Abstract
In the first chapter, we gave an introductory sketch of a proof of nonvanishing modulo p of Dirichlet L-values. Since we have described basics of elliptic curves in an elementary manner in Chap.2, at least we could illustrate our main objectives in this book with a rough outline of their proofs. Detailed proofs (for some of them) will be given after we become equipped with a scheme-theoretic description of elliptic curves and their moduli as the simplest example of Shimura varieties in the following chapters. For some others, we give full proofs here, possibly assuming simplifying assumptions (and we refer to quoted research articles about the author’s proofs in more general cases).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
