✦ LIBER ✦

The class number problem

✍ Scribed by Rajat Tandon

Publisher: Indian Academy of Sciences
Year: 1998
Tongue: English
Weight: 481 KB
Volume: 3
Category: Article
ISSN: 0971-8044
DOI: 10.1007/bf02837310

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

✍ Rajat Tandon 📂 Article 📅 1998 🏛 Indian Academy of Sciences 🌐 English ⚖ 294 KB

Class Number Problem for Imaginary Cycli

Class Number Problem for Imaginary Cyclic Number Fields

✍ Ku-Young Chang; Soun-Hi Kwon 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 292 KB

Let N be an imaginary cyclic number field of degree 2n. When n=3 or n=2 m 2, the fields N with class numbers equal to their genus class numbers and the fields N with relative class numbers less than or equal to 4 are completely determined [10,13,26,27]. Now assume that n 5 and n is not a 2-power. In

Class number one problem for normal CM-f

Class number one problem for normal CM-fields

✍ Sun-Mi Park; Soun-Hi Kwon 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 360 KB

It is known that if we assume the Generalized Riemann Hypothesis, then any normal CM-field with relative class number one is of degree less than or equal to 96. All normal CM-fields of degree less than 48 with class number one are known. In addition, for normal CM-fields of degree 48 the class numbe

The role of modular functions in a class

The role of modular functions in a class-number problem

✍ H.M. Stark 📂 Article 📅 1969 🏛 Elsevier Science 🌐 English ⚖ 389 KB

Solution of the class number two problem

Solution of the class number two problem for cyclotomic fields

✍ John Myron Masley 📂 Article 📅 1975 🏛 Springer-Verlag 🌐 English ⚖ 117 KB

The class-number one problem for some re

The class-number one problem for some real cubic number fields with negative discriminants

✍ Stéphane R. Louboutin 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 136 KB

We prove that there are effectively only finitely many real cubic number fields of a given class number with negative discriminants and ring of algebraic integers generated by an algebraic unit. As an example, we then determine all these cubic number fields of class number one. There are 42 of them.