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arXiv:2408.02776 [math.NT]AbstractReferencesReviewsResources

Oscillatory integrals with phases arising from algebraic number fields

Robert Fraser

Published 2024-08-05Version 1

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.

Comments: 40 Pages
Categories: math.NT, math.CA
Subjects: 42B99
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