Last Update: Jan. 11, 1995 File README of Doron Zeilberger's directory pub/zeilberg/papers in the ftp site ftp.math.temple.edu This directory contains my papers that were written in 1993 or later (after I finally converted from troff to TeX). It contains subdirectories: papersTeX : for the source TeX files papersDVI: for your previewing pleasure papersPS: for the .ps file (One you download paper.ps all you have to do is `lpr paper.ps') Currently papers/papersTeX contains the following papers: (With the .dvi and .ps in papers/papersDVI and papers/papersPS respectively) asm.tex: `Proof of the Alternating Sign Matrix Conjecture': My ever-changing magnum opus, assisted by a legion of dedicated checkers. Here you can always find the most recent version. This is a 95-page Opus, but the individual acts are obtainable in pub/zeilberg/asm. (To be submitted elsewhere) [Also check out the exciting companion ROBBINS: A Maple package to verify all the facts stated in the paper. It can be found both in pub/zeilberg/programs and pub/zeilberg/asm] bieb.tex: `a High-School ... Bieberbach Conj. [after L. Weinstein]' (Appeared in Contemporary Math, v. xxx `Jerusalem -Combinatorics', edited by Helene Barcelo and Gil Kalai) bombieri.tex: `Chu's 1303 Identity implies Bombieri's 1990 Inequality [via an identity of Beauzamay and Degot]': (Appeared in the Amer. Math. Monthly, Nov. 1994 issue, v.101, 894-896) capelli.tex: `Combinatorial Proofs of Capelli's and Turnbull's identities from Classical Inviariant Theory' (Appeared in: Electronic J. of Combinatorics, c.1, Res. Paper 1) catalan.tex: `Catalan Strikes Again (and Again)*', A four-page paper that is EXCLUSIVELY for this Electronic Repository. Not to appear elsewhere (at least not during my life time). Check out the Maple appendix in the sister directory programs, file `catalan'. cayley.tex: A paper on Cayley's formula (Withdrawn, since this proof is due to Gobel (sic, not Godel) dinitz.tex: `The method of undetermined generalization and specialization Illustrated with Fred Galvin's amazing proof of the Dinitz conjecture' (To be submitted) dirichlet.ps:`A Computer Algebra approach to the discrete Dirichlet problem' (Appeared in J. Symb. Computation xx, xxx-xxx) (With Craig Orr) gillis.tex: `How Joe Gillis Started Combinatorial Special Function Theory' (To appear in Math. Intell.) hexagon.tex:`An even shoter proof of Pascal's Hexagon Theorem' by Rene Desartes and Shalosh B. Ekhad (Rejected by the Amer. Math. Monthly, but who cares? (certainly not Rene), since being HERE constitutes a publication. kirk.tex:`A comparison of two method for random labelling of balls by vectors of integers' (A paper that arose from a problem in real life. Until further notice it is not going to be submitted, and probably never will be, since , as I said above, being HERE, is a bona-fida publication) loth.tex: `Three recitations on Holonomic Fucntions and Hypergeometric series' (Appeared in the Proc. of 24th Seiminaire Lotharingien, to be reprinted in the special issue of JSC dedicated to the proceedings of the Fall 1993 Cornell workshop, Peter Paule and Voler Strehl, guest editors) priced.tex:`Theorems for a Price: Tomorrow's semi-rigorous mathematical culture' (Appeared in the Oct. 1993 issue of the Notices of the AMS, also reprinted in the Fall 1994 issue of Math. Intell., followed by a defense of rigorous math by, who else, George Andrews. publications.tex: `My list of publications' pyt.tex: `Two EZ proofs of sin^2 z+ cos^2 z =1' (with Leon Ehrenpreis) (Appeared as a `filler' in the Amer. Math. Monthly 101(1994) (Aug.-Sept. issue) p. 691) saw.tex:`Self-Avoiding Walks, the language of science, and Fibonacci numbers' (To appear in `J. of Stat. Planning and Inference', special issue for Lattice Paths Combinatorics (Proceedings of the Jan. 1994 meeting in India, Sri Monanty, Ed.) sum4sq.tex: `A Short Proof of Jacobi's Formula for the number of representations of an integer as a sum of four squares' (With George Andrews and Shalosh B. Ekhad, appeared in the Amer. Math. Monthly 100(1993) 274-276) wavelet.tex: `On an identity of Daubechies', appeared in the Amer. Math. Monthly 100(1993), p. 387.