R. Fraser

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20162025

R^{2}

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2024

Oscillatory integrals with phases arising from algebraic number fields

Robert Fraser

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 fo…

math.NT2023

Fourier Dimension Estimates for Sets of Exact Approximation Order: The Badly-Approximable Case

Robert Fraser, Reuben Wheeler

We show for decreasing, positive approximation functions $ψ$ such that $τ = lim_{q \to \infty} \frac{l o g ψ ( q )}{l o g q} < \frac{13 + 73}{8}$ and such that $q^{2} ψ (q) \to 0$ t…