On a simple quartic family of Thue equations over imaginary quadratic number fields

被引：0

|

作者：

Earp-lynch, Benjamin ^{[1
]}

Faye, Bernadette ^{[2
]}

Goedhart, Eva G. ^{[3
]}

Vukusic, Ingrid ^{[4
]}

Wisniewski, Daniel P. ^{[5
]}

机构：

[1] Carleton Univ, Ottawa, ON, Canada

[2] Univ Alioune Diop Bambey, UFR SATIC, Bambey 30, Diourbel, Senegal

[3] Franklin & Marshall Coll, Lancaster, PA 17603 USA

[4] Univ Salzburg, A-5020 Salzburg, Austria

[5] DeSales Univ, Dept Math Comp Sci, Center Valley, PA 18034 USA

来源：

ACTA ARITHMETICA | 2023年

基金：

奥地利科学基金会;

关键词：

relative Thue equation; parametrized Thue equation; hypergeo-metric method; APPROXIMATION VALUES; THOMAS FAMILY;

D O I：

10.4064/aa230329-19-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

收藏

页码：355 / 389

页数：35

相关论文

共 50 条

[21] New analytic problems over imaginary quadratic number fields
Motohashi, Y
NUMBER THEORY, 2001, : 255 - 279
[22] ON CLASS-NUMBERS OF IMAGINARY QUADRATIC AND QUARTIC FIELDS
UEHARA, T
ARCHIV DER MATHEMATIK, 1983, 41 (03) : 256 - 260
[23] Computing relative power integral bases in a family of quartic extensions of imaginary quadratic fields
Franusic, Zrinka
Jadrijevic, Borka
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018, 92 (3-4): : 293 - 315
[24] ON CLASS NUMBER OF IMAGINARY QUADRATIC NUMBER FIELDS
KURODA, SN
PROCEEDINGS OF THE JAPAN ACADEMY, 1964, 40 (06): : 365 - &
[25] The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields
Lynch, Rodney
Morton, Patrick
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, 11 (06) : 1961 - 2017
[26] A new family of imaginary quadratic fields with class number divisible by 5
Jin, Seokho
Kim, Kwang-Seob
RAMANUJAN JOURNAL, 2025, 66 (03):
[27] CLASS NUMBER OF IMAGINARY QUADRATIC FIELDS
BAKER, A
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 77 (05) : 678 - &
[28] On Fermat’s equation over some quadratic imaginary number fields
Ţurcaş G.C.
Research in Number Theory, 2018, 4 (2)
[29] Complete solutions of a family of quartic thue and index form equations
Mignotte, M
Petho, A
Roth, R
MATHEMATICS OF COMPUTATION, 1996, 65 (213) : 341 - 354
[30] Quadratic reciprocity law in imaginary quadratic number fields
Bayad, A
ANNALES DE L INSTITUT FOURIER, 1995, 45 (05) : 1223 - &

← 1 2 3 4 5 →