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The main result gives a construction of a convex set\n                    <jats:italic>A<\/jats:italic>\n                    containing\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\Omega (|A|^{3\/2})$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mrow>\n                            <mml:mi>\u03a9<\/mml:mi>\n                            <mml:mo>(<\/mml:mo>\n                            <mml:mo>|<\/mml:mo>\n                            <mml:mi>A<\/mml:mi>\n                            <mml:msup>\n                              <mml:mo>|<\/mml:mo>\n                              <mml:mrow>\n                                <mml:mn>3<\/mml:mn>\n                                <mml:mo>\/<\/mml:mo>\n                                <mml:mn>2<\/mml:mn>\n                              <\/mml:mrow>\n                            <\/mml:msup>\n                            <mml:mo>)<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    three-term arithmetic progressions.\n                  <\/jats:p>","DOI":"10.1007\/s00493-026-00200-7","type":"journal-article","created":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T10:07:45Z","timestamp":1769594865000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Additive Structure in Convex Sets"],"prefix":"10.1007","volume":"46","author":[{"given":"Thomas F.","family":"Bloom","sequence":"first","affiliation":[]},{"given":"Jakob","family":"F\u00fchrer","sequence":"additional","affiliation":[]},{"given":"Oliver","family":"Roche-Newton","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2026,1,28]]},"reference":[{"issue":"3","key":"200_CR1","doi-asserted-by":"publisher","DOI":"10.1112\/mtk.12263","volume":"70","author":"K Bhowmick","year":"2024","unstructured":"Bhowmick, K., Lund, B., Roche-Newton, O.: Large convex sets in difference sets. 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