Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero

@article{Cluckers2015IntegrationOF,
  title={Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero},
  author={R. Cluckers and Immanuel Halupczok},
  journal={arXiv: Logic},
  year={2015}
}
  • R. Cluckers, Immanuel Halupczok
  • Published 2015
  • Mathematics
  • arXiv: Logic
  • Through a cascade of generalizations, we develop a theory of motivic integration which works uniformly in all non-archimedean local fields of characteristic zero, overcoming some of the difficulties related to ramification and small residue field characteristics. We define a class of functions, called functions of motivic exponential class, which we show to be stable under integration and under Fourier transformation, extending results and definitions from previous papers. We prove uniform… CONTINUE READING
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