Pornrat Ruengrot

most citedPerfect Isometry Groups for Cyclic Groups of Prime Order

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math.NT2026

Integrality of Averages of Roots of Unity and Perfect Isometries

Chatchawan Panraksa, Pornrat Ruengrot

We establish a criterion for the integrality of averages of roots of unity and apply it to settle a conjecture regarding the linearity of functions on $Z_{n}$ . Specifically,…

math.NT2016

A Note on Average of Roots of Unity

Chatchawan Panraksa, Pornrat Ruengrot

We consider the problem of characterizing all functions $f$ defined on the set of integers modulo $n$ with the property that an average of some $n$ th roots of unity determined by $…