On the logarithmic terms in the asymptotic expansion of integrals
Algebraic Geometry
2026-02-09 v1 Complex Variables
Abstract
We consider integrals over vanishing cycles in the Milnor fibration of an isolated singularity defined by a Newton non-degenerate function. We single out a condition where the leading logarithmic term of the expansion of the integral into a logarithmic sum can be determined exactly.
Keywords
Cite
@article{arxiv.2602.06233,
title = {On the logarithmic terms in the asymptotic expansion of integrals},
author = {Achim Hennings},
journal= {arXiv preprint arXiv:2602.06233},
year = {2026}
}