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Found 218 Documents (Results 1–100)

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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)
Full Text: DOI MNR
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)
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Li, Bing

Sufficient dimension reduction: methods and applications with R. (English) Zbl 1408.62011

Monographs on Statistics and Applied Probability 161. Boca Raton, FL: CRC Press (ISBN 978-1-4987-0447-2/hbk; 978-1-4987-0448-9/ebook). xxi, 283 p. (2018).
Reviewer: Jonas Šiaulys (Vilnius)
MSC:  62-02 62-04 62G08 62H12 62H20 62Jxx
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\textit{B. Li}, Sufficient dimension reduction: methods and applications with R. Boca Raton, FL: CRC Press (2018; Zbl 1408.62011)
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Androsenko, V. A.; Salikhov, V. Kh.

Symmetrized version of the Markovecchio integral in the theory of Diophantine approximations. (English. Russian original) Zbl 1322.11081

Math. Notes 97, No. 4, 493-501 (2015); translation from Mat. Zametki 97, No. 4, 483-492 (2015).
Reviewer: Peter Bundschuh (Köln)
MSC:  11J82 11J72
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\textit{V. A. Androsenko} and \textit{V. Kh. Salikhov}, Math. Notes 97, No. 4, 493--501 (2015; Zbl 1322.11081); translation from Mat. Zametki 97, No. 4, 483--492 (2015)
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Waldschmidt, Michel

Recent advances in Diophantine approximation. (English) Zbl 1271.11070

Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 659-704 (2012).
Reviewer: Peter Bundschuh (Köln)
MSC:  11Jxx 11J04 11J13 11J82 11J83
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\textit{M. Waldschmidt}, in: Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer. 659--704 (2012; Zbl 1271.11070)
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Jouhet, Frédéric; Mosaki, Elie

Irrationality of positive odd integers of a \(q\)-analogue of the Riemann zeta-function. (Irrationalité aux entiers impairs positifs d’un \(q\)-analogue de la fonction zêta de Riemann.) (English) Zbl 1204.11110

Int. J. Number Theory 6, No. 5, 959-988 (2010).
Reviewer: Rolf Wallisser (Freiburg i. Br.)
MSC:  11J72 33D15 11M36 11J82
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\textit{F. Jouhet} and \textit{E. Mosaki}, Int. J. Number Theory 6, No. 5, 959--988 (2010; Zbl 1204.11110)
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Bundschuh, Peter; Zudilin, Wadim

Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series. (English) Zbl 1213.11146

Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 123-139 (2008).
Reviewer: Jaroslav Hančl (Ostrava)
MSC:  11J72 11J82 33D15
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\textit{P. Bundschuh} and \textit{W. Zudilin}, Dev. Math. 16, 123--139 (2008; Zbl 1213.11146)
Hirata-Kohno, Noriko; Huttner, Marc

Diophantine approximation of the values of hypergeometric function of Gauss. (English) Zbl 1147.11040

Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 106-110 (2008).
Reviewer: Michel Waldschmidt (Paris)
MSC:  11J82 11J91 11J72 33C05 33C75
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\textit{N. Hirata-Kohno} and \textit{M. Huttner}, AIP Conf. Proc. 976, 106--110 (2008; Zbl 1147.11040)
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Amano, Kenji; Tachiya, Yohei

Measure of irrationality for certain infinite series. (English) Zbl 1142.11050

Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 1-6 (2008).
Reviewer: Peter Bundschuh (Köln)
MSC:  11J72 11J82
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\textit{K. Amano} and \textit{Y. Tachiya}, AIP Conf. Proc. 976, 1--6 (2008; Zbl 1142.11050)
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Väänänen, K.; Zudilin, V. V.
[Zudilin, Wadim]

Linear independence of values of Tschakaloff series. (English. Russian original) Zbl 1173.11043

Russ. Math. Surv. 62, No. 1, 196-198 (2007); translation from Usp. Mat. Nauk 62, No. 1, 197-198 (2007).
Reviewer: Peter Bundschuh (Köln)
MSC:  11J72 11J82
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\textit{K. Väänänen} and \textit{V. V. Zudilin}, Russ. Math. Surv. 62, No. 1, 196--198 (2007; Zbl 1173.11043); translation from Usp. Mat. Nauk 62, No. 1, 197--198 (2007)
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Salikhov, V. Kh.

On the irrationality measure of \(\ln 3\). (English. Russian original) Zbl 1169.11032

Dokl. Math. 76, No. 3, 955-957 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 6, 753-755 (2007).
Reviewer: Tatiana Hessami Pilehrood (Shahrekord)
MSC:  11J82 11J86 11J20 11K60
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\textit{V. Kh. Salikhov}, Dokl. Math. 76, No. 3, 955--957 (2007; Zbl 1169.11032); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 6, 753--755 (2007)
Full Text: DOI
Wallisser, R.

A measure for the algebraic independence of \(e\) and \(e^{\sqrt{-d}}\), \(d\in\mathbb N\). (Ein Maßfür die algebraische Unabhängigkeit von \(e\) und \(e^{\sqrt{-d}}\), \(d\in\mathbb N\).) (German) Zbl 1214.11086

Schwarz, Wolfgang (ed.) et al., Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag (ISBN 3-515-08757-5/hbk). Schriften der Wissenschaftlichen Gesellschaft an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main 20, 288-296 (2006).
Reviewer: Alf van der Poorten (Killara)
MSC:  11J82 11J81 11J72
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\textit{R. Wallisser}, in: Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag. 288--296 (2006; Zbl 1214.11086)
Elsner, C.

On certain solutions of universal differential equations in algebraic points. (Über gewisse Lösungen universeller Differentialgleichungen in algebraischen Punkten.) (German. English summary) Zbl 1161.11023

Schwarz, Wolfgang (ed.) et al., Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag (ISBN 3-515-08757-5/hbk). Schriften der Wissenschaftlichen Gesellschaft an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main 20, 44-56 (2006).
Reviewer: Rolf Wallisser (Freiburg i. Br.)
MSC:  11J82 11J72 11J81 34A09
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\textit{C. Elsner}, in: Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag. 44--56 (2006; Zbl 1161.11023)

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