Shaofang Hong

collaborators

2 papers

math.NT2009★ 2 cited

Nair's and Farhi's identities involving the least common multiple of binomial coefficients are equivalent

Shaofang Hong

In 1982, Nair proved the identity: $lcm ((1 k), 2 (2 k), > ..., k (k k)) = lcm (1, 2, ..., k), \forall k \in N .$ Recently, Farhi proved a new…

math.NT2008

Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions

Shaofang Hong, Scott D. Kominers

For relatively prime positive integers u_0 and r, we consider the arithmetic progression {u_k := u_0+k*r} (0 <= k <= n). Define L_n := lcm{u_0,u_1,...,u_n} and let a >= 2 be any in…