Unbounded stability of two-term recurrence sequences modulo $2^k$

Walter Carlip; Eliot Jacobson

Displaying similar documents to “Unbounded stability of two-term recurrence sequences modulo $2^{k}$ ”

On Shioda's problem about Jacobi sums II

Hiroo Miki (1995)

Acta Arithmetica

Similarity:

The period lengths of inversive congruential recursions

Wun-Seng Chou (1995)

Acta Arithmetica

Similarity:

Index for subgroups of the group of units in number fields

Tsutomu Shimada (1998)

Acta Arithmetica

Similarity:

We define a sequence of rational integers $u_{i} (E)$ for each finite index subgroup E of the group of units in some finite Galois number fields K in which prime p ramifies. For two subgroups E’ ⊂ E of finite index in the group of units of K we prove the formula $v_{p} ([E : E^{'}]) = \sum_{i = 1}^{r} u_{i} (E^{'}) - u_{i} (E)$ . This is a generalization of results of P. Dénes [3], [4] and F. Kurihara [5].