A result on the \(c_2\) invariant for powers of primes. (English) Zbl 1534.81100
Summary: The \(c_2\) invariant is an arithmetic graph invariant related to quantum field theory. We give a relation modulo \(p\) between the \(c_2\) invariant at \(p\) and the \(c_2\) invariant at \(p^s\) by proving a relation modulo \(p\) between certain coefficients of powers of products of particularly nice polynomials. The relation at the level of the \(c_2\) invariant provides evidence for a conjecture of Schnetz.
MSC:
| 81T18 | Feynman diagrams |
| 05C30 | Enumeration in graph theory |
| 05E14 | Combinatorial aspects of algebraic geometry |
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