Vol. 8, No. 1, 2019

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Author Index
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To the reader
1–2

Nikolay Moshchevitin and Andrei Raigorodskii

Sets of inhomogeneous linear forms can be not isotropically winning
3–13

Natalia Dyakova

Some remarks on the asymmetric sum-product phenomenon
15–41

Ilya D. Shkredov

Convex sequences may have thin additive bases
43–46

Imre Z. Ruzsa and Dmitrii Zhelezov

Admissible endpoints of gaps in the Lagrange spectrum
47–56

Dmitry Gayfulin

Transcendence of numbers related with Cahen's constant
57–69

Daniel Duverney, Takeshi Kurosawa and Iekata Shiokawa

Algebraic results for the values $\vartheta_3(m\tau)$ and $\vartheta_3(n\tau)$ of the Jacobi theta-constant
71–79

Carsten Elsner, Florian Luca and Yohei Tachiya

Linear independence of 1, $\mathrm{Li}_1$ and $\mathrm{Li}_2$
81–96

Georges Rhin and Carlo Viola