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German, Oleg N.; Moshchevitin, Nikolay G.

On the transference principle and Nesterenko’s linear independence criterion. (English. Russian original) Zbl 07739845

Izv. Math. 87, No. 2, 252-264 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 2, 56-68 (2023).
MSC:  11H06 11J82
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\textit{O. N. German} and \textit{N. G. Moshchevitin}, Izv. Math. 87, No. 2, 252--264 (2023; Zbl 07739845); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 2, 56--68 (2023)
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Chirskii, V. G.

Infinite linear independence with constraints on a subset of prime numbers for values of Euler-type series with polyadic Liouville parameter. (English. Russian original) Zbl 1517.11079

Dokl. Math. 106, Part Suppl. 2, S154-S160 (2022); translation from Chebyshevskiĭ Sb. 23, No. 1(82), 153-166 (2022).
MSC:  11J61 11J82
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\textit{V. G. Chirskii}, Dokl. Math. 106, Part Suppl. 2, S154--S160 (2022; Zbl 1517.11079); translation from Chebyshevskiĭ Sb. 23, No. 1(82), 153--166 (2022)
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Chirskiĭ, Vladimir Grigor’evich

Infinite linear independence with constraints on a subset of prime numbers of values of Eulerian-type series with polyadic Liouville parameter. (Russian. English summary) Zbl 1517.11081

Chebyshevskiĭ Sb. 23, No. 1(82), 153-166 (2022); translation in Dokl. Math. 106, Suppl. 2, S154-S160 (2022).
MSC:  11J61 11J82
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\textit{V. G. Chirskiĭ}, Chebyshevskiĭ Sb. 23, No. 1(82), 153--166 (2022; Zbl 1517.11081); translation in Dokl. Math. 106, Suppl. 2, S154--S160 (2022)
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Sondow, Jonathan

Irrationality and transcendence of alternating series via continued fractions. (English) Zbl 1508.11077

Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 489-508 (2021).
Reviewer: Jaroslav Hančl (Ostrava)
MSC:  11J81 11J72 11J70 11J82
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\textit{J. Sondow}, Springer Proc. Math. Stat. 373, 489--508 (2021; Zbl 1508.11077)
Full Text: DOI arXiv
Salikhov, V. Kh.; Bashmakova, M. G.

On irrationality measure of some values of \(\arctan \frac{1}{n} \). (English. Russian original) Zbl 1476.11102

Russ. Math. 64, No. 12, 29-37 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 12, 32-40 (2020).
Reviewer: Jaroslav Hančl (Ostrava)
MSC:  11J82
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\textit{V. Kh. Salikhov} and \textit{M. G. Bashmakova}, Russ. Math. 64, No. 12, 29--37 (2020; Zbl 1476.11102); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 12, 32--40 (2020)
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Salikhov, V. Kh.; Bashmakova, M. G.

On irrationality measure of \(\arctan \frac{1}{3} \). (English. Russian original) Zbl 1467.11067

Russ. Math. 63, No. 1, 61-66 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 69-75 (2019).
Reviewer: Jaroslav Hančl (Ostrava)
MSC:  11J82
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\textit{V. Kh. Salikhov} and \textit{M. G. Bashmakova}, Russ. Math. 63, No. 1, 61--66 (2019; Zbl 1467.11067); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 69--75 (2019)
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Bashmakova, Mariya Gennad’evna; Zolotukhina, Ekaterina Sergeevna

On estimate of irrationality measure of the numbers \(\sqrt{4k+3}\ln{\frac{\sqrt{4k+3}+1}{\sqrt{4k+3}-1}}\) and \(\frac{1}{\sqrt{k}}\operatorname{arctg}\frac{1}{\sqrt{k}}\). (Russian. English summary) Zbl 1439.11170

Chebyshevskiĭ Sb. 19, No. 2(66), 15-29 (2018).
MSC:  11J82
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\textit{M. G. Bashmakova} and \textit{E. S. Zolotukhina}, Chebyshevskiĭ Sb. 19, No. 2(66), 15--29 (2018; Zbl 1439.11170)
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