Chattopadhyay, Jaitra; Laxmi, H.; Saikia, Anupam Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields. (English) Zbl 07771752 Res. Number Theory 9, No. 4, Paper No. 74, 14 p. (2023). Reviewer: Henri Johnston (Exeter) MSC: 11R29 11R11 11R23 PDFBibTeX XMLCite \textit{J. Chattopadhyay} et al., Res. Number Theory 9, No. 4, Paper No. 74, 14 p. (2023; Zbl 07771752) Full Text: DOI arXiv
Laxmi, H; Saikia, Anupam Stability of 2-class groups in \(\mathbb{Z}_2\)-extension of certain real quadratic number fields. arXiv:2310.03543 Preprint, arXiv:2310.03543 [math.NT] (2023). MSC: 11R29 11R11 11R23 BibTeX Cite \textit{H Laxmi} and \textit{A. Saikia}, ``Stability of 2-class groups in $\mathbb{Z}_2$-extension of certain real quadratic number fields'', Preprint, arXiv:2310.03543 [math.NT] (2023) Full Text: arXiv OA License
Chattopadhyay, Jaitra; Saikia, Anupam Simultaneous indivisibility of class numbers of pairs of real quadratic fields. (English) Zbl 1502.11109 Ramanujan J. 58, No. 3, 905-911 (2022). Reviewer: James E. Carter (Charleston) MSC: 11R11 11R29 11R23 PDFBibTeX XMLCite \textit{J. Chattopadhyay} and \textit{A. Saikia}, Ramanujan J. 58, No. 3, 905--911 (2022; Zbl 1502.11109) Full Text: DOI arXiv
Saikia, Anupam On the Iwasawa \(\mu \)-invariants of supersingular elliptic curves. (English) Zbl 1477.11186 Acta Arith. 194, No. 2, 179-186 (2020). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{A. Saikia}, Acta Arith. 194, No. 2, 179--186 (2020; Zbl 1477.11186) Full Text: DOI
Coates, John (ed.); Raghuram, A. (ed.); Saikia, Anupam (ed.); Sujatha, R. (ed.) The Bloch-Kato conjecture for the Riemann zeta function. Proceedings of the workshop ’The Bloch-Kato conjecture for the Riemann zeta function at the odd positive integers’, Pune, India, July 1012. (English) Zbl 1321.11003 Cambridge: Cambridge University Press (ISBN 978-1-107-49296-7/pbk). ix, 305 p. (2015). MSC: 11-06 11G55 11M06 19E15 11R23 19F27 00B25 PDFBibTeX XMLCite \textit{J. Coates} (ed.) et al., The Bloch-Kato conjecture for the Riemann zeta function. Proceedings of the workshop 'The Bloch-Kato conjecture for the Riemann zeta function at the odd positive integers', Pune, India, July 1012. Cambridge: Cambridge University Press (2015; Zbl 1321.11003)
Barman, Rupam; Saikia, Anupam Iwasawa \(\lambda \)-invariants of \(p\)-adic measures on \(\mathbb Z^n_p\) and their \(\varGamma \)-transforms. (English) Zbl 1276.11195 J. Number Theory 132, No. 10, 2258-2266 (2012). MSC: 11S80 11R23 11F85 PDFBibTeX XMLCite \textit{R. Barman} and \textit{A. Saikia}, J. Number Theory 132, No. 10, 2258--2266 (2012; Zbl 1276.11195) Full Text: DOI
Barman, Rupam; Saikia, Anupam Iwasawa \(\lambda\)-invariants and \(\Gamma\)-transforms of \(p\)-adic measures on \(\mathbb Z^n_p\). (English) Zbl 1221.11133 Int. J. Number Theory 6, No. 8, 1819-1829 (2010). Reviewer: Yoshinori Yamasaki (Matsuyama) MSC: 11S80 11R23 PDFBibTeX XMLCite \textit{R. Barman} and \textit{A. Saikia}, Int. J. Number Theory 6, No. 8, 1819--1829 (2010; Zbl 1221.11133) Full Text: DOI
Barman, Rupam; Saikia, Anupam Coefficients of a \(p\)-adic measure on \(\mathbb Z^n_p\) and Iwasawa \(\lambda\)-invariant of its \(\Gamma \)-transform. (English) Zbl 1206.11072 Asian-Eur. J. Math. 3, No. 4, 545-554 (2010). MSC: 11S80 11R23 PDFBibTeX XMLCite \textit{R. Barman} and \textit{A. Saikia}, Asian-Eur. J. Math. 3, No. 4, 545--554 (2010; Zbl 1206.11072) Full Text: DOI
Coates, J. (ed.); Dalawat, C. S. (ed.); Saikia, A. (ed.); Sujatha, R. (ed.) Guwahati workshop on Iwasawa theory of totally real fields, Guwahati, India, September 22–30, 2008. Selected papers. (English) Zbl 1201.11002 Ramanujan Mathematical Society Lecture Notes Series 12. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-02-1/hbk). v, 140 p. (2010). MSC: 11-06 11Fxx 11R23 11R42 00B25 PDFBibTeX XMLCite \textit{J. Coates} (ed.) et al., Guwahati workshop on Iwasawa theory of totally real fields, Guwahati, India, September 22--30, 2008. Selected papers. Mysore: Ramanujan Mathematical Society (2010; Zbl 1201.11002)
Barman, Rupam; Saikia, Anupam A note on Iwasawa \(\mu\)-invariants of elliptic curves. (English) Zbl 1244.11060 Bull. Braz. Math. Soc. (N.S.) 41, No. 3, 399-407 (2010). Reviewer: Byoung Du Kim (Wellington) MSC: 11G05 11R23 PDFBibTeX XMLCite \textit{R. Barman} and \textit{A. Saikia}, Bull. Braz. Math. Soc. (N.S.) 41, No. 3, 399--407 (2010; Zbl 1244.11060) Full Text: DOI
Saikia, Anupam 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). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R18 11R23 11R27 PDFBibTeX XMLCite \textit{A. Saikia}, in: 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. 157--174 (2009; Zbl 1237.11046) Full Text: arXiv
Saikia, Anupam; Barman, Rupam Iwasawa \(\lambda\)-invariants and \(\Gamma\)-transforms. (English) Zbl 1241.11126 J. Ramanujan Math. Soc. 24, No. 2, 199-209 (2009). Reviewer: Yoshinori Yamasaki (Matsuyama) MSC: 11R23 11S80 PDFBibTeX XMLCite \textit{A. Saikia} and \textit{R. Barman}, J. Ramanujan Math. Soc. 24, No. 2, 199--209 (2009; Zbl 1241.11126)
Saikia, A. Selmer groups of elliptic curves with complex multiplication. (English) Zbl 1052.11073 Can. J. Math. 56, No. 1, 194-208 (2004). Reviewer: R. Sujatha (Bombay) MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{A. Saikia}, Can. J. Math. 56, No. 1, 194--208 (2004; Zbl 1052.11073) Full Text: DOI arXiv