Abstract
The essence of mathematics is proving theorems and so, that is what mathematicians do: They prove theorems. But to tell the truth, what they really want to prove, once in their lifetime, is a Lemma, like the one by Fatou in analysis, the Lemma of Gauss in number theory, or the BurnsideFrobenius Lemma in combinatorics.
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References
I. M. Gessel & G. Viennot: Binomial determinants, paths, and hook length formulae, Advances in Math. 58 (1985), 300–321.
B. Lindström: On the vector representation of induced matroids, Bulletin London Math. Soc. 5 (1973), 85–90.
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© 2004 Springer-Verlag Berlin Heidelberg
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Aigner, M., Ziegler, G.M. (2004). Lattice paths and determinants. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05412-3_25
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DOI: https://doi.org/10.1007/978-3-662-05412-3_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-05414-7
Online ISBN: 978-3-662-05412-3
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