Continued fractions and real quadratic fields
✍ Scribed by Stéphane Louboutin
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 567 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We show that for a real quadratic field F the dihedral congruence primes with respect to F for cusp forms of weight k and quadratic nebentypus are essentially the primes dividing expressions of the form e kÀ1 þ AE 1 where e þ is a totally positive fundamental unit of F . This extends work of Hida.
We show that the simple continued fractions for the analogues of (ae 2Ân +b)Â(ce 2Ân +d ) in function fields, with the usual exponential replaced by the exponential for F q [t] have very interesting patterns. These are quite different from their classical counterparts. We also show some continued fr
The continued fraction expansion and infrastructure for quadratic congruence function fields of odd characteristic have been well studied. Recently, these ideas have even been used to produce cryptosystems. Much less is known concerning the continued fraction expansion and infrastructure for quadrat