Edit Profile Bateman, Paul Trevier Compute Distance To: Compute Author ID: bateman.paul-t Published as: Bateman, P. T.; Bateman, Paul; Bateman, Paul T. External Links: MGP · Wikidata · Celebratio Mathematica · GND Documents Indexed: 50 Publications since 1949, including 1 Book Biographic References: 3 Publications all top 5 Co-Authors 18 single-authored 5 Erdős, Pál 4 Chowla, Sarvadaman 4 Diamond, Harold George 4 Grosswald, Emil 3 Pomerance, Carl Bernard 2 Ferrer Santos, Walter Ricardo 2 Horn, Roger Alan 2 Knopp, Marvin Isadore 2 Moskowitz, Martin A. 2 Purdy, George B. 2 Stemmler, Rosemarie M. 2 Wagstaff, Samuel S. jun. 1 Bergman, George M. 1 Brown, James Ward 1 Datskovsky, Boris A. 1 Duquette, Alfred L. 1 Gerstenhaber, Murray 1 Hall, R. S. 1 Hildebrand, Adolf J. 1 Jockusch, Carl G. jun. 1 Kalb, Jeffrey 1 Kloss, K. E. 1 Kostant, Bertram 1 Low, Marc E. 1 Magid, Andy Roy 1 Moore, Calvin C. 1 Mostow, George Daniel 1 Nahlus, Nazih 1 Schwartz, James M. 1 Selfridge, John L. 1 Stenger, Allen 1 Straus, Ernst G. 1 Tate, John Torrence jun. 1 Vaughan, Robert C. 1 Woods, Alan R. all top 5 Serials 8 American Mathematical Monthly 4 Illinois Journal of Mathematics 3 Acta Arithmetica 2 Mathematics of Computation 2 The Journal of the Indian Mathematical Society. New Series 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 2 Publicationes Mathematicae 1 Journal of Mathematical Analysis and Applications 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 The Journal of Symbolic Logic 1 Mathematika 1 Transactions of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Notices of the American Mathematical Society 1 The Ramanujan Journal 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Monographs in Number Theory 1 Séminaire de Théorie des Nombres all top 5 Fields 32 Number theory (11-XX) 3 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 40 Publications have been cited 449 times in 420 Documents Cited by ▼ Year ▼ A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302Bateman, P. T.; Horn, Roger A. 78 1962 The equivalence of two conjectures in the theory of numbers. Zbl 0055.27503Bateman, P. T.; Chowla, Sarvadaman 39 1954 Asymptotic distribution of Beurling’s generalized prime numbers. Zbl 0216.31403Bateman, P. T.; Diamond, H. G. 36 1969 Analytic number theory. An introductory course. Zbl 1074.11001Bateman, Paul T.; Diamond, Harold G. 26 2004 On Epstein’s zeta function. Zbl 0128.27004Bateman, P. T.; Grosswald, E. 25 1964 Geometrical extrema suggested by a lemma of Besicovitch. Zbl 0043.16202Bateman, Paul T.; Erdős, Paul 21 1951 The distribution of values of the Euler function. Zbl 0217.31901Bateman, P. T. 20 1972 On the representations of a number as the sum of three squares. Zbl 0043.04603Bateman, Paul T. 20 1951 Primes represented by irreducible polynomials in one variable. Zbl 0136.32902Bateman, Paul T.; Horn, Roger A. 17 1965 Monotonicity of partition functions. Zbl 0074.03502Bateman, Paul T.; Erdős, Pál 17 1956 On a theorem of Erdős and Szekeres. Zbl 0079.07104Bateman, Paul T.; Grosswald, Emil 16 1958 A limit involving least common multiples. Zbl 1124.11300Bateman, Paul; Kalb, Jeffrey; Stenger, Allen 14 2002 Waring’s problem for algebraic number fields and primes of the form \((p^ r -1)/(p^ d-1)\). Zbl 0107.03903Bateman, Paul T.; Stemmler, Rosemarie M. 13 1962 Remark on a recent note on linear forms. Zbl 0083.03801Bateman, P. T. 11 1958 Note on the coefficients of the cyclotomic polynomial. Zbl 0035.31102Bateman, P. T. 11 1949 Remarks on the size of \(L(1,\chi)\). Zbl 0036.30702Bateman, Paul T.; Chowla, S.; Erdős, Pál 10 1950 The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series. Zbl 0105.02801Bateman, P. T.; Duquette, Alfred L. 9 1962 A remark on infinite groups. Zbl 0039.25103Bateman, P. T. 7 1950 Decidability and undecidability of theories with a predicate for the primes. Zbl 0785.03002Bateman, P. T.; Jockusch, C. G.; Woods, A. R. 6 1993 Some new old-fashioned modular identities. Zbl 0909.11018Bateman, Paul T.; Knopp, Marvin I. 5 1998 Positive integers expressible as a sum of three squares in essentially only one way. Zbl 0558.10038Bateman, Paul T.; Grosswald, Emil 5 1984 Some special trigonometrical series related to the distribution of prime numbers. Zbl 0116.26904Bateman, P. T.; Chowla, Sarvadaman 5 1963 Averages of character sums. Zbl 0041.01904Bateman, P. T.; Chowla, Sarvadaman 5 1950 The Erdős-Fuchs theorem on the square of a power series. Zbl 0353.10041Bateman, Paul T. 4 1977 On the oscillation theorems of Pringsheim and Landau. Zbl 0964.11037Bateman, Paul T.; Diamond, Harold G. 3 2000 On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010Bateman, P. T.; Pomerance, C.; Vaughan, R. C. 3 1984 Some numerical results on Fekete polynomials. Zbl 0301.10036Bateman, Paul T.; Purdy, George B.; Wagstaff, Samuel S. jun. 3 1975 Eugene E. Kohlbecker and Jack P. Tull: On a theorem of Erdős and Fuchs in additive number theory. Zbl 0112.27405Bateman, P. T. 3 1963 Proof of a conjecture of Grosswald. Zbl 0080.03602Bateman, Paul T. 3 1958 Linear relations connecting the imaginary parts of the zeros of the zeta function. Zbl 0216.03601Bateman, P. T.; Brown, J. W.; Hall, R. S.; Kloss, K. E.; Stemmler, R. M. 2 1971 Imaginary quadratic fields with unique factorization. Zbl 0100.03103Bateman, Paul T.; Grosswald, Emil 2 1962 Partitions into primes. Zbl 0073.03101Bateman, Paul T.; Erdős, Pál 2 1956 Sums of squares and the preservation of modularity under congruence restrictions. Zbl 1040.11018Bateman, Paul T.; Datskovsky, Boris A.; Knopp, Marvin I. 1 2001 A hundred years of prime numbers. Zbl 0871.11005Bateman, Paul T.; Diamond, Harold G. 1 1996 The asymptotic formula for the number of representations of an integer as a sum of five squares. Zbl 0857.11019Bateman, Paul T. 1 1996 Sums of distinct squares. Zbl 0815.11048Bateman, Paul T.; Hildebrand, Adolf J.; Purdy, George B. 1 1994 The new Mersenne conjecture. Zbl 0694.10005Bateman, P. T.; Selfridge, J. L.; Wagstaff, S. S. jun. 1 1989 Prime numbers in arithmetic progressions with difference 24. Zbl 0127.26805Bateman, P. T.; Low, Marc E. 1 1965 Sequences of mass distributions on the unit circle which tend to a uniform distribution. Zbl 0128.27303Bateman, P. T. 1 1964 Theorems implying the non-vanishing of \(\sum \chi(m)m^{-1}\) for real residue-characters. Zbl 0228.10021Bateman, Paul T. 1 1961 Analytic number theory. An introductory course. Zbl 1074.11001Bateman, Paul T.; Diamond, Harold G. 26 2004 A limit involving least common multiples. Zbl 1124.11300Bateman, Paul; Kalb, Jeffrey; Stenger, Allen 14 2002 Sums of squares and the preservation of modularity under congruence restrictions. Zbl 1040.11018Bateman, Paul T.; Datskovsky, Boris A.; Knopp, Marvin I. 1 2001 On the oscillation theorems of Pringsheim and Landau. Zbl 0964.11037Bateman, Paul T.; Diamond, Harold G. 3 2000 Some new old-fashioned modular identities. Zbl 0909.11018Bateman, Paul T.; Knopp, Marvin I. 5 1998 A hundred years of prime numbers. Zbl 0871.11005Bateman, Paul T.; Diamond, Harold G. 1 1996 The asymptotic formula for the number of representations of an integer as a sum of five squares. Zbl 0857.11019Bateman, Paul T. 1 1996 Sums of distinct squares. Zbl 0815.11048Bateman, Paul T.; Hildebrand, Adolf J.; Purdy, George B. 1 1994 Decidability and undecidability of theories with a predicate for the primes. Zbl 0785.03002Bateman, P. T.; Jockusch, C. G.; Woods, A. R. 6 1993 The new Mersenne conjecture. Zbl 0694.10005Bateman, P. T.; Selfridge, J. L.; Wagstaff, S. S. jun. 1 1989 Positive integers expressible as a sum of three squares in essentially only one way. Zbl 0558.10038Bateman, Paul T.; Grosswald, Emil 5 1984 On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010Bateman, P. T.; Pomerance, C.; Vaughan, R. C. 3 1984 The Erdős-Fuchs theorem on the square of a power series. Zbl 0353.10041Bateman, Paul T. 4 1977 Some numerical results on Fekete polynomials. Zbl 0301.10036Bateman, Paul T.; Purdy, George B.; Wagstaff, Samuel S. jun. 3 1975 The distribution of values of the Euler function. Zbl 0217.31901Bateman, P. T. 20 1972 Linear relations connecting the imaginary parts of the zeros of the zeta function. Zbl 0216.03601Bateman, P. T.; Brown, J. W.; Hall, R. S.; Kloss, K. E.; Stemmler, R. M. 2 1971 Asymptotic distribution of Beurling’s generalized prime numbers. Zbl 0216.31403Bateman, P. T.; Diamond, H. G. 36 1969 Primes represented by irreducible polynomials in one variable. Zbl 0136.32902Bateman, Paul T.; Horn, Roger A. 17 1965 Prime numbers in arithmetic progressions with difference 24. Zbl 0127.26805Bateman, P. T.; Low, Marc E. 1 1965 On Epstein’s zeta function. Zbl 0128.27004Bateman, P. T.; Grosswald, E. 25 1964 Sequences of mass distributions on the unit circle which tend to a uniform distribution. Zbl 0128.27303Bateman, P. T. 1 1964 Some special trigonometrical series related to the distribution of prime numbers. Zbl 0116.26904Bateman, P. T.; Chowla, Sarvadaman 5 1963 Eugene E. Kohlbecker and Jack P. Tull: On a theorem of Erdős and Fuchs in additive number theory. Zbl 0112.27405Bateman, P. T. 3 1963 A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302Bateman, P. T.; Horn, Roger A. 78 1962 Waring’s problem for algebraic number fields and primes of the form \((p^ r -1)/(p^ d-1)\). Zbl 0107.03903Bateman, Paul T.; Stemmler, Rosemarie M. 13 1962 The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series. Zbl 0105.02801Bateman, P. T.; Duquette, Alfred L. 9 1962 Imaginary quadratic fields with unique factorization. Zbl 0100.03103Bateman, Paul T.; Grosswald, Emil 2 1962 Theorems implying the non-vanishing of \(\sum \chi(m)m^{-1}\) for real residue-characters. Zbl 0228.10021Bateman, Paul T. 1 1961 On a theorem of Erdős and Szekeres. Zbl 0079.07104Bateman, Paul T.; Grosswald, Emil 16 1958 Remark on a recent note on linear forms. Zbl 0083.03801Bateman, P. T. 11 1958 Proof of a conjecture of Grosswald. Zbl 0080.03602Bateman, Paul T. 3 1958 Monotonicity of partition functions. Zbl 0074.03502Bateman, Paul T.; Erdős, Pál 17 1956 Partitions into primes. Zbl 0073.03101Bateman, Paul T.; Erdős, Pál 2 1956 The equivalence of two conjectures in the theory of numbers. Zbl 0055.27503Bateman, P. T.; Chowla, Sarvadaman 39 1954 Geometrical extrema suggested by a lemma of Besicovitch. Zbl 0043.16202Bateman, Paul T.; Erdős, Paul 21 1951 On the representations of a number as the sum of three squares. Zbl 0043.04603Bateman, Paul T. 20 1951 Remarks on the size of \(L(1,\chi)\). Zbl 0036.30702Bateman, Paul T.; Chowla, S.; Erdős, Pál 10 1950 A remark on infinite groups. Zbl 0039.25103Bateman, P. T. 7 1950 Averages of character sums. Zbl 0041.01904Bateman, P. T.; Chowla, Sarvadaman 5 1950 Note on the coefficients of the cyclotomic polynomial. Zbl 0035.31102Bateman, P. T. 11 1949 all cited Publications top 5 cited Publications all top 5 Cited by 541 Authors 10 Zhang, Wenbin 9 Luca, Florian 8 Hong, Shaofang 7 Diamond, Harold George 7 Garcia, Stephan Ramon 7 Hilberdink, Titus W. 7 Vindas, Jasson 6 Debruyne, Gregory 6 Qian, Guoyou 6 Shparlinski, Igor E. 5 Cooper, Shaun 5 Shanks, Daniel C. 4 Bateman, Paul Trevier 4 Evans, Anthony B. 4 Hbaib, Mohamed 4 Korevaar, Jacob 4 Vaughan, Robert C. 3 Bros, Jacques 3 Grosswald, Emil 3 Ichimura, Humio 3 Körner, Otto 3 Ma, Chunsheng 3 Milanič, Martin 3 Murty, Maruti Ram 3 Pintz, Janos 3 Richmond, L. Bruce 3 Södergren, Anders 3 Stankus, Eugenijus 3 Tan, Qianrong 3 Terras, Audrey Anne 3 Tripathi, Amitabha 2 Alon, Noga M. 2 Arenstorf, Richard F. 2 Audet, Charles 2 Balog, Antal 2 Bănescu, Magdalena 2 Bell, Jason P. 2 Berkovich, Alexander 2 Bertola, Marco 2 Bohman, Jan 2 Borwein, Peter Benjamin 2 Cilleruelo, Javier 2 Clark, Peter Louis 2 Compton, Kevin J. 2 Dai, Lixia 2 Duran, Mario M. 2 El-Sirafy, Ibrahim H. 2 Erdélyi, Tamás 2 Erdős, Pál 2 Farhi, Bakir 2 Fomenko, Oleg Mstislavovich 2 Fröberg, Carl-Erik 2 Fujima, Shoichi 2 Gallot, Yves 2 Granville, Andrew James 2 Hansen, Pierre 2 Hayashi, Elmer K. 2 Hirschhorn, Michael D. 2 Hofmeister, Gerd Rolf 2 Indlekofer, Karl-Heinz 2 Jiang, Yujiao 2 Kahane, Jean-Pierre 2 Kamiński, Marcin Marek 2 Kanemitsu, Shigeru 2 Laurinčikas, Antanas 2 Lu, Guangshi 2 McCurley, Kevin S. 2 Medvedev, Paul 2 Meir, Amram 2 Menzer, Hartmut 2 Messine, Frédéric 2 Montgomery, Hugh Lowell 2 Moree, Pieter 2 Moschella, Ugo 2 Müller, Helmut 2 Nédélec, Jean-Claude 2 Pan, Hao 2 Parhi, H. K. 2 Pollack, Paul 2 Polubarinova Kochina, Pelageya Yakovlevna 2 Popa, Dumitru 2 Rué, Juanjo 2 Šarka, Paulius 2 Satoh, Takakazu 2 Schaeffer, Richard 2 Schinzel, Andrzej 2 Scholl, Travis 2 Sós, Vera Turán 2 Soundararajan, Kannan 2 Suryanarayana, D. 2 Suzuki, Yuta 2 Tao, Terence 2 Thomas, Wolfgang 2 Turán, Pál 2 Udell, Gabe 2 Vorhauer, Ulrike Magdalena Anna 2 Washington, Lawrence C. 2 Watkins, Mark James 2 Ziegler, Tamar 2 Zumalacárregui, Ana ...and 441 more Authors all top 5 Cited in 141 Serials 58 Journal of Number Theory 30 Mathematics of Computation 12 Mathematische Zeitschrift 12 Transactions of the American Mathematical Society 11 Archiv der Mathematik 11 Proceedings of the American Mathematical Society 11 International Journal of Number Theory 10 The Ramanujan Journal 9 Acta Arithmetica 9 Mathematische Annalen 9 Monatshefte für Mathematik 9 Journal de Théorie des Nombres de Bordeaux 6 Mathematika 5 Lithuanian Mathematical Journal 5 Periodica Mathematica Hungarica 5 Functiones et Approximatio. Commentarii Mathematici 5 Journal of Combinatorial Theory. Series A 5 Journal of Computational and Applied Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Advances in Mathematics 4 Acta Mathematica Hungarica 4 Experimental Mathematics 3 Acta Mechanica 3 Bulletin of the Australian Mathematical Society 3 Discrete Mathematics 3 International Journal of Engineering Science 3 Israel Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Mathematica 3 Compositio Mathematica 3 Inventiones Mathematicae 3 The Journal of Symbolic Logic 3 Indagationes Mathematicae. New Series 3 PMM, Journal of Applied Mathematics and Mechanics 2 Computers & Mathematics with Applications 2 Journal of Engineering Mathematics 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Journal of Algebra 2 Manuscripta Mathematica 2 Numerische Mathematik 2 Proceedings of the Japan Academy. Series A 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Theoretical Computer Science 2 European Journal of Combinatorics 2 Journal of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Journal of Cryptology 2 Designs, Codes and Cryptography 2 Bulletin of the American Mathematical Society. New Series 2 Acta Mathematica Sinica. New Series 2 Bulletin des Sciences Mathématiques 2 Journal of Integer Sequences 2 Annals of Mathematics. Second Series 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 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Physics Letters. A 1 Reports on Mathematical Physics 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archivum Mathematicum 1 BIT 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Graph Theory 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Mathematica Slovaca 1 Mechanics Research Communications 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Semigroup Forum 1 Mathematical Social Sciences ...and 41 more Serials all top 5 Cited in 48 Fields 311 Number theory (11-XX) 30 Combinatorics (05-XX) 15 Information and communication theory, circuits (94-XX) 12 Algebraic geometry (14-XX) 12 Probability theory and stochastic processes (60-XX) 11 Group theory and generalizations (20-XX) 10 Mathematical logic and foundations (03-XX) 9 Functions of a complex variable (30-XX) 9 Computer science (68-XX) 8 Commutative algebra (13-XX) 8 Special functions (33-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 7 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 6 Quantum theory (81-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Field theory and polynomials (12-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-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 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-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) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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