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arXiv · 0908.1752

Deformations of Galois Representations and the Theorems of Sato-Tate, Lang-Trotter and others

Aftab Pande
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Abstract

We construct infinitely ramified Galois representations $\rho$ such that the $a_l (\rho)$'s have distributions in contrast to the statements of Sato-Tate, Lang-Trotter and others. Using similar methods we deform a residual Galois representation for number fields and obtain an infinitely ramified representation with very large image, generalising a result of Ramakrishna.

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Aftab Pande. 2009-08-12. Deformations of Galois Representations and the Theorems of Sato-Tate, Lang-Trotter and others. https://arxiv.org/abs/0908.1752

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