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?