93 citations · 180 across the 24 of their papers we have counts for
24 papers
Calabi-Yau operators of degree two
Gert Almkvist, Duco van Straten
We show that the solutions to the equations defining the so-called Calabi-Yau condition for fourth order operators of degree two defines a variety that consists of ten irreducible…
More remarkable sinc integrals and sums
Gert Almkvist, Jan Gustavsson
We use Poisson summation formula to calculate integrals of producs of sinc functions (cf. [4]) and related integrals as in [5] and [3]. We also generalize the one in [5] and introd…
About a class of Calabi-Yau differential equations
Gert Almkvist, Michael Bogner, Jesús Guillera
We explain an experimental method to find CY-type differential equations of order related to modular functions of genus zero. We introduce a similar class of Calabi-Yau differe…
Some conjectured formulas for 1/Pi coming from polytopes, K3-surfaces and Moonshine
Gert Almkvist
Calabi-Yau differential equations of various origins are used to find generalized J-functions. From their values of them. numerous conjectured formulas for 1/Pi are constructed.
Ramanujan-Sato-like series
Gert Almkvist, Jesús Guillera
Using the theory of Calabi-Yau differential equations we obtain all the parameters of Ramanujan-Sato-like series for as -functions valid in the complex plane. Then we us…
Proof of some conjectured formulas for 1/pi by Z.-W. Sun
Gert Almkvist, Alexander Aycock, appendix by Arne Meurman
Recently Z.W.Sun found over hundred conjectured formulas for 1/pi. Many of them were proved by H.H.Chan, J.Wan andW.Zudilin (see [3], [8] in the paper). Here we show that several o…