Talk:Hasse–Weil zeta function

Arithmetic zeta function
Modulo finitely many terms in the Euler product, isn't the Hasse-Weil zeta function the same an Arithmetic zeta function? It seems like these articles should be merged or at least linked more clearly. 136.152.23.185 (talk) 17:31, 25 April 2012 (UTC)

Zeroes of the HW zeta function
Does L_p(s,e) have any zeroes? I can't find any references to them.

Darcourse (talk) 10:58, 5 December 2018 (UTC)

Definition
The scheme-theoretic discussion about reductions modulo p in the definition is not correct. There are no (canonical or otherwise) maps Spec Fp → Spec Q. Saying something correct here may take a moderate amount of rewriting. --Turgul2 (talk) 08:30, 22 July 2021 (UTC)