منابع مشابه
A Matrix Form of Ramanujan-type Series for 1/π
In this paper we prove theorems related to the Ramanujan-type series for 1/π (type 3F2) and to the Ramanujan-like series, discovered by the author, for 1/π (type 5F4). Our developments for the cases 3F2 and 5F4 connect with the theory of modular functions and with the theory of CalabiYau differential equations, respectively.
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Using the PSLQ-algorithm J.Guillera found some formulas for 1 π2 . He proved three of them using WZ-pairs. Then W. Zudilin showed how to produce formulas for 1 π2 by squaring formulas for 1 π . The success of this depends on facts related to CalabiYau differential equations of string theory. Here some examples of this is worked out. Also some formulas containing harmonic numbers are found by di...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2010
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2010.v17.n5.a7