Andrew Fiori
Published 2018-10-22Version 1
In this paper we show there exists an infinite family of number fields $L$, Galois over $\mathbb{Q}$, for which the smallest prime $p$ of $\mathbb{Q}$ which splits completely in $L$ has size at least $( \log(|D_L|) )^{2+o(1)}$. This gives a converse to various upper bounds, which shows that they are best possible.
Lower bounds for moments of L-functions: symplectic and orthogonal examples
A note on entire $L$-functions
On the divisors of x^n-1 in F_p[x]
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