Math/CS Home Page David Bressoud - Research Articles Three alternating sign matrix identities in search of bijective proofs. accepted for publication in Advances in Applied Mathematics. Available as Postscript file or as arXiv:math.CO/0007114 at xxx.lanl.gov Change of base in Bailey pairs, with M. Ismail and D. Stanton. The Ramanujan Journal. 4 (2000), no. 4, 435--453. Available as Tex or PostScript document. A Family of Partition Identities Proved Combinatorially, with Jose Plinio O. Santos and Paulo Mondek. The Ramanujan Journal, Vol: 4, 2000, Pages: 311--315 Available as TeX file. Elementary Proofs of Identities for Schur Functions and Plane Partitions, The Ramanujan Journal, Vol: 4, 2000, Pages: 69--80. Available as TeX file. An elementary proof of the MacMahon conjecture. J. Algebraic Combinatorics. 7:253-257. 1998.Available as TeX file. The Borwein conjecture and partitions with prescribed hook differences. pages 133-150 in The Foata Festschrift, Desarmenien, Kerber, Strehl, eds., Imprimerie Louis-Jean, Gap, 1996. Available as TeX file. The Borwein conjecture and partitions with prescribed hook differences. The Electronic Journal of Combinatorics. R4, vol. 3 (no. 2). 1996. Available as TeX file. with S.Y. Wei. Combinatorial equivalence of definitions of the Schur function. Grosswald Memorial Volume. American Math. Soc., Providence, R.I., 1993. with S.Y. Wei. Determinental formulae for complete symmetric functions. J. Combinatorial Theory, A. 1992. 60:277--286. Unimodality of Gaussian polynomials, Discrete Math. 99:17--24. 1992. On a cyclotomic unit and related products. J. Number Theory. 38:110--117 (1991). In the land of OZ, pp. 45--55 in q-Series and Partitions, IMA volume 18, D. Stanton, editor, Springer--Verlag, New York, 1989. On the proof of Andrews' q-Dyson conjecture, pp. 31--39 in Number Theory and Related Topics, Oxford University Press, 1989. Lattice paths and the Rogers--Ramanujan identities, pp. 140--172 in Number Theory, Madras 1987, Springer Lecture Notes in Mathematics # 1395. K. Alladi, editor, Springer--Verlag, New York, 1989. with Doron Zeilberger. Generalized Rogers--Ramanujan bijections. Adv. Math. 78:42--75 (1989). Almost poised basic hypergeometric series. {\it Proc. Indian Academy of Science}. 97:61--66 (1987). Some directions for multiple hypergeometric series. pp. 99--115 in Ramanujan International Symposium on Analysis, December 26--28, 1987, Pune, India. The Bailey lattice: an introduction, pp. 57--67 in Ramanujan Revisited. G. E. Andrews et al. eds., Academic Press, 1988. Problems on the Z-statistic. Discrete Math. 73:37--48 (1988/89). with A.K. Agarwal. Lattice paths and multiple basic hypergeometric series. Pacific J. Math. 135:209--228 (1989). with G.E. Andrews and A.K. Agarwal. The Bailey lattice. J. Indian Math. Soc. 51:57--73 (1987). Constant term identities. Proceedings of the Lotharingien Seminar, Burg Feuerstein, Germany, May 1986, IRMA, Strasbourg, France. with Ian Goulden. The generalized plasma in one dimension: Evaluation of a partition function. Communications in Mathematical Physics. 110:287--291 (1987). Comments on the proof of the q-Dyson theorem. Proceedings of the Lotharingien Seminar, Bologna, Italy, September 1985, IRMA, Strasbourg, France. Definite integral evaluation by enumeration, partial results on the Macdonald conjectures. pp. 48--57 in Combinatoire Enumerative, Springer Lecture Notes in Mathematics, # 1234, Springer--Verlag, New York, 1986. with G. Andrews, R. J. Baxter, W.J. Burge,. P.J. Forrester,, and G. Viennot. Partitions with prescribed hook differences. European J.of Combinatorics. 8:341--350 (1987). with Ian Goulden. Constant term identities extending the q-Dyson theorem. Transactions of the American Math. Soc. 291:203--228 (1985). Colored tournaments and Weyl's denominator formula. European J. of Combinatorics. 8:245--255 (1987). Hecke modular forms and q-Hermite polynomials. Illinois J. of Math. 30:185--196 (1986). with Doron Zeilberger. A proof of Andrews' q-Dyson conjecture. Discrete Math. 54:201--224 (1985). with George Andrews. On the Burge correspondence between partitions and binary words. Rocky Mountain J. 15:225--233 (1985). with Doron Zeilberger. Bijecting Euler's partition-recurrence. Amer. Math. Monthly. 92:54--55 (1985). with George Andrews. Identities in combinatorics III. Discrete Math. 49:223--236 (1984). with M.V. Subbarao. On Uchimura's connection between partitions and number of divisors. Canadian Math. Bull. 27:143--145 (1983). Variation on a partition theorem of Schur. Ars Combinatoria. 15:267--273. A matrix inverse. Proc. Amer. Math. Soc. 88:446--448 (1983). An easy proof of the Rogers--Ramanujan identities. J. Number Theory. 16:235--241 (1983). with Doron Zeilberger. A short Rogers--Ramanujan bijection. Discrete Math. 38:313--315 (1982). Theta function identities and orthogonal polynomials. pp 325-332 in Lecture Notes in Math. #899, Springer-Verlag, New York, 1981. The Rogers--Ramanujan identities. (solution to problem 74-12). SIAM Review. 23:101--104 (1981). Some identities for terminating q-series. Math. Proc. Cambridge Phil. Soc. 89:211-223 (1981). Linearization and related formulas for q-ultraspherical polynomials. SIAM J. Math. Anal. 12:161--168 (1981). An analytic generalization of the Rogers--Ramanujan identities with interpretation. Quart. J. Oxford. 31:385--399 (1981). On partitions, orthogonal polynomials and the expansion of certain infinite products. Proc. London Math. Soc. 42:478--500 (1981). On the value of Gaussian sums. J. Number Theory. 13:88--94 (1981). A note on gap-frequency partitions. Pacific J. Math. 89:1--6 (1980). A simple proof of Mehler's formula for $q$-Hermite polynomials. Indiana Math. J. 29:577--580 (1980). A combinatorial proof of Schur's 1926 partition theorem. Proc. Amer. Math. Soc. 79:338--340 (1980). Extension of the partition sieve. J. Number Theory. 12:87--100.Analytic and combinatorial generalizations of the Rogers--Ramanujan identities Analytic and combinatorial generalizations of the Rogers--Ramanujan identities. Memoir \# 227 of the American Math. Soc., 1980. with George Andrews. Vanishing coefficients in infinite product expansions. J. Australian Math. Soc. Series A 27:199--202 (1979). On a partition theorem of G\"{o}llnitz. J. fur die reine und ang. Mat. 305:215--217 (1979). A generalization of the Rogers--Ramanujan identities for all moduli. J. Comb. Theory. 27:64--68 (1979). Applications of Andrews' basic Lauricella transformation. Proc. Amer. Math. Soc. 72:89--94 (1978). A new family of partition identities. Pacific J. Math. 77:71--74 (1978). Some identities involving Rogers--Ramanujan-type functions. J. London Math Soc. 16(2):9--18 (1977).