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Odoni, R. W. K.

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Author ID: odoni.r-w-k Recent zbMATH articles by "Odoni, R. W. K."
Published as: Odoni, R. W. K.; Odoni, R.
Documents Indexed: 55 Publications since 1973
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 192 times in 156 Documents Cited by Year
The Galois theory of iterates and composites of polynomials. Zbl 0622.12011
Odoni, R. W. K.
39
1985
A conjecture of Krishnamurthy on decimal periods and some allied problems. Zbl 0471.10031
Odoni, R. W. K.
15
1981
Realising wreath products of cyclic groups as Galois groups. Zbl 0662.12010
Odoni, R. W. K.
12
1988
On the prime divisors of the sequence \(w_{n+1}=1+w_ 1\dots w_ n\). Zbl 0574.10020
Odoni, R. W. K.
12
1985
Some density results for negative Pell equations; an application of graph theory. Zbl 0678.10015
Cremona, J. E.; Odoni, R. W. K.
11
1989
On Gauss sums \(\pmod{p^n}\), \(n\ge 2\). Zbl 0269.10020
Odoni, R.
9
1973
On the norms of algebraic integers. Zbl 0313.12007
Odoni, R. W. K.
9
1975
Some Diophantine problems arising from the theory of cyclically-presented groups. Zbl 0932.20036
Odoni, R. W. K.
8
1999
Some results on symmetrically-presented groups. Zbl 0835.20044
Johnson, D. L.; Odoni, R. W. K.
7
1994
On norms of integers in a full module of an algebraic number field and the distribution of values of binary integral quadratic forms. Zbl 0319.12006
Odoni, R. W. K.
6
1975
On the least primitive root modulo p\(^2\). Zbl 0276.10027
Cohen, S. D.; Odoni, R. W. K.; Stothers, W. W.
4
1974
Weil numbers and CM-fields. I. Zbl 0656.12002
Greaves, A.; Odoni, R. W. K.
4
1988
Representations of algebraic integers by binary quadratic forms and norm forms from full modules of extension fields. Zbl 0411.12010
Odoni, R. W. K.
4
1978
The distribution of integral and prime-integral values of systems of full-norm polynomials and affine-decomposable polynomials. Zbl 0444.12008
Odoni, R. W. K.
4
1979
On additive polynomials over a finite field. Zbl 1055.11524
Odoni, R. W. K.
4
1999
Almost all Bianchi groups have free, non-cyclic quotients. Zbl 0758.20009
Mason, A. W.; Odoni, R. W. K.; Stothers, W. W.
3
1992
A problem of Rankin on sums of powers of cusp-form coefficients. Zbl 0757.11014
Odoni, R. W. K.
3
1991
Non-normal, standard subgroups of the Bianchi groups. Zbl 0844.20030
Mason, A. W.; Odoni, R. W. K.
3
1996
The Farey density of norm subgroups of global fields. II. Zbl 0363.12014
Cohen, S. D.; Odoni, R. W. K.
3
1977
Notes on the method of Frobenian functions with applications to Fourier coefficients of modular forms. Zbl 0596.10040
Odoni, R. W. K.
2
1985
A note on a recent paper of Iwasawa on the capitulation problem. Zbl 0701.11049
Odoni, R. W. K.
2
1989
A generalization of a result of Iwasawa on the capitulation problem. Zbl 0705.11068
Cremona, J. E.; Odoni, R. W. K.
2
1990
Galois groups associated with CM-fields, skew-symmetric matrices and orthogonal matrices. Zbl 0708.11055
Cohen, S. D.; Odoni, R. W. K.
2
1990
A proof by classical methods of a result of Ax on polynomial congruences modulo a prime. Zbl 0425.12003
Odoni, R. W. K.
2
1979
Weil numbers and CM fields. II. Zbl 0739.11044
Odoni, R. W. K.
2
1991
On the number of integral ideals of given norm and ray-class. Zbl 0754.11035
Odoni, R. W. K.
2
1991
Structure of Bernstein algebras. Zbl 0754.17028
Odoni, R. W. K.; Stratton, A. E.
2
1989
Solution of a generalised version of a problem of Rankin on sums of powers of cusp-form coefficients. Zbl 1188.11013
Odoni, R. W. K.
2
2002
Free quotients of subgroups of the Bianchi groups whose kernels contain many elementary matrices. Zbl 0813.20054
Mason, A. W.; Odoni, R. W. K.
2
1994
A new equidistribution property of norms of ideals in given classes. Zbl 0363.10025
Odoni, R. W. K.
2
1977
Trigonometric sums of Heilbronn’s type. Zbl 0579.10016
Odoni, R. W. K.
2
1985
The Farey density of norm subgroups of global fields. I. Zbl 0287.12020
Odoni, R. W. K.
1
1973
Scalar products of certain Hecke L-series and moments of weighted norm- counting functions. Zbl 0599.12011
Odoni, R. W. K.
1
1985
On the distribution of norms of ideals in given ray-classes and the theory of central ray-class fields. Zbl 0694.12007
Odoni, R. W. K.
1
1989
Solution of some problems of Serre on modular forms: The method of Frobenian functions. Zbl 0472.10047
Odoni, R. W. K.
1
1981
Ideal class groups of Dedekind domains contained in function fields. Zbl 0997.11104
Mason, A. W.; Odoni, R. W. K.
1
1997
Equidistribution of values of rational functions \(\pmod p\). Zbl 0838.11077
Odoni, R. W. K.; Spain, P. G.
1
1995
Character sums and \(Z\)-cyclic whist tournaments. Zbl 0836.05015
Anderson, I.; Finizio, N. J.; Odoni, R. W. K.
1
1994
On \(|\alpha|^2+|\beta|^2=p^t\) in certain cyclotomic fields. Zbl 0372.12008
Lal, Sunder; McFarland, R. L.; Odoni, R. W. K.
1
1977
Solution of a generalised version of a problem of Rankin on sums of powers of cusp-form coefficients. Zbl 1188.11013
Odoni, R. W. K.
2
2002
Some Diophantine problems arising from the theory of cyclically-presented groups. Zbl 0932.20036
Odoni, R. W. K.
8
1999
On additive polynomials over a finite field. Zbl 1055.11524
Odoni, R. W. K.
4
1999
Ideal class groups of Dedekind domains contained in function fields. Zbl 0997.11104
Mason, A. W.; Odoni, R. W. K.
1
1997
Non-normal, standard subgroups of the Bianchi groups. Zbl 0844.20030
Mason, A. W.; Odoni, R. W. K.
3
1996
Equidistribution of values of rational functions \(\pmod p\). Zbl 0838.11077
Odoni, R. W. K.; Spain, P. G.
1
1995
Some results on symmetrically-presented groups. Zbl 0835.20044
Johnson, D. L.; Odoni, R. W. K.
7
1994
Free quotients of subgroups of the Bianchi groups whose kernels contain many elementary matrices. Zbl 0813.20054
Mason, A. W.; Odoni, R. W. K.
2
1994
Character sums and \(Z\)-cyclic whist tournaments. Zbl 0836.05015
Anderson, I.; Finizio, N. J.; Odoni, R. W. K.
1
1994
Almost all Bianchi groups have free, non-cyclic quotients. Zbl 0758.20009
Mason, A. W.; Odoni, R. W. K.; Stothers, W. W.
3
1992
A problem of Rankin on sums of powers of cusp-form coefficients. Zbl 0757.11014
Odoni, R. W. K.
3
1991
Weil numbers and CM fields. II. Zbl 0739.11044
Odoni, R. W. K.
2
1991
On the number of integral ideals of given norm and ray-class. Zbl 0754.11035
Odoni, R. W. K.
2
1991
A generalization of a result of Iwasawa on the capitulation problem. Zbl 0705.11068
Cremona, J. E.; Odoni, R. W. K.
2
1990
Galois groups associated with CM-fields, skew-symmetric matrices and orthogonal matrices. Zbl 0708.11055
Cohen, S. D.; Odoni, R. W. K.
2
1990
Some density results for negative Pell equations; an application of graph theory. Zbl 0678.10015
Cremona, J. E.; Odoni, R. W. K.
11
1989
A note on a recent paper of Iwasawa on the capitulation problem. Zbl 0701.11049
Odoni, R. W. K.
2
1989
Structure of Bernstein algebras. Zbl 0754.17028
Odoni, R. W. K.; Stratton, A. E.
2
1989
On the distribution of norms of ideals in given ray-classes and the theory of central ray-class fields. Zbl 0694.12007
Odoni, R. W. K.
1
1989
Realising wreath products of cyclic groups as Galois groups. Zbl 0662.12010
Odoni, R. W. K.
12
1988
Weil numbers and CM-fields. I. Zbl 0656.12002
Greaves, A.; Odoni, R. W. K.
4
1988
The Galois theory of iterates and composites of polynomials. Zbl 0622.12011
Odoni, R. W. K.
39
1985
On the prime divisors of the sequence \(w_{n+1}=1+w_ 1\dots w_ n\). Zbl 0574.10020
Odoni, R. W. K.
12
1985
Notes on the method of Frobenian functions with applications to Fourier coefficients of modular forms. Zbl 0596.10040
Odoni, R. W. K.
2
1985
Trigonometric sums of Heilbronn’s type. Zbl 0579.10016
Odoni, R. W. K.
2
1985
Scalar products of certain Hecke L-series and moments of weighted norm- counting functions. Zbl 0599.12011
Odoni, R. W. K.
1
1985
A conjecture of Krishnamurthy on decimal periods and some allied problems. Zbl 0471.10031
Odoni, R. W. K.
15
1981
Solution of some problems of Serre on modular forms: The method of Frobenian functions. Zbl 0472.10047
Odoni, R. W. K.
1
1981
The distribution of integral and prime-integral values of systems of full-norm polynomials and affine-decomposable polynomials. Zbl 0444.12008
Odoni, R. W. K.
4
1979
A proof by classical methods of a result of Ax on polynomial congruences modulo a prime. Zbl 0425.12003
Odoni, R. W. K.
2
1979
Representations of algebraic integers by binary quadratic forms and norm forms from full modules of extension fields. Zbl 0411.12010
Odoni, R. W. K.
4
1978
The Farey density of norm subgroups of global fields. II. Zbl 0363.12014
Cohen, S. D.; Odoni, R. W. K.
3
1977
A new equidistribution property of norms of ideals in given classes. Zbl 0363.10025
Odoni, R. W. K.
2
1977
On \(|\alpha|^2+|\beta|^2=p^t\) in certain cyclotomic fields. Zbl 0372.12008
Lal, Sunder; McFarland, R. L.; Odoni, R. W. K.
1
1977
On the norms of algebraic integers. Zbl 0313.12007
Odoni, R. W. K.
9
1975
On norms of integers in a full module of an algebraic number field and the distribution of values of binary integral quadratic forms. Zbl 0319.12006
Odoni, R. W. K.
6
1975
On the least primitive root modulo p\(^2\). Zbl 0276.10027
Cohen, S. D.; Odoni, R. W. K.; Stothers, W. W.
4
1974
On Gauss sums \(\pmod{p^n}\), \(n\ge 2\). Zbl 0269.10020
Odoni, R.
9
1973
The Farey density of norm subgroups of global fields. I. Zbl 0287.12020
Odoni, R. W. K.
1
1973
all top 5

Cited by 196 Authors

7 Moree, Pieter
7 Tucker, Thomas John
6 Mason, Alexander W.
6 Odoni, R. W. K.
5 Chinen, Koji
5 Jones, Rafe
5 Murata, Leo
5 Williams, Gerald
4 Bridy, Andrew
4 Ghioca, Dragos
3 Benedetto, Robert L.
3 Coleman, Mark D.
3 Hindes, Wade
2 Ahmadi, Omran
2 Boston, Nigel
2 Boucher, Delphine
2 Bourgain, Jean
2 Cohen, Stephen D.
2 Cremona, John E.
2 Doyle, John R.
2 Evans, Ronald J.
2 Faber, Xander
2 Fomenko, Oleg Mstislavovich
2 Gerth, Frank III
2 Hsia, Liang-Chung
2 Hutz, Benjamin
2 Ingram, Patrick
2 Juul, Jamie
2 Kurlberg, Pär
2 Li, Hua-Chieh
2 Luca, Florian
2 Lukina, Olga
2 Manes, Michelle
2 Moroz, Boris Zelikovich Baruch ben Zelik
2 Morton, Patrick
2 Silverman, Joseph Hillel
2 Spaggiari, Fulvia
2 Stevenhagen, Peter
2 Stoll, Michael
2 Thiran, Emmanuel
2 Weyers, J.
1 Aĭzenberg, Lev Abramovich
1 Allman, Elizabeth S.
1 Barquero-Sanchez, Adrian
1 Bary-Soroker, Lior
1 Bayer-Fluckiger, Eva
1 Benjamin, Elliot
1 Bergelson, Vitaly
1 Berger, Laurent
1 Berhuy, Grégory
1 Berndt, Bruce Carl
1 Blomer, Valentin
1 Bogley, William A.
1 Bouw, Irene I.
1 Bringmann, Kathrin
1 Browning, Timothy Daniel
1 Castillo, Marianela
1 Cavicchioli, Alberto
1 Cedó, Ferran
1 Chang, Mei-Chu
1 Chen, Shichao
1 Chinyere, Ihechukwu
1 Chuard-Koulmann, Pascale
1 Cohen, Henri
1 Conway, John Horton
1 Corson, Daniel
1 Coulter, Robert S.
1 Danielson, Lynda
1 Davison, J. Leslie
1 Deninger, Christopher
1 Edjvet, Martin
1 Ejder, Özlem
1 Elin, M. M.
1 Elliott, Peter D. T. A.
1 Elsholtz, Christian
1 Favero, David
1 Fein, Burton
1 Ferraguti, Andrea
1 Finch, Steven R.
1 Finizio, Norman J.
1 Fouvry, Etienne
1 Gallot, Yves
1 Giesbrecht, Mark W.
1 Glasscock, Daniel
1 Gorodetsky, Ofir
1 Gorodnik, Alexander
1 Granville, Andrew James
1 Grunewald, Fritz J.
1 Grytczuk, Aleksander
1 Havas, George
1 Henderson, Marie
1 Hinz, Jürgen G.
1 Holt, Derek F.
1 Hu, Su
1 Hurder, Steven E.
1 Jaulent, Jean-François
1 Jespers, Eric
1 Ji, Chungang
1 Jouve, Florent
1 Juhász, Arye
...and 96 more Authors
all top 5

Cited in 66 Serials

20 Journal of Number Theory
11 Transactions of the American Mathematical Society
6 Journal of Algebra
6 Proceedings of the American Mathematical Society
5 Glasgow Mathematical Journal
5 Journal de Théorie des Nombres de Bordeaux
4 Archiv der Mathematik
4 Mathematika
4 Finite Fields and their Applications
4 International Journal of Number Theory
3 Communications in Algebra
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Monatshefte für Mathematik
3 Proceedings of the Japan Academy. Series A
3 International Journal of Algebra and Computation
3 Bulletin of the American Mathematical Society. New Series
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Mathematics of Computation
2 Indiana University Mathematics Journal
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Siberian Mathematical Journal
2 Experimental Mathematics
2 The Ramanujan Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Mathematics of Communications
2 Annales Mathématiques du Québec
2 Research in the Mathematical Sciences
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Journal d’Analyse Mathématique
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Geometriae Dedicata
1 Journal of Combinatorial Theory. Series A
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 The Journal of Symbolic Logic
1 Osaka Journal of Mathematics
1 Quaestiones Mathematicae
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Physica D
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Designs, Codes and Cryptography
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Journal of Group Theory
1 Journal of the Australian Mathematical Society
1 Science China. Mathematics
1 Research in Number Theory

Citations by Year