Search Results - "Class groups (Mathematics)"

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.

Primes of higher degree.

Authors: PANDEY, PREM PRAKASH RAM, MAHESH KUMAR

Source: Acta Arithmetica. 2026, Vol. 222 Issue 2, p137-155. 19p.

AN ALTERNATIVE PROOF OF THE CATALAN CONJECTURE.

Authors: LIU, Chang MIHĂILESCU, Preda

Source: Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science. 2026, Vol. 68 Issue 1, p131-157. 27p.

Generators of the 5-class group of fields of degree 20.

Authors: ELMOUHIB, Fouad¹ fouad.cd@gmail.com

Source: Palestine Journal of Mathematics. 2026, Vol. 15 Issue 1, p533-548. 16p.

On ideal class groups of totally degenerate number rings.

Authors: Hambardzumyan, Ruben Papikian, Mihran

Source: Journal of Number Theory. May2026, Vol. 282, p118-143. 26p.

Subjects: Class groups (Mathematics), Polynomials, Asymptotic expansions, Ordered algebraic structures, Integers

Corrigendum to "Invariant part of class groups and distribution of relative class group" [J. Number Theory 279 (2026) 691–748].

Authors: Wang, Weitong¹ (AUTHOR) weitongwang@hrbeu.edu.cn

Source: Journal of Number Theory. Apr2026, Vol. 281, p588-595. 8p.

Subjects: Class groups (Mathematics), Algebraic fields, Mathematical analysis, Mathematics, Scholarly periodical corrections

Equidistribution of realizable Steinitz classes for cyclic Kummer extensions.

Authors: Lynch, Brody¹ (AUTHOR) bjlynch@umass.edu

Source: Journal of Number Theory. Apr2026, Vol. 281, p139-168. 30p.

Subjects: Algebraic number theory, Class groups (Mathematics), Galois theory, Scientific method

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

Elasticity of orders with prime conductor.

Authors: Kettinger, Jared Moles, Grant

Source: Journal of Number Theory. Feb2026, Vol. 279, p579-593. 15p.

Subjects: Class groups (Mathematics), Prime ideals, Mathematical analysis, Ideals (Algebra), Rings of integers, Factorization, Scientific observation

Invariant part of class groups and distribution of relative class group.

Authors: Wang, Weitong¹ (AUTHOR) 93thomaswang@gmail.com

Source: Journal of Number Theory. Feb2026, Vol. 279, p691-748. 58p.

Subjects: Class groups (Mathematics), Sylow subgroups, Group extensions (Mathematics), Field extensions (Mathematics), Mathematical analysis, Number theory

Annihilating class groups in p-elementary abelian extensions.

Authors: BULLACH, DOMINIK MACÍAS CASTILLO, DANIEL

Source: Mathematical Proceedings of the Cambridge Philosophical Society. Jul2025, Vol. 179 Issue 1, p145-166. 22p.

Jacobi symbols on class groups of quadratic forms.

Authors: EVANS, RON VAN VEEN, MARK

Source: Acta Arithmetica. 2025, Vol. 219 Issue 3, p223-247. 25p.

Ideal class groups of some quadratic number fields and factorization of values of some quadratic polynomials.

Authors: Louboutin, Stéphane R.¹ stephane.louboutin@univ-amu.fr

Source: Czechoslovak Mathematical Journal. Jul2026, Vol. 76 Issue 2, p677-697. 21p.

Distribution of the bad part of class groups.

Authors: Wang, Weitong¹ (AUTHOR) weitongwang@hrbeu.edu.cn

Source: Research in Number Theory. 6/25/2026, Vol. 12 Issue 3, p1-28. 28p.

On the narrow 2-class field tower of some real quadratic number fields: lengths heuristics follow-up.

Authors: Benjamin, Elliot Chems-Eddin, Mohamed Mahmoud

Source: Research in Number Theory. 6/17/2026, Vol. 12 Issue 3, p1-25. 25p.

The algebra Zℓ[[Zpd]] and applications to Iwasawa theory.

Authors: Bandini, Andrea Longhi, Ignazio

Source: Journal of the London Mathematical Society; Jun2026, Vol. 113 Issue 6, p1-46, 46p

SIMULTANEOUS BOUNDING OF 4 $4$ 4 -RANKS IN NARROW CLASS GROUPS OF QUADRATIC FIELDS.

Authors: WU, CHUAN-CHUAN¹, wcc@henu.edu.cn

Source: Bulletin of the Australian Mathematical Society; Jun2026, Vol. 113 Issue 3, p440-446, 7p

Arbitrarily large Pólya groups of compositum of simplest fields and some bi-quadratic Pólya fields.

Authors: Islam, M. Imdadul Chakraborty, Debopam Chattopadhyay, Jaitra

Source: International Journal of Number Theory. Jun2026, Vol. 22 Issue 5, p915-924. 10p.

Differential graded orders, their class groups and idèles.

Authors: Zimmermann, Alexander¹ (AUTHOR) alexander.zimmermann@u-picardie.fr

Source: Journal of Algebra & Its Applications. May2026, p1. 48p.

Counting integral points on symmetric varieties with applications to arithmetic statistics.

Authors: Shankar, Arul Siad, Artane Swaminathan, Ashvin A.

Source: Proceedings of the London Mathematical Society. Apr2025, Vol. 130 Issue 4, p1-55. 55p.