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math.NT2025
Power residue symbols and the exponential local-global principle
Henry Robert Thackeray
The exponential local-global principle, or Skolem conjecture, says: Suppose that \(b\) is a positive integer, and that the sequence \((u_{n})_{n = -\infty}^{\infty}\) is such that…
math.NT2023
Each friend of 10 has at least 10 nonidentical prime factors
Henry Robert Thackeray
For each positive integer n, if the sum of the factors of n is divided by n, then the result is called the abundancy index of n. If the abundancy index of some positive integer m e…