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- W1656227185 abstract "We show that if two continuous semi-simple `-adic Galois representa- tions are locally potentially equivalent at a sufficiently large set of places then they are globaly potentially equivalent. We also prove an analogous result for arbitrarily varying powers of character values evaluated at the Frobenius conjugacy classes. In the context of modular forms, we prove: given two non-CM newforms f and g of weight at least two, such that ap(f) n p = ap(g) n p on a set of primes of positive upper density and for some set of natural numbers np, then f and g are twists of each other by a Dirichlet character." @default.
- W1656227185 created "2016-06-24" @default.
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- W1656227185 date "2010-10-26" @default.
- W1656227185 modified "2023-09-27" @default.
- W1656227185 title "Locally potentially equivalent galois representations" @default.
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