A bijective proof of Borchardt's identity.
Singer, Dan (2004)
The Electronic Journal of Combinatorics [electronic only]
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Singer, Dan (2004)
The Electronic Journal of Combinatorics [electronic only]
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J. Cassaigne, Pascal Hubert, Serge Troubetzkoy (2002)
Annales de l’institut Fourier
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We establish a relationship between the word complexity and the number of generalized diagonals for a polygonal billiard. We conclude that in the rational case the complexity function has cubic upper and lower bounds. In the tiling case the complexity has cubic asymptotic growth.
Schwartz, Richard Evan (2001)
Experimental Mathematics
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Zinn-Justin, Paul (2010)
The Electronic Journal of Combinatorics [electronic only]
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Philippe Di Francesco, Paul Zinn-Justin, Jean-Bernard Zuber (2005)
Annales de l’institut Fourier
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We present a number of determinant formulae for the number of tilings of various domains in relation with Alternating Sign Matrix and Fully Packed Loop enumeration.
Yoshishige Haraoka (1994)
Annales de l'institut Fourier
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We consider the monodromy group of the Pochhammer differential equation . Let be the reduce equation modulo a prime . Then we show that is finite if and only if has a full set of polynomial solutions for almost all primes .
Thiem, Nathaniel, Venkateswaran, Vidya (2009)
The Electronic Journal of Combinatorics [electronic only]
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Kitaev, Sergey (2006)
Journal of Integer Sequences [electronic only]
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