- Title
- Arithmetic hypergeometric series
- Creator
- Zudilin, W.
- Relation
- Russian Mathematical Surveys Vol. 66, p. 369-420
- Publisher Link
- http://dx.doi.org/10.1070/RM2011v066n02ABEH004742
- Publisher
- Institute of Physics (IOP) Publishing
- Resource Type
- journal article
- Date
- 2011
- Description
- The main goal of this survey is to give common characteristics of auxiliary hypergeometric functions (and their generalisations), functions which occur in number-theoretic problems. Originally designed as a tool for solving these problems, the hypergeometric series have become a connecting link between different areas of number theory and mathematics in general.
- Subject
- hypergeometric series; zeta value; Ramanujan’s mathematics; Diophantine approximation; irrationality measure; modular form; Calabi–Yau differential equation; Mahler measure; Wilf–Zeilberger theory; algorithm of creative telescoping
- Identifier
- http://hdl.handle.net/1959.13/934817
- Identifier
- uon:11912
- Identifier
- ISSN:0036-0279
- Rights
- This is an author-created, un-copyedited version of an article accepted for publication in Russian Mathematical Surveys. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at 10.1070/RM2011v066n02ABEH004742
- Language
- eng
- Full Text
- Reviewed
- Hits: 4957
- Visitors: 5486
- Downloads: 554
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Author final version | 843 KB | Adobe Acrobat PDF | View Details Download |