In his beautiful monograph, Mark Kac gave a proof of Vieta's formula using the Rademacher functions and their independence property. In the first chapter of his book, he gave as an exercise to state and prove a generalization of Vieta's formula. In this paper we give a proof based on Kac's proof for Vieta's formula, and to the best of our knowledge, this generalization has only been achieved by Kent E. Morrison using the Fourier transform and delta distributions.

Author Bio

I have written the article ''Generalization of Vieta's Formula'' as part of my undergraduate student project at Sultan Qaboos University in Oman which I completed in Fall 2005.