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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
5
votes
Number of solutions mod p and Betti numbers
Apologies; my first reading of the question (which confused an $n$ for a $p$) assumed you were only given $\#X(\mathbf{F}_p)$ for $p$ in a certain range. If you are given (almost) all the $\#X(\mathbf …
2
votes
Accepted
Complex L-functions for Hermitian modular forms?
To define an "L-function" for an automorphic representation $\pi$ on a group $G$ you usually have to make a choice of a representation $\rho$ of the dual group. Only then can you define $L(\pi,\rho,s) …