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Clarke, Francis Willoughby

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 Author ID: clarke.francis-w Published as: Clarke, F. W.; Clarke, Francis; Clarke, Francis W. External Links: MGP
 Documents Indexed: 27 Publications since 1974 Biographic References: 1 Publication
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Co-Authors

 13 single-authored 4 Whitehouse, Sarah 3 Crossley, Martin D. 2 Johnson, Keith Peter 2 Ray, Nigel 1 Adams, John Frank 1 Baker, Andrew J. 1 Everitt, William Norrie 1 Hunton, John Robert 1 Jones, Christine E. 1 Littlejohn, Lance L. 1 Schwartz, Lionel 1 Slavutskii, Ilya Sh. 1 Thomas, Anthony D. 1 Vorster, S. J. Roelof 1 Waller, Derek A.
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Serials

 3 Bulletin of the London Mathematical Society 3 Proceedings of the American Mathematical Society 2 Journal of Pure and Applied Algebra 2 Topology 2 Transactions of the American Mathematical Society 1 American Mathematical Monthly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 $$K$$-Theory 1 Applicable Algebra in Engineering, Communication and Computing 1 Proceedings of the Cambridge Philosophical Society
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Fields

 14 Number theory (11-XX) 14 Algebraic topology (55-XX) 4 $$K$$-theory (19-XX) 4 Manifolds and cell complexes (57-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

16 Publications have been cited 78 times in 52 Documents Cited by Year
The universal von Staudt theorems. Zbl 0683.10013
Clarke, Francis
1989
On the Kummer congruences and the stable homotopy of BU. Zbl 0709.55012
Baker, Andrew; Clarke, Francis; Ray, Nigel; Schwartz, Lionel
1989
Self-maps of BU. Zbl 0491.55010
Clarke, Francis
1981
Stable operations on complex K-theory. Zbl 0379.55012
Adams, J. F.; Clarke, F. W.
1977
Bases for cooperations in $$K$$-theory. Zbl 0997.55021
Clarke, Francis; Crossley, M. D.; Whitehouse, Sarah
2001
Hensel’s lemma and the divisibility by primes of Stirling-like numbers. Zbl 0839.11061
Clarke, Francis
1995
Algebras of operations in $$K$$-theory. Zbl 1065.55011
Clarke, Francis; Crossley, Martin; Whitehouse, Sarah
2005
The discrete module category for the ring of $$K$$-theory operations. Zbl 1119.55009
Clarke, Francis; Crossley, Martin; Whitehouse, Sarah
2007
On the classifying ring for Abel formal group laws. Zbl 1173.55002
Clarke, Francis; Johnson, Keith
2009
A congruence for factorials. Zbl 1059.11021
Clarke, Francis; Jones, Christine
2004
Extensions of umbral calculus. II: Double delta operators, Leibniz extensions and Hattori-Stong theorems. Zbl 0962.05012
Clarke, Francis; Hunton, John; Ray, Nigel
2001
Cooperations in elliptic homology. Zbl 0780.55011
Clarke, Francis; Johnson, Keith
1992
The commutator subgroup of a free topological group need not be projective. Zbl 0353.22004
Clarke, Francis
1976
On the K-theory of the loop space of a Lie group. Zbl 0284.55005
Clarke, Francis
1974
H. J. S. Smith and the Fermat two squares theorem. Zbl 1029.01006
Clarke, F. W.; Everitt, W. N.; Littlejohn, L. L.; Vorster, S. J. R.
1999
The integrality of the values of Bernoulli polynomials and of generalised Bernoulli numbers. Zbl 0865.11021
Clarke, Francis; Slavutskii, I. Sh.
1997
On the classifying ring for Abel formal group laws. Zbl 1173.55002
Clarke, Francis; Johnson, Keith
2009
The discrete module category for the ring of $$K$$-theory operations. Zbl 1119.55009
Clarke, Francis; Crossley, Martin; Whitehouse, Sarah
2007
Algebras of operations in $$K$$-theory. Zbl 1065.55011
Clarke, Francis; Crossley, Martin; Whitehouse, Sarah
2005
A congruence for factorials. Zbl 1059.11021
Clarke, Francis; Jones, Christine
2004
Bases for cooperations in $$K$$-theory. Zbl 0997.55021
Clarke, Francis; Crossley, M. D.; Whitehouse, Sarah
2001
Extensions of umbral calculus. II: Double delta operators, Leibniz extensions and Hattori-Stong theorems. Zbl 0962.05012
Clarke, Francis; Hunton, John; Ray, Nigel
2001
H. J. S. Smith and the Fermat two squares theorem. Zbl 1029.01006
Clarke, F. W.; Everitt, W. N.; Littlejohn, L. L.; Vorster, S. J. R.
1999
The integrality of the values of Bernoulli polynomials and of generalised Bernoulli numbers. Zbl 0865.11021
Clarke, Francis; Slavutskii, I. Sh.
1997
Hensel’s lemma and the divisibility by primes of Stirling-like numbers. Zbl 0839.11061
Clarke, Francis
1995
Cooperations in elliptic homology. Zbl 0780.55011
Clarke, Francis; Johnson, Keith
1992
The universal von Staudt theorems. Zbl 0683.10013
Clarke, Francis
1989
On the Kummer congruences and the stable homotopy of BU. Zbl 0709.55012
Baker, Andrew; Clarke, Francis; Ray, Nigel; Schwartz, Lionel
1989
Self-maps of BU. Zbl 0491.55010
Clarke, Francis
1981
Stable operations on complex K-theory. Zbl 0379.55012
Adams, J. F.; Clarke, F. W.
1977
The commutator subgroup of a free topological group need not be projective. Zbl 0353.22004
Clarke, Francis
1976
On the K-theory of the loop space of a Lie group. Zbl 0284.55005
Clarke, Francis
1974
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Cited by 54 Authors

 5 Hong, Shaofang 5 Whitehouse, Sarah 4 Ray, Nigel 4 Tempesta, Piergiulio 3 Adelberg, Arnold M. 3 Clarke, Francis Willoughby 3 Johnson, Keith Peter 3 Roitzheim, Constanze Susanne Ruth 3 Schwartz, Lionel 3 Zhao, Jianrong 3 Zhao, Wei 2 Davis, Donald M. 2 Hunton, John Robert 2 Strong, M-J. 1 Ait-Amrane, Lyes 1 B. Langlois, Marie-Andrée 1 Baker, Andrew J. 1 Bakuradze, Malkhaz 1 Barker, Jonathan 1 Barnes, David 1 Bousfield, A. K. 1 Carlisle, David P. 1 Clarke, C. J. S. 1 Clarke, Francis H. 1 Dağli, Muhammet Cihat 1 Eccles, Peter John 1 Ellis, Eugenia 1 Franjou, Vincent 1 Gálvez, Imma 1 Ghullam, Sabah A. 1 Gonzalez, Jesus 1 Gritschacher, Simon Philipp 1 Guo, Victor J. W. 1 Hignett, A. J. 1 Hilditch, S. 1 Imaoka, Mitsunori 1 Laures, Gerd 1 Lengyel, Tamás 1 Marmi, Stefano 1 Mukhin, Yurii N. 1 Ochanine, Serge 1 Pan, Hao 1 Pelaez, Pablo 1 Qiu, Min 1 Ren, Wenli 1 Scull, Laura 1 Snaith, Victor P. 1 Walker, Grant 1 Wang, Weiping 1 Weibel, Charles A. 1 Wood, Reginald M. W. 1 Yarnall, Carolyn 1 Young, Paul Thomas 1 Zudilin, Wadim
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Cited in 32 Serials

 5 Proceedings of the American Mathematical Society 4 Journal of Number Theory 4 Mathematische Zeitschrift 3 Discrete Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal of Pure and Applied Algebra 2 Bulletin de la Société Mathématique de France 2 Journal of Algebra 2 Topology and its Applications 1 Reports on Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Soviet Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 $$K$$-Theory 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Algebraic Combinatorics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of $$K$$-Theory 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Actes des Rencontres du C.I.R.M.
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Cited in 18 Fields

 27 Algebraic topology (55-XX) 25 Number theory (11-XX) 8 Combinatorics (05-XX) 7 Commutative algebra (13-XX) 7 $$K$$-theory (19-XX) 6 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 3 Special functions (33-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)