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Some Remarks on the Divisibility of the Class Numbers of Imaginary Quadratic Fields

Mathematics (Basel), 2022-07, Vol.10 (14), p.2488

Kim, Kwang-Seob

2022

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Indices formal grammar of the Universal Decimal Classification

Bibliosfera : zhurnal po bibliotekovedenii͡u︡, bibliografovedenii͡u︡, knigovedenii͡u︡ i informatike, 2018-12 (4), p.106-110

2018

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Class numbers of totally real fields and applications to the Weber class number problem

Acta arithmetica, 2014, Vol.164 (4), p.381-397

Miller, John C.

2014

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On the Lang–Trotter conjecture for two elliptic curves

The Ramanujan journal, 2019-08, Vol.49 (3), p.585-623

2019

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On class numbers inside the real $p$th cyclotomic field

Kodai mathematical journal, 2024-03, Vol.47 (1)

Ichimura, Humio

2024

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Limit distribution of class numbers for discriminants in progressions and fundamental discriminants

International journal of number theory, 2016-08, Vol.12 (5), p.1237-1258

Raulf, Nicole

2016

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Class numbers, Ono invariants and some interesting primes

Indagationes mathematicae, 2024-06

Gica, Alexandru

2024

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A necessary condition for p and 2p to be congruent for a prime p ≡ 1 (mod 8)

Journal of pure and applied algebra, 2023-07, Vol.227 (7), p.107335, Article 107335

2023

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On the Class Numbers in the Cyclotomic - and -Extensions of the Field of Rationals

Experimental mathematics, 2020-12, Vol.29 (4), p.470-474

2020

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A Generalization of Jakubec's Formula

Mathematica Slovaca, 2015-02, Vol.65 (1), p.215-227

Hirabayashi, Mikihito

2015

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Mean values of L-functions and relative class numbers of cyclotomic fields

Publicationes mathematicae (Debrecen), 2011-04, Vol.78 (3-4), p.647-658

LOUBOUTIN, STEPHANE R.

2011

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The Kummer ratio of the relative class number for prime cyclotomic fields

Journal of mathematical analysis and applications, 2024-10, Vol.538 (1), p.128368, Article 128368

2024

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Function fields with class number indivisible by a prime l

Acta arithmetica, 2011, Vol.150 (4), p.339-359

2011

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Upper bounds on relative class numbers of cyclotomic fields

Mathematica Slovaca, 2014-02, Vol.64 (1), p.21-26, Article 21

Louboutin, S.

2014

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The first factor of the class number of the p-th cyclotomic field

Archiv der Mathematik, 2014-03, Vol.102 (3), p.237-244

Debaene, Korneel

2014

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Required condition for a congruent number: pq with primes p ≡ 1 (mod 8) and q ≡ 3 (mod 8)

Journal of number theory, 2024-10, Vol.263, p.139-152

Das, Shamik

2024

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The Hasse invariant of the Tate normal form E5 and the class number of Q(−5l)

Journal of number theory, 2021-10, Vol.227, p.94-143

Morton, Patrick

2021

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Ring class fields and a result of Hasse

Journal of number theory, 2025-01, Vol.266, p.33-61

2025

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Determinants of trigonometric functions and class numbers

Linear algebra and its applications, 2022-11, Vol.653, p.33-43

Guo, Xuejun

2022

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Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields

Transactions of the American Mathematical Society, 2021-08, Vol.374 (8), p.5349-5403

2021

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A short basis of the Stickelberger ideal of a cyclotomic field

Mathematics of computation, 2024-03, Vol.93 (346), p.887-909

2024

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Corrigendum to “Minimal generators of the ideal class group” [J. Number Theory 222 (2021) 157–167]

Journal of number theory, 2022-02, Vol.231, p.492-494

Kim, Henry H.

2022

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The imaginary abelian number fields of 2-power degrees with ideal class groups of exponent ≤2

Mathematics of computation, 2012-01, Vol.81 (277), p.533-554

2012

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On -unramified extensions over imaginary quadratic fields

Glasgow mathematical journal, 2024-01, Vol.66 (1), p.119-125

2024

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On a Ramanujan-type series associated with the Heegner number 163

Journal of number theory, 2024-06, Vol.259, p.322-329

Campbell, John M.

2024

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Some Remarks on the Divisibility of the Class Numbers of Imaginary Quadratic Fields

Indices formal grammar of the Universal Decimal Classification

Class numbers of totally real fields and applications to the Weber class number problem

On the Lang–Trotter conjecture for two elliptic curves

On class numbers inside the real $p$th cyclotomic field

Limit distribution of class numbers for discriminants in progressions and fundamental discriminants

Class numbers, Ono invariants and some interesting primes

A necessary condition for p and 2p to be congruent for a prime p ≡ 1 (mod 8)

On the Class Numbers in the Cyclotomic - and -Extensions of the Field of Rationals

A Generalization of Jakubec's Formula

Mean values of L-functions and relative class numbers of cyclotomic fields

The Kummer ratio of the relative class number for prime cyclotomic fields

Function fields with class number indivisible by a prime l

Upper bounds on relative class numbers of cyclotomic fields

The first factor of the class number of the p-th cyclotomic field

Required condition for a congruent number: pq with primes p ≡ 1 (mod 8) and q ≡ 3 (mod 8)

The Hasse invariant of the Tate normal form E5 and the class number of Q(−5l)

Ring class fields and a result of Hasse

Determinants of trigonometric functions and class numbers

Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields

A short basis of the Stickelberger ideal of a cyclotomic field

Corrigendum to “Minimal generators of the ideal class group” [J. Number Theory 222 (2021) 157–167]

The imaginary abelian number fields of 2-power degrees with ideal class groups of exponent ≤2

On -unramified extensions over imaginary quadratic fields

On a Ramanujan-type series associated with the Heegner number 163

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