Solutions to the 63rd William Lowell Putnam Mathematical Competition Saturday, December 7, 2002 Kiran Kedlaya and Lenny Ng A–1 By differentiating Pn (x) (xk − 1)n 1 , we find that Pn 1 (x) = (xk − 1)Pn0 (x) − (n - William Lowell Putnam Mathematical Competition - Document - PDFSEARCH.IO

First Page	Meta Content
	Solutions to the 63rd William Lowell Putnam Mathematical Competition Saturday, December 7, 2002 Kiran Kedlaya and Lenny Ng A–1 By differentiating Pn (x)/(xk − 1)n+1 , we find that Pn+1 (x) = (xk − 1)Pn0 (x) − (n Add to Reading List Document Date: 2014-01-16 17:23:03 Open Document File Size: 106,42 KB Share Result on Facebook Currency pence / / Person Paul Cheng / Kiran Kedlaya / Dan Bernstein / Lenny Ng / David Savitt / Ai / Walter Stromquist / Russ Mann / / Position first player / Player / second player / / SocialTag Number theory Algebra Matrix theory Factorial Determinant Summation Binomial coefficient Euler's totient function Mathematics Combinatorics

Solutions to the 63rd William Lowell Putnam Mathematical Competition Saturday, December 7, 2002 Kiran Kedlaya and Lenny Ng A–1 By differentiating Pn (x)/(xk − 1)n+1 , we find that Pn+1 (x) = (xk − 1)Pn0 (x) − (n Add to Reading List