Search Results - "Quadratic fields"

Monogenity for certain non-cyclic abelian extension fields.

Authors: KHAN, NADIA NAKAHARA, TORU SEKIGUCHI, HIROSHI et al.

Source: Acta Arithmetica. 2026, Vol. 223 Issue 4, p297-308. 12p.

Explicit quadratic large sieve inequality.

Authors: LIU, ZIHAO¹ tzliu@stanford.edu

Source: Acta Arithmetica. 2026, Vol. 223 Issue 3, p227-252. 26p.

On automorphisms of some semidirect product groups and ranks of Iwasawa modules.

Authors: FUJII, SATOSHI¹ fujiisatoshi@edu.shimane-u.ac.jp

Source: Acta Arithmetica. 2026, Vol. 223 Issue 3, p197-206. 10p.

Sifting for small split primes of an imaginary quadratic field in a given ideal class.

Authors: GAUDET, LOUIS M.¹ lgaudet@umass.edu

Source: Acta Arithmetica. 2026, Vol. 222 Issue 3, p219-263. 45p.

FURTHER RESULTS ON THE LEBESGUE-NAGELL EQUATION dx² + p^2mq²ⁿ = 4y^p.

Authors: LE, MAOHUA SOYDAN, GÖKHAN

Source: Miskolc Mathematical Notes. 2026, Vol. 27 Issue 1, p283-290. 8p.

Calculating Generators of Power Integral Bases in Sextic Fields with a Quadratic Subfield: The General Case.

Authors: Gaál, István¹ (AUTHOR)

Source: Mathematics (2227-7390). Jan2026, Vol. 14 Issue 1, p155. 8p.

FURTHER RESULTS ON THE LEBESGUE-NAGELL EQUATION dx² + p^2mq²ⁿ = 4y^p.

Authors: LE, MAOHUA SOYDAN, GÖKHAN

Source: Miskolc Mathematical Notes. 2026, Vol. 27 Issue 1, p283-290. 8p.

Unramified extensions of quadratic number fields with Galois group 2.An.

Authors: KÖNIG, JOACHIM¹ jkoenig@knue.ac.kr

Source: Acta Arithmetica. 2026, Vol. 222 Issue 1, p83-98. 16p.

Criterion for Class Number of the Family Q254m2+m to be Greater Than or Equal to Three.

Authors: Issa, Ahmad Su, Huadong

Source: Journal of Mathematics. 11/30/2025, Vol. 2025, p1-5. 5p.

CHAIN MODULAR UNITS AND EXPLICIT UNIT GROUPS IN RAY CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS.

Authors: EL BARAKA, MOHAMMED EZZOUAK, SIHAM

Source: Gulf Journal of Mathematics. 2025, Vol. 21 Issue 1, p302-318. 17p.

Quadratic vector fields in class I.

Authors: Carles Artés, Joan Chen, Hebai Manel Ferrer, Lluc et al.

Source: Dynamical Systems: An International Journal. Jun2025, Vol. 40 Issue 2, p191-222. 32p.

Subjects: Vector fields, Quadratic fields, Symbolic computation, Projective spaces, Numerical calculations, Limit cycles, Bifurcation diagrams

Shadow line distributions.

Authors: Balakrishnan, Jennifer S. Çiperiani, Mirela Mazur, Barry et al.

Source: Mathematics of Computation. Sep2026, Vol. 95 Issue 361, p2539-2557. 19p.

Subjects: Elliptic curves, Quadratic fields, Hypothesis, Abelian groups

Number fields with large Pólya groups.

Authors: Akbary, Amir Maarefparvar, Abbas

Source: Journal of Number Theory. Nov2026, Vol. 288, p44-77. 34p.

Subjects: Quadratic fields, Algebraic number theory, Galois theory

On the structure of Galois groups of tamely ramified pro-p extensions of imaginary quadratic fields.

Authors: Liu, Qi Xing, Zugan

Source: Journal of Number Theory. Oct2026, Vol. 287, p136-153. 18p.

Subjects: Galois theory, Quadratic fields, Irreducible polynomials, Field extensions (Mathematics)

Non-trivial solutions of Aap + Bbp = Cc3 over number fields.

Authors: Kara, Yasemin Nomden, Stef Özman, Ekin

Source: Journal of Number Theory. Sep2026, Vol. 286, p108-130. 23p.

Subjects: Diophantine equations, Quadratic fields, Modular forms, Algebraic number theory, Mathematical bounds, Number theory

Greenberg's conjecture and Iwasawa module of real biquadratic fields I.

Authors: Chems-Eddin, Mohamed Mahmoud¹ (AUTHOR) 2m.chemseddin@gmail.com

Source: Journal of Number Theory. Apr2026, Vol. 281, p224-266. 43p.

Subjects: Quadratic fields, Cyclotomic fields

Initial layer of the anti-cyclotomic [formula omitted]-extension of [formula omitted] and capitulation phenomenon.

Authors: Gras, Georges¹ (AUTHOR) g.mn.gras@wanadoo.fr

Source: Journal of Number Theory. Mar2026, Vol. 280, p634-701. 68p.

Subjects: Quadratic fields, Class groups (Mathematics), Cyclotomic fields, Cubic equations, Number theory

Torsion of rational elliptic curves over the [formula omitted]-extensions of quadratic fields.

Authors: Avcı, Ömer¹ (AUTHOR) oavci@uottawa.ca

Source: Journal of Number Theory. Mar2026, Vol. 280, p153-170. 18p.

Subjects: Elliptic curves, Quadratic fields, Torsion theory (Algebra), Number theory, Mathematics

On Squarefree Parts of Polynomial Discriminants and Quadratic Fields.

Authors: Jakhar, Anuj Kotyada, Srinivas Mukhopadhyay, Arunabha

Source: Results in Mathematics / Resultate der Mathematik. Aug2025, Vol. 80 Issue 5, p1-9. 9p.

Counting rational points over imaginary quadratic number fields on a singular cubic surface.

Authors: Liu, Si-Han Zhai, Wenguang

Source: International Journal of Number Theory. Aug2025, Vol. 21 Issue 7, p1641-1703. 63p.