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Found 503 Documents (Results 1–100)

On the problem of describing elements of elliptic fields with a periodic expansion into a continued fraction over quadratic fields. (English. Russian original) Zbl 1503.11102

Dokl. Math. 106, No. 1, 259-264 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 56-62 (2022).
MSC:  11J70 11R58 11R27
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The charm of units. I: On the Kummer-Vandiver conjecture. Extended abstract. (English) Zbl 1458.11155

Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 73-87 (2020).
MSC:  11R27 11R23 11R70
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Local and global universal norms in the cyclotomic \( {\mathbb Z}_\ell\)-extension of an algebraic number field. (English. Russian original) Zbl 1439.11277

Izv. Math. 82, No. 3, 532-548 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 3, 90-107 (2018).
MSC:  11R18 11R23 11R27
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Group ring groups. Volume 2: Structure theorems of unit groups. (English) Zbl 1338.16002

De Gruyter Textbook. Berlin: De Gruyter (ISBN 978-3-11-041149-2/pbk; 978-3-11-041150-8/ebook). x, 217 p. (2016).
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Group ring groups. Volume 1: Orders and generic constructions of units. (English) Zbl 1338.16001

De Gruyter Textbook. Berlin: De Gruyter (ISBN 978-3-11-037278-6/pbk; 978-3-11-037294-6/ebook). xii, 447 p. (2016).
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On a new type of \(\ell\)-adic regulator for algebraic number fields (the \(\ell\)-adic regulator without logarithms). (English. Russian original) Zbl 1325.11115

Izv. Math. 79, No. 1, 109-144 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 1, 115-152 (2015).
Reviewer: Wei Feng (Beijing)
MSC:  11R23 11R18
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Vandiver papers on cyclotomy revisited and Fermat’s last theorem. (English) Zbl 1309.11028

Algèbre et théorie des nombres 2012/2. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2012/2, 47-111 (2012).
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Mahler measure of the Horie unit and Weber’s class number problem in the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q\). (English) Zbl 1201.11104

Komatsu, Takao (ed.), Diophantine analysis and related fields 2010. DARF–2010. Proceedings of the conference, Musashino, Tokyo, Japan, March 4–5, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0815-9). AIP Conference Proceedings 1264, 52-61 (2010).
MSC:  11R29 11Y40 11R06
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On units generated by Euler systems. (English) Zbl 1237.11046

Adhikari, Sukumar Das (ed.) et al., Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-97-5/hbk). 157-174 (2009).
MSC:  11R18 11R23 11R27
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Some remarks on the \( \ell\)-adic regulator. V: Growth of the \( \ell\)-adic regulator in the cyclotomic \(\mathbb Z_\ell\)-extension of an algebraic number field. (English. Russian original) Zbl 1248.11084

Izv. Math. 73, No. 5, 959-1021 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 5, 105-170 (2009).
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