| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595363 | Journal of Number Theory | 2009 | 12 Pages |
Abstract
We shall consider arithmetical properties of the q-continued fractionsKn=1∞qsn(S0+S1qn+⋯+Shqhn)T0+T1qn+⋯+Tlqln,Si,Ti,q∈K,|q|v<1, and some related continued fractions where v is a fixed valuation of an algebraic number field KK and s,h,l∈Ns,h,l∈N. In particular, we get sharp irrationality measures for certain Ramanujan, Ramanujan–Selberg, Eisenstein and Tasoev continued fractions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tapani Matala-aho, Ville Merilä,