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 no
β¦ LIBER β¦
Some analytic bounds for zeta functions and class numbers
β Scribed by Jeffrey Hoffstein
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- English
- Weight
- 418 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0020-9910
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## Improved Bounds for Taylor Coefficients of Analytic Functions The practical computation of verified bounds for Taylor coefficients of analytic functions is considered. Using interval arithmetic, the bounds are constructed from Cauchy's estimate and from some of its modifications. By employing t