English

Archimedean Zeta Functions and Oscillatory Integrals

Algebraic Geometry 2022-06-03 v2 Classical Analysis and ODEs

Abstract

This note is a short survey of two topics: Archimedean zeta functions and Archimedean oscillatory integrals. We have tried to portray some of the history of the subject and some of its connections with similar devices in mathematics. We present some of the main results of the theory and at the end we discuss some generalizations of the classical objects.

Keywords

Cite

@article{arxiv.2110.10299,
  title  = {Archimedean Zeta Functions and Oscillatory Integrals},
  author = {Edwin León-Cardenal},
  journal= {arXiv preprint arXiv:2110.10299},
  year   = {2022}
}

Comments

Some references were added. A new paragraph about the work of B. Lichtin on multivariate zeta functions was also added to Section 5

R2 v1 2026-06-24T07:01:54.666Z