A result on the $c_2$ invariant for powers of primes
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1164-1178
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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.
Esipova, Maria S.; Yeats, Karen. A result on the $c_2$ invariant for powers of primes. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1164-1178. doi: 10.4153/S0008439523000243
@article{10_4153_S0008439523000243,
author = {Esipova, Maria S. and Yeats, Karen},
title = {A result on the $c_2$ invariant for powers of primes},
journal = {Canadian mathematical bulletin},
pages = {1164--1178},
year = {2023},
volume = {66},
number = {4},
doi = {10.4153/S0008439523000243},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000243/}
}
TY - JOUR AU - Esipova, Maria S. AU - Yeats, Karen TI - A result on the $c_2$ invariant for powers of primes JO - Canadian mathematical bulletin PY - 2023 SP - 1164 EP - 1178 VL - 66 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000243/ DO - 10.4153/S0008439523000243 ID - 10_4153_S0008439523000243 ER -
%0 Journal Article %A Esipova, Maria S. %A Yeats, Karen %T A result on the $c_2$ invariant for powers of primes %J Canadian mathematical bulletin %D 2023 %P 1164-1178 %V 66 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000243/ %R 10.4153/S0008439523000243 %F 10_4153_S0008439523000243
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