2014/12/15 by Raf Cluckers, Julia Gordon, Cluckers, Raf +3
Mathematics · #40J99 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Logic (math.LO) #Number Theory (math.NT) #Primary 14E18 #Representation Theory (math.RT) #Secondary 22E50 #math.AG #math.LO #math.NT #math.RT #msc:14E18 #msc:22E50 #msc:40J99
paper · pdf · doi:10.48550/arxiv.1412.4573
17 pages
arxiv created 2014/12/15 · openalex publication_date 2014/12/15 · arxiv updated 2014/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study transfer principles for upper bounds of motivic exponential functions and for linear combinations of such functions, directly generalizing the transfer principles from [7] by Cluckers-Loeser and [13, Appendix B] by Shin-Templier (appendix B by Cluckers-Gordon-Halupczok). These functions come from rather general oscillatory integrals on local fields, and can be used to describe e.g. Fourier transforms of orbital integrals. One of our techniques consists in reducing to simpler functions where the oscillation only comes from the residue field.