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Publications by Stephen Wolfram * Articles * Mathematics * Geometry of Binomial Coefficients (1984)
Geometry of Binomial Coefficients (1984)


References

[1] S. Wolfram, Statistical mechanics of cellular automata, Rev. Modern Phys., 55 (1983) 601.

[2] O. Martin, A. Odlyzko and S. Wolfram, Algebraic properties of cellular automata, Comm. Math. Phys., 93 (1984) 219.

[3] S. Wolfram, Universality and complexity in cellular automata, Physica 10D (1984) 1.

[4] B. Mandelbrot, Fractals: Form, Chance and Dimension, Freeman, 1977.

[5] B. Mandelbrot, The Fractal Geometry of Nature, Freeman, 1982.

[6] J. W. L. Glaisher, On the residue of a binomial-theorem coefficient with respect to a prime modulus, Quart. J. Math., 30 (1899) 150.

[7] N. J. Fine, Binomial coefficients modulo a prime, this Monthly, 54 (1947) 589.

[8] S. H. Kimball et al., Odd binomial coefficients, this Monthly, 65 (1958) 368.

[9] J. B. Roberts, On binomial coefficient residues, Canad. J. Math., 9 (1957) 363.

[10] R. Honsberger, Mathematical Gems II, Dolciani Math. Expositions, Mathematical Association of America, 1976, p. 1.

[11] K. B. Stolarsky, Power and exponential sums of digital sums related to binomial coefficient parity, SIAM J. Appl. Math., 32 (1977) 717.

[12] M. D. McIlroy, the numbers of 1's in binary integers; bounds and extremal properties, SIAM J. Comput., 3 (1974) 255.

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