On \(k\)-th power in \(U_n(P,Q,R)\). (Chinese. English summary) Zbl 1349.11035
Summary: Let \(P, Q, R\) be integers, a new sequence \(U_n(P, Q, R)\) is defined. By using the elementary method, the values of parameters when \(U_n(P, Q, R)\) is not the \(k\)-th power are studied and a general term formula for \(U_n(P, Q, R)\) is obtained.
MSC:
| 11B57 | Farey sequences; the sequences \(1^k, 2^k, \dots\) |
| 11A07 | Congruences; primitive roots; residue systems |
