Abstract:
:This paper provides transcendental and algebraic framework for the classification of identities expressing pi and other logarithms of algebraic numbers as rapidly convergent generalized hypergeometric series in rational parameters. Algebraic and arithmetic relations between values of p+1Fp hypergeometric functions and their values are analyzed. The existing identities are explained, and new exhaustive classes of new ones are presented.
journal_name
Proc Natl Acad Sci U S Aauthors
Chudnovsky DV,Chudnovsky GVdoi
10.1073/pnas.95.6.2744subject
Has Abstractpub_date
1998-03-17 00:00:00pages
2744-9issue
6eissn
0027-8424issn
1091-6490journal_volume
95pub_type
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