✦ LIBER ✦
Explicit Bounds for Residues of Dedekind Zeta Functions, Values of L-Functions at s=1, and Relative Class Numbers
✍ Scribed by Stéphane Louboutin
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 168 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
We give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number fields, for |L(1, /)| for nontrivial primitive characters / on ray class groups, and for relative class numbers of CM fields. We also give explicit lower bounds for relative class numbers of CM fields (which do not contain any imaginary quadratic subfield). Most of these bounds stem from a useful lemma which enables us to easily obtain neat bounds.