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arXiv · 2512.14901

The spin of prime ideals and level-raising of even Galois representations

Marius Fischer·Peter Vang Uttenthal
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Abstract

By extending the notion of spin of prime ideals, we show that a short character sum conjecture implies that the set of primes raising the level of a certain even Galois representation has density 2/3, as conjectured by Ramakrishna in 1998.

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Marius Fischer, Peter Vang Uttenthal. 2025-12-16. The spin of prime ideals and level-raising of even Galois representations. https://arxiv.org/abs/2512.14901

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