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Conditional estimates for ▫$L$▫-functions in the Selberg class
Neea Palojärvi, Aleksander Simonič, 2026, izvirni znanstveni članek

Opis: We provide an explicit ▫$O\left(\log^{2}{T}\right)$▫-term of the celebrated Atkinson's formula for the error term of the second power moment of the Riemann zeta-function on the critical line. As an application, we obtain an explicit version of well-known estimate ▫$E(T)\ll_{\varepsilon}T^{\frac{1}{3}+\varepsilon}$▫.
Ključne besede: Selberg class, Generalized Riemann hypothesis, Bandlimited functions
Objavljeno v RUP: 13.02.2026; Ogledov: 638; Prenosov: 2
Celotno besedilo (2,13 MB)
Gradivo ima več datotek! Več...

Platonic configurations of points and lines
Jurij Kovič, Aleksander Simonič, 2026, izvirni znanstveni članek

Opis: We present some methods for constructing connected spatial geometric configurations (p_q, n_k) of points and lines, preserved by the same isometries of Euclidean space E³ as the predetermined Platonic solid. In this paper, we are mainly interested in configurations (n₃), (n₄), and (n₅), but also in unbalanced configurations (p₃, n₄), (p₃, n₅), and (p₄, n₅).
Ključne besede: configuration of points and lines, symmetry group, Platonic solid, centrally symmetric solid, projection from a point
Objavljeno v RUP: 22.12.2025; Ogledov: 473; Prenosov: 1
Celotno besedilo (533,56 KB)

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