An attempt to prove an effective Siegel theorem--Part One

Abstract

We describe a plan how to prove an effective Siegel theorem (about the exceptional Dirichlet character). We give a brief outline in Section 0. We give a more detailed plan in Sections 1-5. The missing details (mostly routine elementary estimations) are in Part Two, which is very long. I am happy to send the pdf-file of Part Two to anybody who requests it by email.