Provides explicit formulas for the diffraction spectrum coefficients of multi-origin visible points in lattices and proves pure point translation bounded spectrum for visible points in certain cut-and-project sets.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Explicit estimates for the count of integral ideals in number fields are derived with error terms that grow much more slowly with the degree n than the standard n^{n^2} bound.
citing papers explorer
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On the diffraction spectrum of the set of visible points in lattices and certain cut-and-project sets
Provides explicit formulas for the diffraction spectrum coefficients of multi-origin visible points in lattices and proves pure point translation bounded spectrum for visible points in certain cut-and-project sets.
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Explicit counting of ideals in number fields of arbitrary degree
Explicit estimates for the count of integral ideals in number fields are derived with error terms that grow much more slowly with the degree n than the standard n^{n^2} bound.