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large-wave-effect

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ilgrad / large-wave-effect

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Rigorous, reproducible study of the large-wave effect on discrete rings: the peak grows like (1/π)·ln N and saturates exactly for prime and power-of-two N — with an exact-arithmetic & formally-verified layer (GAP · PARI/GP · FriCAS · Rocq).

computer-algebra reproducible-research open-science gap formal-verification number-theory mathematical-physics lattice-dynamics pari-gp toeplitz-matrices cyclotomic-fields rocq spectral-theory large-wave-effect almost-periodic-functions discrete-schrodinger-equation
  • Updated Jun 22, 2026
  • Python

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