Generalised Binomial coefficients and Jarden's Theorem

TL;DR

This paper presents a strengthened version of Jarden's Theorem, expanding its applicability to recurrence relations involving powers of recursive functions, thereby advancing the theoretical understanding of recursive sequences.

Contribution

It introduces a generalized form of Jarden's Theorem that applies to broader classes of recursive functions and their powers.

Findings

Proves a stronger version of Jarden's Theorem

Extends the theorem's applicability to recursive functions

Provides new insights into recurrence relations involving powers

Abstract

We prove a stronger version of Jarden's Theorem for recurrence of powers of recursive functions