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Found 207 Documents (Results 1–100)

Algebraic properties of points of some infinite-dimensional metric spaces. (English. Russian original) Zbl 07798727

J. Math. Sci., New York 276, No. 3, 430-436 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 81-87 (2020).
MSC:  11J91 11J61
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Infinite algebraic independence of some almost polyadic numbers. (English. Russian original) Zbl 07798718

J. Math. Sci., New York 276, No. 3, 379-383 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 29-33 (2020).
MSC:  11J91 11J61
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Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters. (English. Russian original) Zbl 07735230

Dokl. Math. 107, No. 2, 109-111 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 29-32 (2023).
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Higher Ramanujan equations and periods of abelian varieties. (English) Zbl 07726588

Memoirs of the American Mathematical Society 1391. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6019-8/pbk; 978-1-4704-7324-2/ebook). xxv, 125 p. (2023).
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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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Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter. (English. Russian original) Zbl 1517.11078

Dokl. Math. 106, Part Suppl. 2, S150-S153 (2022); translation from Chebyshevskiĭ Sb. 22, No. 2(78), 304-312 (2021).
MSC:  11J61 11J72
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Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters. (English. Russian original) Zbl 1510.11126

Dokl. Math. 106, No. 2, 386-397 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 95-107 (2022).
MSC:  11J81 11J85 11J91
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New problems in the theory of transcendental polyadic numbers. (English. Russian original) Zbl 1503.11101

Dokl. Math. 106, No. 1, 265-267 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 63-65 (2022).
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Two recent \(p\)-adic approaches towards the (effective) Mordell conjecture. (English) Zbl 1489.14034

Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 31-74 (2021).
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Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter. (English. Russian original) Zbl 1491.11072

Dokl. Math. 102, No. 2, 412-413 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 68-70 (2020).
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