Mohd Ali Khameini Ahmad

Solvability criteria for cubic equations over Z2

Solvability criteria for cubic equations over the p -adic field, where > 3, were studied in previous works. For small primes p = 2,3, this problem was open. In this paper, we study this problem in the case p = 2. The case p = 3 would be studied elsewhere in the future.

The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3)

In this paper, we study the dynamics of the Potts-Bethe mapping associated with the p-adic q-state Potts model over the Cayley tree of order three. Namely, we establish the regularity of the Potts-Bethe mapping for the case p = 2 (mod 3) with p > 5.