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Loxton, John H.

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Author ID: loxton.john-h Recent zbMATH articles by "Loxton, John H."
Published as: Loxton, J. H.; Loxton, John; Loxton, John H.
Documents Indexed: 52 Publications since 1972, including 2 Books
Reviewing Activity: 194 Reviews

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 279 times in 212 Documents Cited by Year
Arithmetic properties of certain functions in several variables. III. Zbl 0339.10028
Loxton, J. H.; van der Poorten, A. J.
26
1977
A class of hypertranscendental functions. Zbl 0384.10014
Loxton, J. H.; van der Poorten, A. J.
18
1977
The estimation of complete exponential sums. Zbl 0575.10033
Loxton, J. H.; Vaughan, R. C.
15
1985
Transcendence and algebraic independence by a method of Mahler. Zbl 0378.10020
Loxton, J. H.; van der Poorten, A. J.
14
1977
Arithmetic properties of automata: regular sequences. Zbl 0656.10033
Loxton, J. H.; van der Poorten, A. J.
12
1988
On the maximum modulus of cyclotomic integers. Zbl 0217.04203
Loxton, J. H.
12
1972
Multiplicative relations in number fields. Zbl 0335.10023
van der Poorten, A. J.; Loxton, J. H.
11
1977
Arithmetic properties of the solutions of a class of functional equations. Zbl 0468.10019
Loxton, J. H.; van der Poorten, A. J.
10
1982
Algebraic independence properties of the Fredholm series. Zbl 0392.10034
Loxton, J. H.; van der Poorten, A. J.
10
1978
Arithmetic properties of certain functions in several variables. II. Zbl 0339.10027
Loxton, J. H.; van der Poorten, A. J.
10
1977
The graphs of exponential sums. Zbl 0517.10040
Loxton, J. H.
8
1983
On Hua’s estimate for exponential sums. Zbl 0474.10030
Loxton, John H.; Smith, Robert A.
8
1982
The kernel of a rule of approximate integration. Zbl 0418.41026
Loxton, J. H.; Sanders, J. W.
8
1980
On the growth of recurrence sequences. Zbl 0348.10007
Loxton, J. H.; van der Poorten, A. J.
8
1977
Arithmetic properties of certain functions in several variables. Zbl 0339.10026
Loxton, J. H.; van der Poorten, A. J.
8
1977
Some problems involving powers of integers. Zbl 0549.10012
Loxton, J. H.
7
1986
Special values of the dilogarithm function. Zbl 0485.10036
Loxton, J. H.
7
1984
Multiplicative dependence in number fields. Zbl 0478.10019
Loxton, J. H.; van der Poorten, A. J.
7
1983
A note on the characterization of CM-fields. Zbl 0413.12002
Blanksby, P. E.; Loxton, J. H.
7
1978
On an inversion theorem of Möbius. Zbl 0445.10006
Loxton, J. H.; Sanders, J. W.
6
1980
Some conjectures concerning Gauss sums. Zbl 0362.10033
Loxton, J. H.
6
1978
Products related to Gauss sums. Zbl 0293.10019
Loxton, J. H.
6
1974
Multi-dimensional generalizations of the Padé table. Zbl 0423.30033
Loxton, J. H.; Van der Poorten, A. J.
5
1979
On two problems of R. M. Robinson about sums of roots of unity. Zbl 0263.12002
Loxton, J. H.
5
1974
Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant. Zbl 0649.12003
Barrucand, Pierre; Loxton, John; Williams, H. C.
4
1987
On algebraic functions satisfying a class of functional equations. Zbl 0339.12002
Loxton, J. H.; van der Poorten, A. J.
4
1976
Estimates for complete multiple exponential sums. Zbl 0963.11044
Loxton, J. H.
3
2000
A method of Mahler in transcendence theory and some of its applications. Zbl 0519.10022
Loxton, J. H.
3
1984
Estimates for multiple exponential sums. Zbl 0493.10041
Loxton, John H.; Smith, Robert A.
3
1982
Computing the effectively computable bound in Baker’s inequality for linear forms in logarithms, and: Multiplicative relations in number fields: Corrigenda and addenda. Zbl 0362.10019
van der Poorten, A. J.; Loxton, J. H.
3
1977
Counting algebraic units with bounded height. Zbl 0786.11064
Everest, G. R.; Loxton, J. H.
2
1993
A cubic RSA code equivalent to factorization. Zbl 0755.94008
Loxton, J. H.; Khoo, David S. P.; Bird, Gregory J.; Seberry, Jennifer
2
1992
Number theory and cryptography. Papers presented at the 33rd annual meeting of the Australian Mathematical Society and at a workshop on number theory and cryptography in telecommunications held at Macquarie University in Sydney, Australia, from 29 June to 7 July 1989. Zbl 0695.00009
Loxton, J. H. (ed.)
2
1990
Automata and transcendence. Zbl 0656.10032
Loxton, J. H.
2
1988
An awful problem about integers in base four. Zbl 0636.10003
Loxton, J. H.; van der Poorten, A. J.
2
1987
Diophantine analysis. Proceedings of the Number Theory Section of the 1985 Australian Mathematical Society Convention (University of New South Wales). Zbl 0583.00005
Loxton, J. H. (ed.); van der Poorten, A. J. (ed.)
2
1986
Computing the effectively computable bound in Baker’s inequality for linear forms in logarithms. Zbl 0324.10012
van der Poorten, A. J.; Loxton, J. H.
2
1976
Congruence properties of the binary partition function. Zbl 0314.10004
Hirschhorn, M. D.; Loxton, J. H.
2
1975
A cubic analogue of the RSA cryptosystem. Zbl 1049.94014
Said, Mohamad Rushdan Md.; Loxton, John
1
2003
Common summands in partitions. Zbl 0768.11040
Loxton, J. H.; Yeung, Hang-Fai
1
1992
A lower bound for linear forms in the logarithms of algebraic numbers. Zbl 0623.10023
Loxton, J. H.; Mignotte, M.; van der Poorten, A. J.; Waldschmidt, M.
1
1987
Newton polyhedra and solutions of congruences. Zbl 0601.12023
Atan, Kamel A.; Loxton, J. H.
1
1986
Asymptotic analysis of Ramanujan pairs. Zbl 0588.10055
Acreman, D.; Loxton, J. H.
1
1986
The distribution of exponential sums. Zbl 0574.10042
Loxton, J. H.
1
1985
Some problems in partitio numerorum. Zbl 0403.10004
Erdős, Paul; Loxton, J. H.
1
1979
On the determination of Gauss sums. Zbl 0373.10023
Loxton, John H.
1
1977
On a cyclotomic diophantine equation. Zbl 0292.12007
Loxton, J. H.
1
1974
A cubic analogue of the RSA cryptosystem. Zbl 1049.94014
Said, Mohamad Rushdan Md.; Loxton, John
1
2003
Estimates for complete multiple exponential sums. Zbl 0963.11044
Loxton, J. H.
3
2000
Counting algebraic units with bounded height. Zbl 0786.11064
Everest, G. R.; Loxton, J. H.
2
1993
A cubic RSA code equivalent to factorization. Zbl 0755.94008
Loxton, J. H.; Khoo, David S. P.; Bird, Gregory J.; Seberry, Jennifer
2
1992
Common summands in partitions. Zbl 0768.11040
Loxton, J. H.; Yeung, Hang-Fai
1
1992
Number theory and cryptography. Papers presented at the 33rd annual meeting of the Australian Mathematical Society and at a workshop on number theory and cryptography in telecommunications held at Macquarie University in Sydney, Australia, from 29 June to 7 July 1989. Zbl 0695.00009
Loxton, J. H. (ed.)
2
1990
Arithmetic properties of automata: regular sequences. Zbl 0656.10033
Loxton, J. H.; van der Poorten, A. J.
12
1988
Automata and transcendence. Zbl 0656.10032
Loxton, J. H.
2
1988
Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant. Zbl 0649.12003
Barrucand, Pierre; Loxton, John; Williams, H. C.
4
1987
An awful problem about integers in base four. Zbl 0636.10003
Loxton, J. H.; van der Poorten, A. J.
2
1987
A lower bound for linear forms in the logarithms of algebraic numbers. Zbl 0623.10023
Loxton, J. H.; Mignotte, M.; van der Poorten, A. J.; Waldschmidt, M.
1
1987
Some problems involving powers of integers. Zbl 0549.10012
Loxton, J. H.
7
1986
Diophantine analysis. Proceedings of the Number Theory Section of the 1985 Australian Mathematical Society Convention (University of New South Wales). Zbl 0583.00005
Loxton, J. H. (ed.); van der Poorten, A. J. (ed.)
2
1986
Newton polyhedra and solutions of congruences. Zbl 0601.12023
Atan, Kamel A.; Loxton, J. H.
1
1986
Asymptotic analysis of Ramanujan pairs. Zbl 0588.10055
Acreman, D.; Loxton, J. H.
1
1986
The estimation of complete exponential sums. Zbl 0575.10033
Loxton, J. H.; Vaughan, R. C.
15
1985
The distribution of exponential sums. Zbl 0574.10042
Loxton, J. H.
1
1985
Special values of the dilogarithm function. Zbl 0485.10036
Loxton, J. H.
7
1984
A method of Mahler in transcendence theory and some of its applications. Zbl 0519.10022
Loxton, J. H.
3
1984
The graphs of exponential sums. Zbl 0517.10040
Loxton, J. H.
8
1983
Multiplicative dependence in number fields. Zbl 0478.10019
Loxton, J. H.; van der Poorten, A. J.
7
1983
Arithmetic properties of the solutions of a class of functional equations. Zbl 0468.10019
Loxton, J. H.; van der Poorten, A. J.
10
1982
On Hua’s estimate for exponential sums. Zbl 0474.10030
Loxton, John H.; Smith, Robert A.
8
1982
Estimates for multiple exponential sums. Zbl 0493.10041
Loxton, John H.; Smith, Robert A.
3
1982
The kernel of a rule of approximate integration. Zbl 0418.41026
Loxton, J. H.; Sanders, J. W.
8
1980
On an inversion theorem of Möbius. Zbl 0445.10006
Loxton, J. H.; Sanders, J. W.
6
1980
Multi-dimensional generalizations of the Padé table. Zbl 0423.30033
Loxton, J. H.; Van der Poorten, A. J.
5
1979
Some problems in partitio numerorum. Zbl 0403.10004
Erdős, Paul; Loxton, J. H.
1
1979
Algebraic independence properties of the Fredholm series. Zbl 0392.10034
Loxton, J. H.; van der Poorten, A. J.
10
1978
A note on the characterization of CM-fields. Zbl 0413.12002
Blanksby, P. E.; Loxton, J. H.
7
1978
Some conjectures concerning Gauss sums. Zbl 0362.10033
Loxton, J. H.
6
1978
Arithmetic properties of certain functions in several variables. III. Zbl 0339.10028
Loxton, J. H.; van der Poorten, A. J.
26
1977
A class of hypertranscendental functions. Zbl 0384.10014
Loxton, J. H.; van der Poorten, A. J.
18
1977
Transcendence and algebraic independence by a method of Mahler. Zbl 0378.10020
Loxton, J. H.; van der Poorten, A. J.
14
1977
Multiplicative relations in number fields. Zbl 0335.10023
van der Poorten, A. J.; Loxton, J. H.
11
1977
Arithmetic properties of certain functions in several variables. II. Zbl 0339.10027
Loxton, J. H.; van der Poorten, A. J.
10
1977
On the growth of recurrence sequences. Zbl 0348.10007
Loxton, J. H.; van der Poorten, A. J.
8
1977
Arithmetic properties of certain functions in several variables. Zbl 0339.10026
Loxton, J. H.; van der Poorten, A. J.
8
1977
Computing the effectively computable bound in Baker’s inequality for linear forms in logarithms, and: Multiplicative relations in number fields: Corrigenda and addenda. Zbl 0362.10019
van der Poorten, A. J.; Loxton, J. H.
3
1977
On the determination of Gauss sums. Zbl 0373.10023
Loxton, John H.
1
1977
On algebraic functions satisfying a class of functional equations. Zbl 0339.12002
Loxton, J. H.; van der Poorten, A. J.
4
1976
Computing the effectively computable bound in Baker’s inequality for linear forms in logarithms. Zbl 0324.10012
van der Poorten, A. J.; Loxton, J. H.
2
1976
Congruence properties of the binary partition function. Zbl 0314.10004
Hirschhorn, M. D.; Loxton, J. H.
2
1975
Products related to Gauss sums. Zbl 0293.10019
Loxton, J. H.
6
1974
On two problems of R. M. Robinson about sums of roots of unity. Zbl 0263.12002
Loxton, J. H.
5
1974
On a cyclotomic diophantine equation. Zbl 0292.12007
Loxton, J. H.
1
1974
On the maximum modulus of cyclotomic integers. Zbl 0217.04203
Loxton, J. H.
12
1972
all top 5

Cited by 235 Authors

7 Shparlinski, Igor E.
7 Tanaka, Taka-aki
7 van der Poorten, Alfred J.
5 Adamczewski, Boris
5 Allouche, Jean-Paul Simon
5 Nishioka, Kumiko
5 Schmeisser, Gerhard
5 Tachiya, Yohei
4 Amou, Masaaki
4 Bugeaud, Yann
4 Lewin, Leonard
4 Louboutin, Stéphane R.
4 Loxton, John H.
4 Ostafe, Alina
4 Sha, Min
4 Väänänen, Keijo O.
3 Abouzahra, M. D.
3 Bundschuh, Peter
3 Evans, Ronald J.
3 Kurosawa, Takeshi
3 Kwon, DoYong
3 Masser, David William
3 Mauduit, Christian
3 Mendès France, Michel
3 Mignotte, Maurice
3 Nuttall, John
3 Rahman, Qazi Ibadur
3 Shiokawa, Iekata
3 Stan, Florin
3 Stewart, Cameron L.
3 Wen, Zhixiong
3 Zaharescu, Alexandru
2 Atan, Kamel Ariffin Mohd.
2 Becker, Paul-Georg
2 Berndt, Bruce Carl
2 Butzer, Paul Leo
2 Chamizo Lorente, Fernando
2 Cochrane, Todd
2 Coons, Michael
2 Ding, Ping
2 Dubickas, Artūras
2 Katsurada, Masanori
2 Laurent, Michel
2 Le, Maohua
2 Luca, Florian
2 Matthews, Charles Russell
2 Morrison, Scott
2 Nishioka, Keiji
2 Paris, Richard Bruce
2 Pellarin, Federico
2 Philippon, Patrice
2 Reshetukha, I. V.
2 Shallit, Jeffrey O.
2 Snyder, Noah
2 Tamura, Jun-ichi
2 Tanuma, Yusuke
2 Töpfer, Thomas
2 Waldschmidt, Michel
2 Wen, Zhi-Ying
2 Yu, Kunrui
2 Zaïmi, Toufik Mostepha
2 Zamboni, Luca Quardo
2 Zheng, Zhiyong
1 Acreman, Dennis
1 Adams, William W.
1 Ali, Zulkarnain Md
1 Anderson, Michael
1 Andrews, George Eyre
1 Arredondo, John Alexander
1 Aubry, Yves
1 Bailey, David Harold
1 Bank, Steven B.
1 Bardaro, Carlo
1 Beli, Constantin-Nicolae
1 Bell, Jason P.
1 Ben Arous, Gérard
1 Bennett, Michael A.
1 Bergweiler, Walter
1 Bernstein, Daniel Julius
1 Bertrand, Daniel
1 Beukers, Frits
1 Bézivin, Jean-Paul
1 Biggs, Norman L.
1 Biran, Paul
1 Borges, Joaquim
1 Borwein, Jonathan Michael
1 Borwein, Peter Benjamin
1 Bousquet-Mélou, Mireille
1 Brenner, Charles H.
1 Brinkhuis, Jan
1 Browning, Timothy Daniel
1 Buell, Duncan A.
1 Calegari, Frank
1 Cassaigne, Julien
1 Chalk, John H. H.
1 Chen, Evan
1 Chen, Gongliang
1 Chen, Jin
1 Chi, Dongpyo
1 Chirikov, Boris Valerianovich
...and 135 more Authors
all top 5

Cited in 90 Serials

33 Journal of Number Theory
9 Journal de Théorie des Nombres de Bordeaux
8 Aequationes Mathematicae
7 Compositio Mathematica
6 Proceedings of the American Mathematical Society
6 Theoretical Computer Science
5 Mathematical Notes
5 Transactions of the American Mathematical Society
5 Indagationes Mathematicae. New Series
4 Inventiones Mathematicae
4 Journal of Combinatorial Theory. Series A
4 International Journal of Number Theory
3 Journal of Mathematical Analysis and Applications
3 Annales de l’Institut Fourier
3 Archiv der Mathematik
3 Journal of Approximation Theory
3 Monatshefte für Mathematik
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Bulletin of the Australian Mathematical Society
2 Acta Arithmetica
2 Glasgow Mathematical Journal
2 Journal of Computational and Applied Mathematics
2 Journal of Soviet Mathematics
2 Manuscripta Mathematica
2 Mathematika
2 Numerische Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Results in Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Acta Mathematica Hungarica
2 Journal of the American Mathematical Society
2 Designs, Codes and Cryptography
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Mathematical Sciences (New York)
2 The Ramanujan Journal
2 Integers
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 International Journal of Mathematical Education in Science and Technology
1 Israel Journal of Mathematics
1 Problems of Information Transmission
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 Acta Mathematica
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Calcolo
1 Commentationes Mathematicae Universitatis Carolinae
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Tokyo Journal of Mathematics
1 Topology and its Applications
1 European Journal of Combinatorics
1 Ergodic Theory and Dynamical Systems
1 Combinatorica
1 Physica D
1 Applied Numerical Mathematics
1 Journal of Symbolic Computation
1 Constructive Approximation
1 Revista Matemática Iberoamericana
1 Journal of Cryptology
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Acta Mathematica Sinica. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Applied and Computational Harmonic Analysis
1 Finite Fields and their Applications
1 The New York Journal of Mathematics
1 Documenta Mathematica
1 Acta Mathematica Sinica. English Series
1 Qualitative Theory of Dynamical Systems
1 Journal of the Australian Mathematical Society
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Modern Dynamics

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