My publications

This is a list of my publications.

[49] Robin Chapman (ed.), Surveys in Combinatorics 2011, Cambridge University Press, 2011.
[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.
[47] Robin Chapman: Generalizations of Ehrhart-Macdonald reciprocity. Journal of Combinatorics and Number Theory 2 (2010), 189--199.
[46] Robin Chapman: Limit formulas for non-modular Eisenstein series. Journal of Combinatorics and Number Theory 1 (2009), 127--132.
[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.
[44] Robin Chapman: Lagrange inversion and Stirling number convolutions. Integers 8(1) (2008), A57 (electronic), 5 pp.
[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.
[42] Robin Chapman & Hao Pan: q-analogues of Wilson's theorem. Int. J. Number Theory 4 (2008), 539--547.
[41] Robin Chapman: Evaluating sum_{n=1}^N(a+nd)^p again. Math. Gaz. 92 (2008), 92--94.
[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.
[39] Robin Chapman: Square sums of consecutive triangular numbers. Math. Gaz. 91 (2007), 77--81.
[38] Robin Chapman & William Hart: Evaluation of the Dedekind eta function. Can. Math. Bull. 49 (2006), 21--35. MR: 2007f:11042, Zbl.: 1104.11018.
[37] Robin Chapman: An infinite family of dual sequence identities. Integers 5(1) (2005), A31 (electronic), 8 pp. MR:2006g:11037.
[36] Robin Chapman: A probabilistic proof of the Andrews-Gordon identities. Discrete Math. 290 (2005), 79--84. MR: 2005i:11145, Zbl.: 1081.11066.
[35] Robin Chapman: Cubic identities for theta series in three variables. Ramanujan J. 8 (2004), 459--465. MR: 2005k:11090, Zbl.: 1118.11023.
[34] Robin Chapman: Determinants of Legendre symbol matrices. Acta Arith. 115 (2004), 231--244. MR: 2005f:11039, Zbl.: 1073.15006.
[33] Robin Chapman: Steinitz classes of unimodular lattices. European J. Combin. 25 (2004), 487--493. MR: 2005e:11088, Zbl.: 1073.05014.
[32] Roland Bacher & Robin Chapman: Symmetric Pascal matrices modulo p. European J. Combin. 25 (2004), 459--473. MR: 2005g:11034, Zbl.: 1055.15028.
[31] Robin Chapman: A curious identity, revisited. Math. Gaz. 87 (2003), 139--141.
[30] Robin Chapman: Partition identities arising from involutions. Australas. J. Combin. 27 (2003), 285--291. MR: 2003m:05013, Zbl.: 1019.05007.
[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.
[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.
[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.
[26] Robin Chapman: Combinatorial proofs of q-series identities. J. Combin. Theory Ser. A 99 (2002), 1--16. MR: 2003e:05009, Zbl.: 1013.05012.
[25] Robin Chapman: Conference matrices and unimodular lattices. European J. Combin. 22 (2001), 1033--1045. MR: 2002h:05028, Zbl.: 0993.05036.
[24] Robin Chapman: Coefficients of products of powers of eta functions. Ramanujan J. 5 (2001), 271--279. MR: 2002m:11034, Zbl.: 1011.11024.
[23] Robin Chapman: Alternating sign matrices and tournaments. Adv. Appl. Math. 27 (2001), 318--335. MR: 2002j:05074, Zbl.: 0990.05001.
[22] Robin Chapman: An involution on derangements. Discrete Math. 231 (2001), 121--122. MR: 2002a:05007, Zbl.: 0979.20001.
[21] Robin Chapman: Reciprocity laws for generalized higher dimensional Dedekind sums. Acta Arith. 93 (2000), 189--199. MR 2001g:11057, Zbl.: 0944.11013.
[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.
[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.
[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.
[17] Robin Chapman: On a septuple product identity. Sém. Lothar. Combin. 43 (1999), Art. B43c, 4 pp. (electronic). MR: 2001b:05017, Zbl.: 1007.11009.
[16] Robin Chapman: Moments of Dyck paths. Discrete Math. 204 (1999), 113--117. MR: 2000g:05011, Zbl.: 0932.05004.
[15] Robin Chapman: Higher power residue codes. Finite Fields Appl. 3 (1997), 353--369. MR: 98j:11117, Zbl.: 1053.94559.
[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.
[13] Robin Chapman & Patrick Solé: Universal codes and unimodular lattices. J. Théor. Nombres Bordeaux 8 (1996), 369--376. MR: 97k:94045, Zbl.: 0873.11028.
[12] Robin J. Chapman: A simple proof of Noether's theorem. Glasgow Math. J. 38 (1996), 49--51. MR: 97a:11186, Zbl.: 0848.11060
[11] Robin J. Chapman & Julie Haviland: The rotation index of a graph. Ars Combin. 42 (1996), 121--128. MR: 96m:05107, Zbl.: 0848.05037.
[10] Robin Chapman: A polynomial taking integer values. Math. Mag. 69 (1996), 121. Zbl.: 0903.11023.
[9] Robin J. Chapman: Automorphism polynomials in cyclic cubic extensions. J. Number Theory 61 (1996), 283--291. MR: 98a:12004, Zbl.: 0876.11048.
[8] Robin J. Chapman: Shrinking integer lattices. Discrete Math. 142 (1995), 39--48. MR: 96e:11088, Zbl.: 0831.11034.
[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.
[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.
[5] Robin J. Chapman & Julie Haviland: Generalized rotation numbers. J. Graph Theory 17 (1993), 291--301. MR: 94d:05067, Zbl.: 0792.05075.
[4] Robin J. Chapman: Shrinking integer lattices. II. J. Pure Appl. Algebra 78 (1992), 123--129. MR: 95c:11083, Zbl.: 0771.11025.
[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.
[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 ninety) in The American Mathematical Monthly. I also contribute to Mathematical Reviews.

Robin Chapman


rjc@maths.ex.ac.uk

28th July 2011

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