This is an announcement for the paper "On the uniform convexity of L^p" by Harald Hanche-Olsen. Abstract: We present a short, direct proof of the uniform convexity of L^p spaces for 1<p<\infty. Archive classification: Functional Analysis Mathematics Subject Classification: 46E30 The source file(s), uc2.tex: 7706 bytes, is(are) stored in gzipped form as 0502021.gz with size 3kb. The corresponding postcript file has gzipped size 26kb. Submitted from: hanche@math.ntnu.no The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0502021 or http://arXiv.org/abs/math.FA/0502021 or by email in unzipped form by transmitting an empty message with subject line uget 0502021 or in gzipped form by using subject line get 0502021 to: math@arXiv.org.