id: 06074390
dt: j
an: 06074390
au: Bagis, N.D.; Glasser, M.L.
ti: Conjectures on the evaluation of alternative modular bases and formulas
    approximating $1/π$.
so: J. Number Theory 132, No. 10, 2353-2370 (2012).
py: 2012
pu: Elsevier Science (Academic Press), San Diego, CA
la: EN
cc: 
ut: elliptic functions; singular modulus; Ramanujan’s cubic theory; pi
ci: 
li: doi:10.1016/j.jnt.2012.04.010
ab: Summary: In this article using the theory of Eisenstein series, we give the
    complete evaluation of two Gauss hypergeometric functions. Moreover we
    evaluate the modulus of each of these functions and the values of the
    functions in terms of the complete elliptic integral of the first kind
    $K$. As application we give way of how to evaluate the parameters in a
    closed-well posed form, of a general Ramanujan type $1/π$ formula. The
    result is a formula of 110 digits per term.
rv: