Anupam Saikia

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stability of 2-class groups in the $\mathbb{Z}_2$-extension of certain real biquadratic fields	2025	H Laxmi Anupam Saikia
+	$$\mathbb {Z}_2$$-extension of real quadratic fields with $$\mathbb {Z}/2\mathbb {Z}$$ as 2-class group at each layer	2024	H. Laxmi Anupam Saikia
+ PDF Chat	Unramified Iwasawa module of $\mathbb{Z}_2$-extension of certain quadratic fields with a bounded quotient	2024	H Laxmi Anupam Saikia
+	A note on the simultaneous 3-divisibility of class numbers of tuples of real quadratic fields	2024	Mohit Mishra Anupam Saikia
+	Congruent Numbers and Class Groups of Associated Quadratic Fields	2024	Shamik Das Anupam Saikia
+	A Brief Survey of Recent Results on Pólya Groups	2024	Jaitra Chattopadhyay Anupam Saikia
+ PDF Chat	Non-Pólya bi-quadratic fields with an Euclidean ideal class	2023	Jaitra Chattopadhyay Anupam Saikia
+	Structure of 2-class groups in the $${\mathbb {Z}}_{2}$$-extensions of certain real quadratic fields	2023	Jaitra Chattopadhyay H. Laxmi Anupam Saikia
+ PDF Chat	A note on the simultaneous 3-divisibility of class numbers of tuples of real quadratic fields.	2023	Mohit Mishra Anupam Saikia
+ PDF Chat	On the p-rationality of consecutive quadratic fields	2023	Jaitra Chattopadhyay H. Laxmi Anupam Saikia
+	A necessary condition for p and 2p to be congruent for a prime p ≡ 1 (mod 8)	2023	Shamik Das Anupam Saikia
+	On the structure and stability of ranks of $2$-class groups in cyclotomic $\mathbb{Z}_{2}$-extensions of certain real quadratic fields	2023	Jaitra Chattopadhyay H Laxmi Anupam Saikia
+	A brief survey of recent results on Pólya groups	2023	Jaitra Chattopadhyay Anupam Saikia
+	Stability of 2-class groups in $\mathbb{Z}_2$-extension of certain real quadratic number fields	2023	H Laxmi Anupam Saikia
+ PDF Chat	Construction of an infinite family of elliptic curves of 2-Selmer rank 1 from Heron triangles	2022	Debopam Chakraborty Vinodkumar Ghale Anupam Saikia
+ PDF Chat	On the p-ranks of the ideal class groups of imaginary quadratic fields	2022	Jaitra Chattopadhyay Anupam Saikia
+	On the 2-part of the class number of $${\mathbb {Q}}(\sqrt{\pm D})$$ for a congruent number D	2022	Shamik Das Anupam Saikia
+ PDF Chat	Totally real bi-quadratic fields with large Pólya groups	2022	Jaitra Chattopadhyay Anupam Saikia
+	Families of even noncongruent numbers with arbitrarily many pairs of prime factors	2022	Shamik Das Anupam Saikia
+	Construction of an infinite family of elliptic curves of 2-selmer rank 1 from heron triangles	2022	Debopam Chakraborty Vinodkumar Ghale Anupam Saikia
+	On the $p$-rationality of consecutive quadratic fields	2022	Jaitra Chattopadhyay H Laxmi Anupam Saikia
+ PDF Chat	On the $p$-ranks of the ideal class groups of imaginary quadratic fields	2021	Jaitra Chattopadhyay Anupam Saikia
+ PDF Chat	Simultaneous indivisibility of class numbers of pairs of real quadratic fields	2021	Jaitra Chattopadhyay Anupam Saikia
+	On $\theta$-congruent numbers over real number fields	2021	Samiran Das Anupam Saikia
+	Totally real bi-quadratic fields with large Pólya groups	2021	Jaitra Chattopadhyay Anupam Saikia
+	On the $p$-ranks of the ideal class groups of imaginary quadratic fields	2021	Jaitra Chattopadhyay Anupam Saikia
+	Non-Pólya bi-quadratic fields with an Euclidean ideal class	2021	Jaitra Chattopadhyay Anupam Saikia
+	Simultaneous indivisibility of class numbers of pairs of real quadratic fields	2020	Jaitra Chattopadhyay Anupam Saikia
+	ON -CONGRUENT NUMBERS OVER REAL NUMBER FIELDS	2020	Shamik Das Anupam Saikia
+	Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit	2020	Anupam Saikia
+	On the Iwasawa $\mu $-invariants of supersingular elliptic curves	2020	Anupam Saikia
+	On the period of the continued fraction of $\sqrt{pq}$	2020	Shamik Das Debopam Chakraborty Anupam Saikia
+	Simultaneous indivisibility of class numbers of pairs of real quadratic fields	2020	Jaitra Chattopadhyay Anupam Saikia
+	On a conjecture of Mordell	2019	Debopam Chakraborty Anupam Saikia
+ PDF Chat	Torsion of elliptic curves over imaginary quadratic fields of class number 1	2018	Naba Kanta Sarma Anupam Saikia
+	Explicit Solutions for $u^{2}-pv^{2}=\pm 2$ and a Conjecture of Mordell	2018	Debopam Chakraborty Anupam Saikia
+	On a conjecture Mordell.	2018	Debopam Chakraborty Anupam Saikia
+ PDF Chat	Bounding Hilbert coefficients of parameter ideals	2018	Anupam Saikia Kumari Saloni
+	On a conjecture Mordell	2018	Debopam Chakraborty Anupam Saikia
+ PDF Chat	On the derived length of units in group algebra	2017	Dishari Chaudhuri Anupam Saikia
+	An explicit construction for unramified quadratic extensions of biquadratic fields	2017	Debopam Chakraborty Anupam Saikia
+	Bounding Hilbert coefficients of parameter ideals	2016	Anupam Saikia Kumari Saloni
+	Congruence relations for the fundamental unit of a pure cubic field and its class number	2016	Debopam Chakraborty Anupam Saikia
+	Bounding Hilbert coefficients of parameter ideals	2016	Anupam Saikia Kumari Saloni
+ PDF Chat	ON RELATIVE CLASS NUMBER AND CONTINUED FRACTIONS	2015	Debopam Chakraborty Anupam Saikia
+	Explicit Reciprocity Law of Bloch–Kato and Exponential Maps	2015	Anupam Saikia
+	The Bloch–Kato Conjecture for the Riemann Zeta Function	2015	John Coates A. Raghuram Anupam Saikia R. Sujatha
+	On group algebras with unit groups of derived length at most four	2015	Dishari Chaudhuri Anupam Saikia
+ PDF Chat	Another look at real quadratic fields of relative class number 1	2014	Debopam Chakraborty Anupam Saikia
+	Iwasawa λ-invariants of p-adic measures on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:math> and their Γ-transforms	2012	Rupam Barman Anupam Saikia
+	IWASAWA λ-INVARIANTS AND Γ-TRANSFORMS OF p-ADIC MEASURES ON ${\mathbb Z}_{p}^n$	2010	Rupam Barman Anupam Saikia
+	COEFFICIENTS OF A p-ADIC MEASURE ON ${\mathbb Z}_p^n $ AND IWASAWA λ-INVARIANT OF ITS Γ-TRANSFORM	2010	Rupam Barman Anupam Saikia
+	A note on Iwasawa µ-invariants of elliptic curves	2010	Rupam Barman Anupam Saikia
+	Little Dragon Two: An efficient Multivariate Public Key Cryptosystem	2010	Rajesh P. Singh Anupam Saikia Sarma B. K
+	Guwahati Workshop on Iwasawa Theory of Totally Real Fields	2010	J. Coates C.S. Dalawat Anupam Saikia R. Sujatha
+ PDF Chat	On Units Generated by Euler Systems	2009	Anupam Saikia
+	Selmer Groups of Elliptic Curves with Complex Multiplication	2009	Anupam Saikia
+	Ribet's construction of a suitable cusp eigenform	2009	Anupam Saikia
+	On units generated by Euler systems	2009	Anupam Saikia
+ PDF Chat	Selmer Groups of Elliptic Curves with Complex Multiplication	2004	Anupam Saikia
+	A simple proof of a lemma of Coleman	2001	Anupam Saikia

Common Coauthors

Coauthor	Papers Together
Jaitra Chattopadhyay	16
Debopam Chakraborty	11
H Laxmi	5
Shamik Das	5
Rupam Barman	4
H. Laxmi	3
Kumari Saloni	3
Vinodkumar Ghale	2
R. Sujatha	2
Dishari Chaudhuri	2
A. Raghuram	1
Naba Kanta Sarma	1
J. Coates	1
Rajesh P. Singh	1
John Coates	1
C.S. Dalawat	1
Mohit Mishra	1
Sarma B. K	1
Samiran Das	1
Mohit Mishra	1
Shamik Das	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the class number divisibility of pairs of imaginary quadratic fields	2017	Yoshichika Iizuka	7
+ PDF Chat	On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields	2020	Jaitra Chattopadhyay Subramani Muthukrishnan	7
+	Parametrization of the Quadratic Fields Whose Class Numbers are Divisible by Three	2000	Yasuhiro Kishi Katsuya Miyake	6
+ PDF Chat	Real quadratic fields with class numbers divisible by n	1973	P. Weinberger	6
+	Über die Beziehung der Klassenzahlen quadratischer Körper zueinander.	1932	Arnold Scholz	5
+	An infinite family of pairs of imaginary quadratic fields with ideal classes of a given order	2016	Toru Komatsu	5
+ PDF Chat	On the divisibility of the class number of quadratic fields	1955	N. C. Ankeny S. Chowla	4
+ PDF Chat	Simultaneous indivisibility of class numbers of pairs of real quadratic fields	2021	Jaitra Chattopadhyay Anupam Saikia	4
+ PDF Chat	On the number of real quadratic fields with class number divisible by 3	2002	Kalyan Chakraborty M. Ram Murty	4
+	Über die Klassenzahl imaginär-quadratischer Zahlkörper	1922	Trygve Nagel	4
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	4
+	A classical Diophantine problem and modular forms of weight 3/2	1983	Jerrold B. Tunnell	4
+	Divisibility of Class Numbers of Imaginary Quadratic Fields	2000	K. Soundararajan	4
+ PDF Chat	An infinite family of pairs of quadratic fields Q(\sqrt D) and Q(\sqrt mD) whose class numbers are both divisible by 3	2002	Toru Komatsu	4
+	?-invariants and ?-transforms	1989	Nancy Childress	3
+	Cubic, quartic and sextic Pólya fields	2012	Amandine Leriche	3
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	3
+	Biquadratic Pólya fields with only one quadratic Pólya subfield	2014	Bahar Heidaryan Ali Rajaei	3
+	A Short Note on the Divisibility of Class Numbers of Real Quadratic Fields	2019	Jaitra Chattopadhyay	3
+	Über ganzwertige Polynome in algebraischen Zahlkörpern.	1919	Alexander Ostrowski	3
+	On a conjecture of Iizuka	2021	Azizul Hoque	3
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1984	Neal Koblitz	3
+	Biquadratic fields having a non-principal Euclidean ideal class	2019	Jaitra Chattopadhyay Subramani Muthukrishnan	3
+	Some non-Pólya biquadratic fields with low ramification	2017	Bahar Heidaryan Ali Rajaei	3
+	On the divisibility of class numbers of imaginary quadratic fields ($$ {\mathbb {Q}}(\sqrt{D}), {\mathbb {Q}}(\sqrt{D+m})$$)	2020	Jian-Feng Xie Kuok Fai Chao	3
+	Über ganzwertige Polynome in algebraischen Zahlkörpern.	1919	Georg Pólya	3
+ PDF Chat	None	1999	Ken Ono	3
+	A note on class numbers of algebraic number fields	1956	Kenkichi Iwasawa	3
+ PDF Chat	The size of Selmer groups for the congruent number problem	1993	D. R. Heath‐Brown	3
+ PDF Chat	Class numbers of quadratic fields ${\mathbb Q}(\sqrt {D})$ and ${\mathbb Q}(\sqrt {tD})$	2004	Dongho Byeon	3
+	Integer valued polynomials over a number field	1982	Hans Zantema	3
+ PDF Chat	Class numbers of real quadratic number fields	1974	Ezra Brown	3
+	A Note on the Divisibility of Class Numbers of Real Quadratic Fields	2002	Gang Yu	3
+	Iwasawa λ-invariants of Γ-transforms	1992	Junya Satoh	3
+ PDF Chat	Indivisibility of class numbers of imaginary quadratic fields	2017	Olivia Beckwith	3
+	Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication	1999	Winfried Kohnen Ken Ono	3
+ PDF Chat	The size of Selmer groups for the congruent number problem, II	1994	D. R. Heath‐Brown	3
+	Computing the rank of elliptic curves over real quadratic number fields of class number 1	1999	J. E. Cremona P. Serf	2
+	Cyclotomic Fields I and II	1990	Serge Lang	2
+ PDF Chat	Congruent numbers and Heegner points	2014	Ye Tian	2
+	Fonctions L p-adiques des corps quadratiques imaginaires et de leurs extensions abéliennes.	1985	R. Gillard	2
+	Meta-abelian unit groups of group algebras are usually abelian	1991	Aner Shalev	2
+	The Iwasawa Invariant μ p Vanishes for Abelian Number Fields	1979	Bruce Ferrero Lawrence C. Washington	2
+	Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)	2001	Abdelmalek Azizi Ali Mouhib	2
+ PDF Chat	On the norms of units in quadratic fields	1969	H. F. Trotter	2
+ PDF Chat	Über Den Bizyklischen Biquadratischen Zahlkörper	1956	Tomio Kubota	2
+	On a Pellian Equation Conjecture (II)	1961	L. J. Mordell	2
+	Cohomology of Number Fields	2008	Jürgen Neukirch Alexander Schmidt Kay Wingberg	2
+ PDF Chat	θ-congruent numbers and elliptic curves	2000	Makiko Kan	2
+	On Hilbert Functions and Cohomology	1997	Cristina Blancafort	2