arXiv Open Access 2026

On the (Fourier analytic) Sidon constant of {0,1,2,3}

Stefan Neuwirth
Lihat Sumber

Abstrak

This constant is the maximum of the sum $|c_0|+|c_1|+|c_2|+|c_3|$ of the moduli of the coefficients of a trigonometric polynomial $c_0+c_1e^{it}+c_2e^{2it}+c_3e^{3it}$ bounded by 1. Its value is still unknown, but I will present some ideas on how to compute it and describe a distinguished torus of extremal functions.

Topik & Kata Kunci

Penulis (1)

S

Stefan Neuwirth

Format Sitasi

Neuwirth, S. (2026). On the (Fourier analytic) Sidon constant of {0,1,2,3}. https://arxiv.org/abs/2603.28229

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2026
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓