This is the fifth and final volume that the authors have written in their examination of all the
claims made by S. Ramanujan in The Lost Notebook and Other Unpublished Papers …

Certain Feynman integrals are associated to Calabi-Yau geometries. We demonstrate how
these integrals can be computed with the method of differential equations. The four-loop …

A bstract We describe a systematic approach to cast the differential equation for the l-loop
equal mass banana integral into an ε-factorised form. With the known boundary value at a …

1 X nD 1 qn2 xn; where jqj< 1 and 0< jxj< 1; or a generalization or specialization of such a
series. Theta functions were studied extensively by Ramanujan and form the central theme …

We study geometries occurring in Feynman integrals that contribute to the scattering of black
holes in the post-Minkowskian (PM) expansion. These geometries become relevant to …

In [4], Beukers studies the differential equation ((t3+ at2+ bt) F (t))+(t− λ) F (t)= 0,(*) where a,
b and λ are rational parameters, and asks for which values of these parameters this equation …

When we pause to reflect on Ramanujan's life, we see that there were certain events that
seemingly were necessary in order that Ramanujan and his mathematics be brought to …

The main part of this paper is a big table containing what we believe to be a complete list of
all fourth order equations of Calabi--Yau type known so far. In the text preceding the tables …

We give a systematic treatment of lattice Green's functions (LGF) on the d-dimensional
diamond, simple cubic, body-centred cubic and face-centred cubic lattices for arbitrary …

This proceedings note introduces aspects of the authors' work relating mirror symmetry and
integral variations of Hodge structure. The emphasis is on their classification of the integral …