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Exact digit-by-digit algorithms for integer nth root extraction

Project description

digitbydigit-roots

Exact digit-by-digit algorithms for integer nth root extraction, perfect power detection, and fractional refinement with error bounds.

Features

  • Exact integer nth roots (no floating point)
  • Perfect power detection
  • Fractional roots with explicit error bounds
  • Constructive, invariant-based algorithms

Installation

pip install digitbydigit-roots

## Reference

S. Pareth, *Exact Constructive Digit-by-Digit Algorithms for Integer e-th Root Extraction*,
arXiv:2601.02703 (2026).

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