Dimitris Vartziotis

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math.GM2026

Rigorous Geometric Obstructions for Fourier Curves Generated by Prime Numbers

Dimitris Vartziotis

We study planar curves defined by finite Fourier series of the form $F_{n} (t) = \sum_{p \leq n} v_{p} (n!) e^{i pt}$ , where the frequencies are the prime numbers and $v_{p} (n!)$ denotes th…

math.GM2026

Spectral Geometry of Fourier Curves with Prime Frequencies: A Comparative Experimental Study

Dimitris Vartziotis

We present a comparative experimental study of planar curves arising from a Fourier series whose frequencies are the prime numbers, together with several randomized control models.…

math.GM2026

Fourier Series Generated by Additive Prime Factor Functions

Dimitris Vartziotis

We introduce a rigorous arithmetic--spectral construction associating planar geometric objects with additive prime factor statistics. Let $sopfr (n)$ denote the sum of prim…