A study on prefixes of c_2 invariants [article]

Karen Yeats
2018 arXiv   pre-print
This document begins by reviewing recent progress that has been made by taking a combinatorial perspective on the c_2 invariant, an arithmetic graph invariant with connections to Feynman integrals. Then it proceeds to report on some recent calculations of c_2 invariants for two families of circulant graphs at small primes. These calculations support the idea that all possible finite sequences appear as initial segments of c_2 invariants, in contrast to their apparent sparsity on small graphs.
arXiv:1805.11735v2 fatcat:g5ivl73ecbcwrekaret2dvkiii