Schneider, P. Rigid-analytic L-transforms. (English) Zbl 0572.14014 Number theory, Proc. Journ. arith., Noordwijkerhout/Neth. 1983, Lect. Notes Math. 1068, 216-230 (1984). [For the entire collection see Zbl 0535.00008.] The author presents a new method of defining p-adic L-functions for a certain class of elliptic curves. In the first section, he reviews the general philosophy of complex and p-adic L-functions, and then he explains the idea of the method which is based on the notion of a rigid- analytic automorphic form. The construction of a p-adic L-function associated to such an automorphic form is carried out in the second section. Reviewer: W.Lütkebohmert Cited in 4 ReviewsCited in 9 Documents MSC: 14G20 Local ground fields in algebraic geometry 14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Keywords:p-adic L-functions; elliptic curves; rigid-analytic automorphic form Citations:Zbl 0535.00008 PDFBibTeX XML