A study on prefixes of invariants

  • Karen Yeats

    University of Waterloo, Canada
A study on prefixes of $c_2$ invariants cover

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Abstract

This paper begins by reviewing recent progress that has been made by taking a combinatorial perspective on the invariant, an arithmetic graph invariant with connections to Feynman integrals. Then it proceeds to report on some recent calculations of 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 invariants, in contrast to their apparent sparsity on small graphs.