On the linear independence of -adic -functions modulo
Bruno Anglès, Gabriele Ranieri (2010)
Annales de l’institut Fourier
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Let be a prime. Let such that , let be characters of conductor not divided by and let be the Teichmüller character. For all between and , for all between and , set Let and let be a prime of the valuation ring of . For all let be the Iwasawa series associated to and its reduction modulo . Finally let be an algebraic closure of . Our main result is that if the characters are all distinct modulo , then and the series...