partial differential equations (35-XX)
4 Fluid mechanics (76-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
3 Geometry (51-XX)
3 Quantum theory (81-XX)
3 Mathematics education (97-XX)
2 Statistics (62-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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