However, his more famous results are analytic, where he showed that any bounded complex function that is differentiable in the whole complex plane must be constant.  
Between 1842 and 1846, he helped publicize Galois' as yet unrecognized works, by publishing them in a journal he founded.  Most of his own work was in number theory, where he worked on quadratic reciprocity.  The arithmetic function that bears his name is negative 1 at "n" if "n" is the product of an odd number of primes, and 1 otherwise.  However, his more famous results are analytic, where he showed that any bounded complex function that is differentiable in the whole complex plane must be constant.  FTP, name this French mathematician whose work on continued fractions led to the first proofs that certain numbers are transcendental.
Between 1842 and 1846, he helped publicize Galois' as yet unrecognized works, by publishing them in a journal he founded.  
Joseph Liouville