Reference : Topics on modular Galois representations modulo prime powers
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Physical, chemical, mathematical & earth Sciences : Mathematics
Topics on modular Galois representations modulo prime powers
Tsaknias, Panagiotis []
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
In press
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
Böckle, Gebhard
Decker, Wolfram
Malle, Gunter
[en] This article surveys modularity, level raising and level lowering questions for two-dimensional representations modulo prime powers of the absolute Galois group of the rational numbers. It contributes some new results and describes algorithms and a database of modular forms orbits and higher congruences.

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