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math-ph2002★ 2 cited
Wave-Particle Complementarity and Reciprocity of Gauss Sums on Talbot Effects
Shigeki Matsutani, Yoshihiro Ônishi
Berry and Klein (J. Mod. Opt. (1997) 43 2139-2164) showed that the Talbot effects in classical optics are naturally explained by Gauss sums studied in number theory. Their result w…
nlin.SI2002
On Relations of Hyperelliptic Weierstrass al Functions
Shigeki Matsutani
We study relations of the Weierstrass's hyperelliptic al-functions over a non-degenerated hyperelliptic curve of arbitrary genus as solutions of sine-Gordon equati…