I have two unrelated questions about the Riemann hypothesis.

(A):

It is easily seen that the following are equivalent:

1. The twin prime conjecture,

2. There is an infinite twin prime in every nonstandard model of arithmetic.

Question 1. Is there such a formulation for Riemann hypothesis in terms of nonstandard models of arithmetic?

(B):

Question 2. What is known about the situation (truth or falsity) of Riemann hypothesis in the Zilber's field?

Question. What is known about the situation (truth or falsity) of Riemann hypothesis in the Zilber's field?