A result on the c2 invariant for powers of primes

Abstract

The c2 invariant is an arithmetic graph invariant related to quantum field theory. We give a relation modulo p between the c2 invariant at p and the c2 invariant at ps by proving a relation modulo p between certain coefficients of powers of products of particularly nice polynomials. The relation at the level of the c2 invariant provides evidence for a conjecture of Schnetz.

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