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More sum-product type counterexamples: products with shifts and AA+A

Roche-Newton, Oliver, Schildkraut, Carl, Warren, AudiearXiv.orgPublished Jun 23, 2026Original︎ ↗Archived copy

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Title: More sum-product type counterexamples: products with shifts and $AA+A$0 passages
Authors: Oliver Roche-Newton , Carl Schildkraut , Audie Warren10 passages
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The sum-product problem has seen some remarkable progress recently, with the refutation of the sum-product conjecture over the reals by Bloom, Sawin, Schildkraut and Zhelezov [3].

Erdős's sum-product conjecture is false for real numbers but remains open for integers.Supported

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Record

Kind
unknown
Authors
Roche-Newton, Oliver, Schildkraut, Carl, Warren, Audie
Publisher
arXiv.org
Published
Jun 23, 2026
DOI
None
Link
https://arxiv.org/abs/2606.24583
Archived copy
https://web.archive.org/web/20260630191501/https://arxiv.org/abs/2606.24583
Stored text
3,923 characters, retrieved Nov 11, 2026 · 44 sections, 55 passages
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Not recorded
Versions
One known
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None recorded
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None recorded
Facts checked
Nov 11, 2026

History 3

  1. Nov 11, 2026DividedSegmenter · Divided into 99 parts by its own structure
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  3. Nov 11, 2026Entered the graphEntered the graph; copy stored