Archimedean Zeta Functions and Oscillatory Integrals

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.

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

References in corpus (3)

• Meromorphic Continuation of Koba-Nielsen String Amplitudes
• Graphs, local zeta functions, Log-Coulomb Gases, and phase transitions at finite temperature
• On Archimedean Zeta Functions and Newton Polyhedra