Abstract
AbstractWe define ap-adic character to be a continuous homomorphism fromForp> 2, we use the ring of big Witt vectors overto exhibit a bijection betweenp-adic characters and sequences (ci)(i,p)=1of elements inindexed by natural numbers relatively prime top, and for which. To such ap-adic character we associate anL-function, and we prove that thisL-function isp-adic meromorphic if the corresponding sequence (ci) is overconvergent. If more generally the sequence isClog-convergent, we show that the associatedL-function is meromorphic in the open disk of radiusqC. Finally, we exhibit examples ofClog-convergent sequences with associatedL-functions which are not meromorphic in the disk of radiusqC+∊for any∊> 0.
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.
