Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

Over the last year significant progress was made in the understanding of the computation of
Feynman integrals using differential equations (DE). These lectures give a review of these …

A bstract We provide a comprehensive summary of concepts from Calabi-Yau motives
relevant to the computation of multi-loop Feynman integrals. From this we derive several …

A bstract Using the Gelfand-Kapranov-Zelevinskĭ system for the primitive cohomology of an
infinite series of complete intersection Calabi-Yau manifolds, whose dimension is the loop …

This survey paper attempts to present in as elementary a way as possible a wide panorama
of results concerning the relations between differential equations on the one hand and …

We provide a data mine of proven results for Multiple Zeta Values (MZVs) of the form
[Formula: see text] with weight w=∑ i= 1ksi and depth k and for Euler sums of the form …

The problem of evaluating integrals is well known to every student who has had a year of
calculus. It was an especially important subject in nineteenth century analysis and it has now …

A bstract We revisit the relations between open and closed string scattering amplitudes
discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the un …

This paper has two parts. The first part surveys Euler's work on the constant $\gamma=
0.57721\cdots $ bearing his name, together with some of his related work on the gamma …

The set of real numbers and the set of complex numbers have the power of continuum.
Among these numbers, those which are``interesting'', which appear``naturally'', which …