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## Osgood, Charles F.

Compute Distance To:
 Author ID: osgood.charles-f Published as: Osgood, C.; Osgood, C. F.; Osgood, Charles; Osgood, Charles F.
 Documents Indexed: 69 Publications since 1961, including 1 Book
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#### Co-Authors

 37 single-authored 19 Gross, Fred 6 Yang, Chung-Chun 5 Shisha, Oved 2 Haber, Seymour 1 Berend, Daniel 1 Lewis, James T. 1 Luca, Florian 1 Murthy, Narayan S. 1 Niederreiter, Harald 1 Walsh, Peter Gareth 1 Wisner, Robert J.
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#### Serials

 8 Journal of Mathematical Analysis and Applications 7 Acta Arithmetica 5 Journal of Number Theory 5 Complex Variables. Theory and Application 4 Journal of Approximation Theory 3 Nagoya Mathematical Journal 3 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 2 Mathematics of Computation 2 Indian Journal of Mathematics 2 Monatshefte für Mathematik 2 Journal of Research of the National Bureau of Standards 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 American Journal of Mathematics 1 Bulletin of the Calcutta Mathematical Society 1 Mathematika 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Transactions of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Proceedings of the Cambridge Philosophical Society 1 Complex Variables and Elliptic Equations
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#### Fields

 31 Number theory (11-XX) 27 Functions of a complex variable (30-XX) 12 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 5 Field theory and polynomials (12-XX) 5 Approximations and expansions (41-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 204 times in 145 Documents Cited by Year
Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. Zbl 0575.10032
Osgood, Charles F.
1985
A number theoretic-differential equations approach to generalizing Nevanlinna theory. Zbl 0528.30021
Osgood, Charles F.
1981
On the quotient of two integral functions. Zbl 0329.30020
Osgood, Charles F.; Yang, Chung-Chun
1976
Effective bounds on the ’diophantine approximation’ of algebraic functions over fields of arbitrary characteristic and applications to differential equations. Zbl 0302.10034
Osgood, Charles F.
1975
Numerical quadrature of improper integrals and the dominated integral. Zbl 0358.65015
Osgood, Charles F.; Shisha, Oved
1977
Entire functions with common preimages. Zbl 0494.30029
Gross, F.; Osgood, Charles F.
1982
A simpler proof of a theorem of Steinmetz. Zbl 0683.30030
Gross, Fred; Osgood, Charles F.
1989
The dominated integral. Zbl 0353.65015
Osgood, Charles F.; Shisha, Oved
1976
An effective lower bound on the “diophantine approximation” of algebraic functions by rational functions. Zbl 0269.10017
Osgood, Charles F.
1973
Some theorems on diophantine approximation. Zbl 0152.03601
Osgood, C. F.
1966
On the equation $$P(x)=n!$$ and a question of Erdős. Zbl 0762.11010
Berend, Daniel; Osgood, Charles F.
1992
On the Diophantine approximation of values of functions satisfying certain linear q-difference equations. Zbl 0218.10051
Osgood, C. F.
1971
The simultaneous diophantine approximation of certain k-th roots. Zbl 0191.05401
Osgood, C. F.
1970
Infinite Riemann sums, the simple integral, and the dominated integral. Zbl 0441.26006
Lewis, James T.; Osgood, Charles F.; Shisha, Oved
1978
On the entire solutions of a functional equation in the theory of fluids. Zbl 0324.30012
Gross, Fred; Osgood, Charles F.; Yang, Chung-Chun
1975
Primeable entire functions. Zbl 0244.30027
Gross, Fred; Yang, Chung-Chun; Osgood, Charles
1973
An extension of a theorem of Steinmetz. Zbl 0736.30024
Gross, Fred; Osgood, Charles F.
1991
Further results on Fermat type equations and a characterization of the Chebyshev polynomials. Zbl 0608.30029
Gross, F.; Osgood, C. F.
1987
On fixed points of composite meromorphic functions. Zbl 0597.30042
Gross, F.; Osgood, C. F.
1986
Product type bounds on the approximation of values of E- and G-functions. Zbl 0593.10032
Osgood, Charles F.
1986
On the functional equation $$f^n+g^n=h^n$$ and a new approach to a certain class of more general functional equations. Zbl 0513.30017
Gross, F.; Osgood, C. F.
1981
Nearly perfect systems and effective generalizations of Shidlovski’s theorem. Zbl 0469.10010
Osgood, Charles F.
1981
On simple intergrability and bounded coarse variation. Zbl 0365.65013
Osgood, Charles F.; Shisha, Oved
1976
Obtaining a function of bounded coarse variation by a change of variable. Zbl 0606.26004
Osgood, Charles F.
1985
Differential algebra and the simultaneous approximation by rational functions of power series solutions to algebraic functional equations. Zbl 0466.12013
Osgood, Charles F.
1981
Concerning a possible ”Thue-Siegel-Roth theorem” for algebraic differential equations. Zbl 0375.10023
Osgood, Charles F.
1977
The Diophantine approximation of certain continued fractions. Zbl 0256.10018
Osgood, Charles F.
1972
On the sum $$\Sigma \langle n\alpha \rangle^ -t$$ and numerical integration. Zbl 0203.35602
Haber, Seymour; Osgood, C. F.
1969
A method in diophantine approximation. III, IV. Zbl 0191.05301
Osgood, Charles F.
1969
On a theorem of Piatetsky-Shapiro and approximation of multiple integrals. Zbl 0184.38202
Haber, Seymour; Osgood, C. F.
1969
A method in diophantine approximation. II. Zbl 0212.07204
Osgood, Charles F.
1968
Theorems about the derivatives of certain entire functions at algebraic points. I, II. Zbl 0189.33406
Osgood, C. F.
1967
A method in diophantine approximation. Zbl 0147.30804
Osgood, Charles F.
1966
Diophantine approximations and a problem from the 1988 IMO. Zbl 1161.11022
Luca, F.; Osgood, C. F.; Walsh, P. G.
2006
Nevanlinna theory, Diophantine approximation, and numerical analysis. Zbl 1130.30316
Osgood, Charles F.
2001
The Diophantine approximation of general solutions of algebraic differential equations. Zbl 1036.34103
Osgood, Charles F.
2001
A generalization of the Nielsen-Hölder theorem about $$\Gamma(z)$$. Zbl 1054.32003
Gross, Fred; Osgood, Charles F.
1998
Finding all solutions related to Steinmetz’s theorem. Zbl 0747.30019
Gross, Fred; Osgood, Charles F.
1992
On dominant integrability. Zbl 0635.41023
Murthy, Narayan S.; Osgood, Charles F.; Shisha, Oved
1987
Effective bounds on the diophantine approximation of algebraic functions, and Nevanlinna theory. Zbl 0546.10030
Osgood, Charles F.
1984
The approximation of solutions of linear homogeneous differential equations by rational functions. Zbl 0431.10021
Osgood, Charles F.
1980
On entire functions having prescribed asymptotic behavior along the real axis. Zbl 0401.30022
Osgood, Charles F.; Yang, Chung-Chun
1978
An effective lower bound on the ”diophantine” approximation of algebraic functions by rational functions. II. Zbl 0372.10025
Osgood, Charles F.
1977
Effective bounds on the ’diophantine approximation’ of algebraic functions over fields of arbitrary characteristic and applications to differential equations. Errata. Zbl 0313.10036
Osgood, Charles F.
1975
Diophantine approximation and its applications. Proceedings of a conference on diophantine approximation and its applications held in Washington D. C., June 6-8, 1972. Zbl 0254.00006
Osgood, Charles F. (ed.)
1973
On the simultaneous diophantine approximation of values of certain algebraic functions. Zbl 0247.10018
Osgood, Charles F.
1971
Diophantine approximations and a problem from the 1988 IMO. Zbl 1161.11022
Luca, F.; Osgood, C. F.; Walsh, P. G.
2006
Nevanlinna theory, Diophantine approximation, and numerical analysis. Zbl 1130.30316
Osgood, Charles F.
2001
The Diophantine approximation of general solutions of algebraic differential equations. Zbl 1036.34103
Osgood, Charles F.
2001
A generalization of the Nielsen-Hölder theorem about $$\Gamma(z)$$. Zbl 1054.32003
Gross, Fred; Osgood, Charles F.
1998
On the equation $$P(x)=n!$$ and a question of Erdős. Zbl 0762.11010
Berend, Daniel; Osgood, Charles F.
1992
Finding all solutions related to Steinmetz’s theorem. Zbl 0747.30019
Gross, Fred; Osgood, Charles F.
1992
An extension of a theorem of Steinmetz. Zbl 0736.30024
Gross, Fred; Osgood, Charles F.
1991
A simpler proof of a theorem of Steinmetz. Zbl 0683.30030
Gross, Fred; Osgood, Charles F.
1989
Further results on Fermat type equations and a characterization of the Chebyshev polynomials. Zbl 0608.30029
Gross, F.; Osgood, C. F.
1987
On dominant integrability. Zbl 0635.41023
Murthy, Narayan S.; Osgood, Charles F.; Shisha, Oved
1987
On fixed points of composite meromorphic functions. Zbl 0597.30042
Gross, F.; Osgood, C. F.
1986
Product type bounds on the approximation of values of E- and G-functions. Zbl 0593.10032
Osgood, Charles F.
1986
Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. Zbl 0575.10032
Osgood, Charles F.
1985
Obtaining a function of bounded coarse variation by a change of variable. Zbl 0606.26004
Osgood, Charles F.
1985
Effective bounds on the diophantine approximation of algebraic functions, and Nevanlinna theory. Zbl 0546.10030
Osgood, Charles F.
1984
Entire functions with common preimages. Zbl 0494.30029
Gross, F.; Osgood, Charles F.
1982
A number theoretic-differential equations approach to generalizing Nevanlinna theory. Zbl 0528.30021
Osgood, Charles F.
1981
On the functional equation $$f^n+g^n=h^n$$ and a new approach to a certain class of more general functional equations. Zbl 0513.30017
Gross, F.; Osgood, C. F.
1981
Nearly perfect systems and effective generalizations of Shidlovski’s theorem. Zbl 0469.10010
Osgood, Charles F.
1981
Differential algebra and the simultaneous approximation by rational functions of power series solutions to algebraic functional equations. Zbl 0466.12013
Osgood, Charles F.
1981
The approximation of solutions of linear homogeneous differential equations by rational functions. Zbl 0431.10021
Osgood, Charles F.
1980
Infinite Riemann sums, the simple integral, and the dominated integral. Zbl 0441.26006
Lewis, James T.; Osgood, Charles F.; Shisha, Oved
1978
On entire functions having prescribed asymptotic behavior along the real axis. Zbl 0401.30022
Osgood, Charles F.; Yang, Chung-Chun
1978
Numerical quadrature of improper integrals and the dominated integral. Zbl 0358.65015
Osgood, Charles F.; Shisha, Oved
1977
Concerning a possible ”Thue-Siegel-Roth theorem” for algebraic differential equations. Zbl 0375.10023
Osgood, Charles F.
1977
An effective lower bound on the ”diophantine” approximation of algebraic functions by rational functions. II. Zbl 0372.10025
Osgood, Charles F.
1977
On the quotient of two integral functions. Zbl 0329.30020
Osgood, Charles F.; Yang, Chung-Chun
1976
The dominated integral. Zbl 0353.65015
Osgood, Charles F.; Shisha, Oved
1976
On simple intergrability and bounded coarse variation. Zbl 0365.65013
Osgood, Charles F.; Shisha, Oved
1976
Effective bounds on the ’diophantine approximation’ of algebraic functions over fields of arbitrary characteristic and applications to differential equations. Zbl 0302.10034
Osgood, Charles F.
1975
On the entire solutions of a functional equation in the theory of fluids. Zbl 0324.30012
Gross, Fred; Osgood, Charles F.; Yang, Chung-Chun
1975
Effective bounds on the ’diophantine approximation’ of algebraic functions over fields of arbitrary characteristic and applications to differential equations. Errata. Zbl 0313.10036
Osgood, Charles F.
1975
An effective lower bound on the “diophantine approximation” of algebraic functions by rational functions. Zbl 0269.10017
Osgood, Charles F.
1973
Primeable entire functions. Zbl 0244.30027
Gross, Fred; Yang, Chung-Chun; Osgood, Charles
1973
Diophantine approximation and its applications. Proceedings of a conference on diophantine approximation and its applications held in Washington D. C., June 6-8, 1972. Zbl 0254.00006
Osgood, Charles F. (ed.)
1973
The Diophantine approximation of certain continued fractions. Zbl 0256.10018
Osgood, Charles F.
1972
On the Diophantine approximation of values of functions satisfying certain linear q-difference equations. Zbl 0218.10051
Osgood, C. F.
1971
On the simultaneous diophantine approximation of values of certain algebraic functions. Zbl 0247.10018
Osgood, Charles F.
1971
The simultaneous diophantine approximation of certain k-th roots. Zbl 0191.05401
Osgood, C. F.
1970
On the sum $$\Sigma \langle n\alpha \rangle^ -t$$ and numerical integration. Zbl 0203.35602
Haber, Seymour; Osgood, C. F.
1969
A method in diophantine approximation. III, IV. Zbl 0191.05301
Osgood, Charles F.
1969
On a theorem of Piatetsky-Shapiro and approximation of multiple integrals. Zbl 0184.38202
Haber, Seymour; Osgood, C. F.
1969
A method in diophantine approximation. II. Zbl 0212.07204
Osgood, Charles F.
1968
Theorems about the derivatives of certain entire functions at algebraic points. I, II. Zbl 0189.33406
Osgood, C. F.
1967
Some theorems on diophantine approximation. Zbl 0152.03601
Osgood, C. F.
1966
A method in diophantine approximation. Zbl 0147.30804
Osgood, Charles F.
1966
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#### Cited by 153 Authors

 17 Osgood, Charles F. 7 Shisha, Oved 7 Yi, Hongxun 6 Gross, Fred 6 Yang, Chung-Chun 4 Berend, Daniel 4 Galochkin, A. I. 4 Korhonen, Risto 4 Ru, Min 3 Bergweiler, Walter 3 Ng, Tuen-Wai 3 Tohge, Kazuya 3 Voloch, José Felipe 3 Yan, Qiming 3 Ye, Zhuan 2 Butzer, Paul Leo 2 Ciechanowicz, Ewa 2 Gundersen, Gary G. 2 Győry, Kálmán 2 Harmse, Jørgen E. 2 Ivankov, Pavel Leonidovich 2 Lang, Serge 2 Li, Xiaomin 2 Luca, Florian 2 Niederreiter, Harald 2 Si Duc Quang 2 Stens, Rudolf L. 2 Stoll, Wilhelm 2 Thakur, Dinesh S. 2 Ueda, Hideharu 2 Yamanoi, Katsutoshi 2 Yu, Guangsheng 2 Zheng, Jianhua 1 Balaba, Irina Nikolaevna 1 Banerjee, Arun K. 1 Bardaro, Carlo 1 Benbourenane, Djamel 1 Bennett, Michael A. 1 Bertrand, Daniel 1 Beukers, Frits 1 Bhattacharyya, Sarika Maitra 1 Bilu, Yuri F. 1 Bowman, Douglas C. 1 Brindza, Béla 1 Byrnes, James S. 1 Chang, Jianming 1 Chen, Huei-Jeng 1 Chen, Zongxuan 1 Cherry, William 1 Choi, Geumlan 1 Chubarikov, Vladimir Nikolaevich 1 Chudnovsky, Gregory V. 1 Cohen, Alan M. 1 Cross, George E. 1 Czubiak, Thomas P. 1 Dąbrowski, Andrzej Bogdan 1 Demidov, Sergeĭ Sergeevich 1 Dmochowski, Pawel A. 1 Đỗ Đức Thái 1 Dobrovol’skaya, Larisa Petrovna 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Dobrovol’skiĭ, Nikolai Nikolaevich 1 Dubois, Eugène 1 Duverney, Daniel 1 Dvornicich, Roberto 1 Eremenko, Alexandre Émmanuilovich 1 Fang, Mingliang 1 Filipuk, Galina V. 1 Firag, Abdulla 1 Gaál, István 1 Gackstatter, Fritz 1 Ghioca, Dragos 1 Giroux, Andre 1 Gu, Yongxing 1 Halburd, Rod 1 Han, Qi 1 Higgins, John Rowland 1 Hindes, Wade 1 Hinkkanen, Aimo 1 Hu, Peichu 1 Huang, Jiaxing 1 Ih, Su-ion 1 Ji, Qingchun 1 Kien, Nguyen Huu 1 Kihel, Omar 1 Kim, Minhyong 1 Korobov, Alekseĭ Aleksandrovich 1 Korobov, Oleg Alekseevich 1 Langley, James K. 1 Le, Giang 1 Lê, Thái Hoàng 1 Lewis, James T. 1 Li, Changjun 1 Li, Zhen 1 Liu, Kai 1 Lu, Feng 1 Mantellini, Ilaria 1 Matala-aho, Tapani 1 Merilä, Ville 1 Meyer, Gottfried Peter ...and 53 more Authors
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#### Cited in 57 Serials

 15 Journal of Mathematical Analysis and Applications 11 Journal of Number Theory 11 Kodai Mathematical Journal 8 Journal of Approximation Theory 8 Transactions of the American Mathematical Society 5 Rocky Mountain Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Computational Methods and Function Theory 4 Mathematical Notes 4 Monatshefte für Mathematik 4 International Journal of Number Theory 3 Journal d’Analyse Mathématique 3 Archiv der Mathematik 3 Proceedings of the Japan Academy. Series A 2 Arkiv för Matematik 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Acta Mathematica Hungarica 2 Acta Mathematica Sinica. New Series 2 Complex Variables and Elliptic Equations 2 Chebyshevskiĭ Sbornik 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Acta Arithmetica 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Journal of Differential Equations 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Journal of Symbolic Computation 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Aequationes Mathematicae 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 The Journal of Fourier Analysis and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of Applied Analysis 1 Matematychni Studiï 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Applied Mathematics 1 Analysis in Theory and Applications 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Bulletin of the American Mathematical Society
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#### Cited in 26 Fields

 70 Number theory (11-XX) 67 Functions of a complex variable (30-XX) 10 Ordinary differential equations (34-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Numerical analysis (65-XX) 7 Algebraic geometry (14-XX) 7 Approximations and expansions (41-XX) 5 Field theory and polynomials (12-XX) 5 Real functions (26-XX) 4 Difference and functional equations (39-XX) 3 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)