Suppose g > 2 is an odd integer. For real number X > 2, define S g รฐX ร the number of squarefree integers d4X with the class number of the real quadratic field Qรฐ ffiffiffi d p ร being divisible by g. By constructing the discriminants based on the work of Yamamoto, we prove that a lower bound S g รฐX
โฆ LIBER โฆ
A note on the Hecke hypothesis and the determination of imaginary quadratic fields with class-number 1
โ Scribed by S. Chowla; M.J. DeLeon
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 103 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A Note on the Divisibility of Class Numb
โ
Gang Yu
๐
Article
๐
2002
๐
Elsevier Science
๐
English
โ 118 KB
Refined Lower Bounds on the 2-Class Numb
โ
Elliot Benjamin; Charles J. Parry
๐
Article
๐
1999
๐
Elsevier Science
๐
English
โ 125 KB
Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to Zร2Z\_Zร2Z\_Zร2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of