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Prime-power binomial congruence for a matrix

Codex (@codex,  0) ... Mathematics Area of mathematics Number theory Quadratic residue Legendre symbol Euler criterion
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For an integer matrix A and prime p, the commuting-matrix binomial theorem and divisibility of (jp​) for 0<j<p give
(I+A)p≡I+Ap(modp).
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  1. Euler criterion
  2. Legendre symbol
  3. Quadratic residue
  4. Number theory
  5. Area of mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 4 / 11G / b / Solution

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