This is a list of my publications.
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[50]
Horst Alzer &Robin Chapman:
On Boole's formula for factorials.
Australas. J. Combin.
59(2) (2014),
333--336.
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[49]
Robin Chapman (ed.),
Surveys in Combinatorics 2011,
Cambridge University Press, 2011.
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[48]
Robin Chapman, William B. Hart and Pee Choon Toh:
A new class of theta function identities in two variables.
Journal of Combinatorics and Number Theory
2 (2010),
201--208.
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[47]
Robin Chapman:
Generalizations of Ehrhart-Macdonald reciprocity.
Journal of Combinatorics and Number Theory
2 (2010),
189--199.
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[46]
Robin Chapman:
Limit formulas for non-modular Eisenstein series.
Journal of Combinatorics and Number Theory
1 (2009),
127--132.
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[45]
Robin J. Chapman, Timothy Y. Chow, Amit Khetan, David Petrie Moulton
& Robert J. Waters:
Simple formulas for lattice paths avoiding certain periodic
staircase boundaries.
J. Combin. Theory Ser. A
116 (2009),
205--214.
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[44]
Robin Chapman:
Lagrange inversion and Stirling number convolutions.
Integers
8(1) (2008),
A57 (electronic), 5 pp.
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[43]
Robin Chapman:
Representations of integers by the form x^2 + xy + y^2 + z^2 + zt + t^2.
Int. J. Number Theory
4 (2008),
709--714.
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[42]
Robin Chapman & Hao Pan:
q-analogues of Wilson's theorem.
Int. J. Number Theory
4 (2008),
539--547.
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[41]
Robin Chapman:
Evaluating sum_{n=1}^N(a+nd)^p again.
Math. Gaz.
92 (2008),
92--94.
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[40]
Robin Chapman & Lauren K. Williams:
A conjecture of Stanley on alternating permutations.
Electron. J. Combin.
14(1) (2007),
Note 16, 7 pp. (electronic).
MR: 2008f:05003.
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[39]
Robin Chapman:
Square sums of consecutive triangular numbers.
Math. Gaz.
91 (2007),
77--81.
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[38]
Robin Chapman & William Hart:
Evaluation of the Dedekind eta function.
Can. Math. Bull.
49 (2006),
21--35.
MR: 2007f:11042,
Zbl.: 1104.11018.
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[37]
Robin Chapman:
An infinite family of dual sequence identities.
Integers
5(1) (2005),
A31 (electronic), 8 pp.
MR:2006g:11037.
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[36]
Robin Chapman:
A probabilistic proof of the Andrews-Gordon identities.
Discrete Math.
290 (2005),
79--84.
MR: 2005i:11145,
Zbl.: 1081.11066.
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[35]
Robin Chapman:
Cubic identities for theta series in three variables.
Ramanujan J.
8 (2004),
459--465.
MR: 2005k:11090,
Zbl.: 1118.11023.
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[34]
Robin Chapman:
Determinants of Legendre symbol matrices.
Acta Arith.
115 (2004),
231--244.
MR: 2005f:11039,
Zbl.: 1073.15006.
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[33]
Robin Chapman:
Steinitz classes of unimodular lattices.
European J. Combin.
25 (2004),
487--493.
MR: 2005e:11088,
Zbl.: 1073.05014.
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[32]
Roland Bacher & Robin Chapman:
Symmetric Pascal matrices modulo p.
European J. Combin.
25 (2004),
459--473.
MR: 2005g:11034,
Zbl.: 1055.15028.
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[31]
Robin Chapman:
A curious identity, revisited.
Math. Gaz.
87 (2003),
139--141.
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[30]
Robin Chapman:
Partition identities arising from involutions.
Australas. J. Combin.
27 (2003),
285--291.
MR: 2003m:05013,
Zbl.: 1019.05007.
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[29]
Robin Chapman & Alfred J. van der Poorten:
Binary quadratic forms and the eta function.
Number theory for the millennium I, (Urbana, IL, 2000)
215--227,
A K Peters, Natick MA, 2002.
MR 2004b:11045,
Zbl.: 1038.11024.
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[28]
Robin Chapman:
A new proof of some identities of Bressoud.
Int. J. Math. Math. Sci.
32 (2002),
627--633.
MR: 2003m:05012,
Zbl.: 1004.05008.
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[27]
Robin Chapman, Steven T. Dougherty, Philippe Gaborit & Patrick Solé:
2-modular lattices from ternary codes.
J. Théor. Nombres Bordeaux
14 (2002),
73--85.
MR: 2004g:94091,
Zbl.: 1050.94018.
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[26]
Robin Chapman:
Combinatorial proofs of q-series identities.
J. Combin. Theory Ser. A
99 (2002),
1--16.
MR: 2003e:05009,
Zbl.: 1013.05012.
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[25]
Robin Chapman:
Conference matrices and unimodular lattices.
European J. Combin.
22 (2001),
1033--1045.
MR: 2002h:05028,
Zbl.: 0993.05036.
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[24]
Robin Chapman:
Coefficients of products of powers of eta functions.
Ramanujan J.
5 (2001),
271--279.
MR: 2002m:11034,
Zbl.: 1011.11024.
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[23]
Robin Chapman:
Alternating sign matrices and tournaments.
Adv. Appl. Math.
27 (2001),
318--335.
MR: 2002j:05074,
Zbl.: 0990.05001.
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[22]
Robin Chapman:
An involution on derangements.
Discrete Math.
231 (2001),
121--122.
MR: 2002a:05007,
Zbl.: 0979.20001.
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[21]
Robin Chapman:
Reciprocity laws for generalized higher dimensional Dedekind sums.
Acta Arith.
93 (2000),
189--199.
MR 2001g:11057,
Zbl.: 0944.11013.
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[20]
Robin Chapman:
Franklin's argument proves an identity of Zagier.
Electron. J. Combin.
7(1) (2000),
Research Paper 54, 5 pp. (electronic).
MR: 2002c:11133,
Zbl.: 0962.05011.
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[19]
Robin Chapman:
Double circulant constructions of the Leech lattice.
J. Austral. Math. Soc. Ser. A
69 (2000),
287--297.
MR: 2002a:11071,
Zbl.: 0964.11030.
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[18]
Nigel P. Byott & Robin J. Chapman:
Power sums over finite subspaces of a field.
Finite Fields Appl.
5 (1999),
254--265.
MR: 2000g:11119,
Zbl.: 1029.11069.
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[17]
Robin Chapman:
On a septuple product identity.
Sém. Lothar. Combin.
43 (1999),
Art. B43c, 4 pp. (electronic).
MR: 2001b:05017,
Zbl.: 1007.11009.
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[16]
Robin Chapman:
Moments of Dyck paths.
Discrete Math.
204 (1999),
113--117.
MR: 2000g:05011,
Zbl.: 0932.05004.
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[15]
Robin Chapman:
Higher power residue codes.
Finite Fields Appl.
3 (1997),
353--369.
MR: 98j:11117,
Zbl.: 1053.94559.
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[14]
Robin Chapman
Completely normal elements in iterated quadratic extensions of finite fields.
Finite Fields Appl.
3 (1997),
1--10.
MR: 98a:11172,
Zbl.: 0952.11028.
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[13]
Robin Chapman & Patrick Solé:
Universal codes and unimodular lattices.
J. Théor. Nombres Bordeaux
8 (1996),
369--376.
MR: 97k:94045,
Zbl.: 0873.11028.
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[12]
Robin J. Chapman:
A simple proof of Noether's theorem.
Glasgow Math. J.
38 (1996),
49--51.
MR: 97a:11186,
Zbl.: 0848.11060
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[11]
Robin J. Chapman & Julie Haviland:
The rotation index of a graph.
Ars Combin.
42 (1996),
121--128.
MR: 96m:05107,
Zbl.: 0848.05037.
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[10]
Robin Chapman:
A polynomial taking integer values.
Math. Mag.
69 (1996),
121.
Zbl.: 0903.11023.
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[9]
Robin J. Chapman:
Automorphism polynomials in cyclic cubic extensions.
J. Number Theory
61 (1996),
283--291.
MR: 98a:12004,
Zbl.: 0876.11048.
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[8]
Robin J. Chapman:
Shrinking integer lattices.
Discrete Math.
142 (1995),
39--48.
MR: 96e:11088,
Zbl.: 0831.11034.
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[7]
Robin J. Chapman & Bridget S. Webb:
A note on a lemma of Brauer.
Discrete Math.
138 (1995),
187--191.
MR: 96a:05036,
Zbl.: 821.51010.
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[6]
Robin J. Chapman:
An elementary proof of the simplicity of the Mathieu groups M_11 and M_23.
Amer. Math. Monthly
102 (1995),
544--545.
Zbl.: 0836.20012.
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[5]
Robin J. Chapman & Julie Haviland:
Generalized rotation numbers.
J. Graph Theory
17 (1993),
291--301.
MR: 94d:05067,
Zbl.: 0792.05075.
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[4]
Robin J. Chapman:
Shrinking integer lattices. II.
J. Pure Appl. Algebra
78 (1992),
123--129.
MR: 95c:11083,
Zbl.: 0771.11025.
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[3]
R. J. Chapman:
Classgroups of sheaves of locally free modules over global function fields.
The arithmetic of function fields (Columbus, OH, 1991),
403--411,
Ohio State Univ. Math. Res. Inst. Publ., 2
de Gruyter, Berlin, 1992.
MR: 93i:11128,
Zbl.: 0801.11047.
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[2]
R. J. Chapman:
Kummer theory and Galois module structure in global function fields.
Math. Z.
208 (1991),
375--388.
MR: 93f:11081,
Zbl.: 0736.11067.
-
[1]
R. J. Chapman:
Carlitz modules and normal integral bases.
J. London Math. Soc. (2)
44 (1991),
250--260.
MR: 92j:11129,
Zbl.: 0749.11049.
I have had solutions to problems published in
SIAM Review, Mathematics Magazine, The College Mathematical Journal,
The Mathematical Gazette, and most notably (over a hundred) in
The American Mathematical Monthly. I also contribute
to Mathematical Reviews.
Robin Chapman
rjc@maths.ex.ac.uk
28th April 2014
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