Oscillatory integrals with phases arising from algebraic number fields
Number Theory
2024-08-07 v1 Classical Analysis and ODEs
Abstract
We develop a theory of oscillatory integrals whose phase is given by the trace of a polynomial over an algebraic number field. We present an application to the singular integral for a version of Tarry's problem for algebraic integers.
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Cite
@article{arxiv.2408.02776,
title = {Oscillatory integrals with phases arising from algebraic number fields},
author = {Robert Fraser},
journal= {arXiv preprint arXiv:2408.02776},
year = {2024}
}
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40 Pages