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PreprintarXiv licencearXiv

Sharp Bounds for Limits of N-Point Correlation

Abstract

We consider the question which functions f may appear as limiting functions of the N-point correlation. We obtain sharp point-wise lower and upper bounds. The explicit examples constructed to show the sharpness of the bounds are based on van der Corput sequences.

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BibTeX
@misc{weiß2026sharp,
  title = {{Sharp Bounds for Limits of $N$-Point Correlation}},
  author = {Christian Weiß},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13468},
  eprint = {2610.13468},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13468},
}
RIS
TY  - UNPB
TI  - Sharp Bounds for Limits of N-Point Correlation
AU  - Christian Weiß
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13468
UR  - https://arxiv.org/abs/2610.13468
AB  - We consider the question which functions f may appear as limiting functions of the N-point correlation. We obtain sharp point-wise lower and upper bounds. The explicit examples constructed to show the sharpness of the bounds are based on van der Corput sequences.
ER  -