Gezer, BetülBizim, Osman2024-10-242024-10-242023-09-010208-6573https://doi.org/10.7169/facm/2038https://hdl.handle.net/11452/46996We consider the product sequences of the sequences (psi n(P)), (phi n(P)), and (omega n(P)) (n is an element of N) of values of the translated division polynomials of an elliptic curve E/K evaluated at a point P is an element of E(K)2. We prove that these sequences are purely periodic when K is a finite field. Then we use p-adic properties of these sequences to obtain p-adic convergence of product of the Somos 4 and Somos 5 sequences.eninfo:eu-repo/semantics/closedAccessElliptic netsPeriodicityElliptic curvesTranslated division polynomialsSomos sequencesMathematicsArticle001078217200003557569110.7169/facm/2038