Salikhov, Vladislav K.; Bashmakova, Mariya G. On rational approximations for some values of \(\arctan(s/ r)\) for natural \(s\) and \(r\), \(s < r\). (English) Zbl 1501.11077 Mosc. J. Comb. Number Theory 11, No. 2, 181-188 (2022). Reviewer: Jan Šustek (Ostrava) MSC: 11J82 PDFBibTeX XMLCite \textit{V. K. Salikhov} and \textit{M. G. Bashmakova}, Mosc. J. Comb. Number Theory 11, No. 2, 181--188 (2022; Zbl 1501.11077) Full Text: DOI
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 PDFBibTeX XMLCite \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) Full Text: DOI
Bashmakova, Mariya Gennad’evna; Salikhov, Vladislav Khasanovich On irrationality measure \(\operatorname{arctg} \frac{1}{2}\). (Russian. English summary) Zbl 1455.11102 Chebyshevskiĭ Sb. 20, No. 4(72), 58-68 (2019). MSC: 11J82 PDFBibTeX XMLCite \textit{M. G. Bashmakova} and \textit{V. K. Salikhov}, Chebyshevskiĭ Sb. 20, No. 4(72), 58--68 (2019; Zbl 1455.11102) Full Text: MNR
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 PDFBibTeX XMLCite \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) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. G. Bashmakova} and \textit{E. S. Zolotukhina}, Chebyshevskiĭ Sb. 19, No. 2(66), 15--29 (2018; Zbl 1439.11170) Full Text: DOI MNR
Bashmakova, M. G.; Zolotukhina, E. S. On irrationality measure of the numbers \(\sqrt{d}\ln{\frac{\sqrt{d}+1}{\sqrt{d}-1}}\). (Russian. English summary) Zbl 1432.11090 Chebyshevskiĭ Sb. 18, No. 1(61), 29-43 (2017). MSC: 11J82 PDFBibTeX XMLCite \textit{M. G. Bashmakova} and \textit{E. S. Zolotukhina}, Chebyshevskiĭ Sb. 18, No. 1(61), 29--43 (2017; Zbl 1432.11090) Full Text: MNR
Bashmakova, Mariya G. Estimates for the exponent of irrationality for certain values of hypergeometric functions. (English) Zbl 1283.11106 Mosc. J. Comb. Number Theory 1, No. 1, 67-78 (2011). MSC: 11J82 11J91 PDFBibTeX XMLCite \textit{M. G. Bashmakova}, Mosc. J. Comb. Number Theory 1, No. 1, 67--78 (2011; Zbl 1283.11106) Full Text: Link