Prime divisors of q-binomial coefficients
Howard, F. T.
Rendiconti del Seminario Matematico della Università di Padova, Tome 48 (1972), p. 181-188 / Harvested from Numdam
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Publié le : 1972-01-01
@article{RSMUP_1972__48__181_0,
     author = {Howard, F. T.},
     title = {Prime divisors of $q$-binomial coefficients},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {48},
     year = {1972},
     pages = {181-188},
     mrnumber = {337743},
     zbl = {0274.10005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1972__48__181_0}
}

Howard, F. T. Prime divisors of $q$-binomial coefficients. Rendiconti del Seminario Matematico della Università di Padova, Tome 48 (1972) pp. 181-188. http://gdmltest.u-ga.fr/item/RSMUP_1972__48__181_0/

[1] Carlitz, L.: The number of binomial coefficients divisible by a fixed power of a prime, Rend. Circ. Mat. Palermo, vol. 16 (1967), pp. 299-320. | MR 249308 | Zbl 0177.06701

[2] Fray, Robert D.: Congruence properties of ordinary and q-binomial coefficients, Duke Math. Journal, vol. 34 (1967), pp. 467-480. | MR 213287 | Zbl 0155.08303

[3] Howard, F.T.: Formulas for the number of binomial coefficients divisible by a fixed power of a prime, to be published. | Zbl 0261.05008

[4] Howard, F.T.: The number of binomial coefficients divisible by a fixed power of 2, Proc. Amer. Math. Soc., vol. 29 (1971), pp. 236-242. | MR 302459 | Zbl 0221.05016

[5] Simmons, G.J.: Some results concerning the occurrence of specified prime factors in (mr), Amer. Math. Monthly, vol. 77 (1970), pp. 510-511. | MR 269581 | Zbl 0208.05302