{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T09:16:19Z","timestamp":1772442979114,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1998,7,1]],"date-time":"1998-07-01T00:00:00Z","timestamp":899251200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1998,7,1]],"date-time":"1998-07-01T00:00:00Z","timestamp":899251200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[1998,7]]},"DOI":"10.1007\/pl00000076","type":"journal-article","created":{"date-parts":[[2006,2,17]],"date-time":"2006-02-17T16:08:24Z","timestamp":1140192504000},"page":"163-177","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["A special case of mahler\u2019s conjecture"],"prefix":"10.1007","volume":"20","author":[{"given":"M. A.","family":"Lopez","sequence":"first","affiliation":[]},{"given":"S.","family":"Reisner","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[1998,7,1]]},"reference":[{"key":"200200163_CR1","first-page":"465","volume":"97","author":"K. Ball","year":"1986","unstructured":"K. Ball. Cube slicing in \u211dn. Proc. Amer. Math. Soc.97 (1986), 465\u2013473.","journal-title":"Proc. Amer. Math. Soc."},{"key":"200200163_CR2","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1007\/BF02574044","volume":"13","author":"K. Ball","year":"1995","unstructured":"K. Ball. Mahler\u2019s conjecture and wavelets. Discrete Comput. Geom.\n13 (1995), 271\u2013277.","journal-title":"Discrete Comput. Geom."},{"key":"200200163_CR3","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1080\/00029890.1979.11994730","volume":"86","author":"D. L. Barrow","year":"1979","unstructured":"D. L. Barrow and P. W. Smith. Spline notation applied to a volume problem. Amer. Math. Monthly\n86 (1979), 50\u201351.","journal-title":"Amer. Math. Monthly"},{"key":"200200163_CR4","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1007\/BF01558600","volume":"70","author":"W. Barthel","year":"1959","unstructured":"W. Barthel. Zum Busemannschen und Brunn-Minkowskischen Satz. Math. Z.\n70 (1959), 407\u2013429.","journal-title":"Math. Z."},{"key":"200200163_CR5","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/BF01470507","volume":"144","author":"W. Barthel","year":"1961","unstructured":"W. Barthel and G. Franz. Eine Verallgemeinerung des Busemannschen Satzes vom Brunn-Minkowskischen Typ. Math. Ann.\n144 (1961), 183\u2013198.","journal-title":"Math. Ann."},{"key":"200200163_CR6","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/BF01388911","volume":"88","author":"J. Bourgain","year":"1987","unstructured":"J. Bourgain and V. D. Milman. New volume ratio properties for convex symmetric bodies in \u211dn. Invent. Math.\n88 (1987), 319\u2013340.","journal-title":"Invent. Math."},{"key":"200200163_CR7","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1073\/pnas.35.1.27","volume":"35","author":"H. Busemann","year":"1949","unstructured":"H. Busemann. A theorem on convex bodies of the Brunn-Minkowski type. Proc. Nat. Acad. Sci. U.SA.\n35 (1949), 27\u201331.","journal-title":"Proc. Nat. Acad. Sci. U.SA."},{"key":"200200163_CR8","volume-title":"Geometric Tomography","author":"R. J. Gardner","year":"1995","unstructured":"R. J. Gardner. Geometric Tomography. Cambridge University Press, Cambridge, 1995."},{"key":"200200163_CR9","first-page":"273","volume":"104","author":"Y. Gordon","year":"1988","unstructured":"Y. Gordon, M. Meyer, and S. Reisner. Zonoids with minimal volume-product\u2014a new proof. Proc. Amer. Math. Soc.\n104 (1988), 273\u2013276.","journal-title":"Proc. Amer. Math. Soc."},{"key":"200200163_CR10","first-page":"118","volume":"B7","author":"K. Mahler","year":"1939","unstructured":"K. Mahler. Ein Minimalproblem f\u00fcr konvexe Polygone. Mathematica (Zutphen)\nB7 (1939), 118\u2013127.","journal-title":"Mathematica (Zutphen)"},{"key":"200200163_CR11","doi-asserted-by":"publisher","first-page":"93","DOI":"10.21136\/CPMF.1939.109441","volume":"68","author":"K. Mahler","year":"1939","unstructured":"K. Mahler. Ein \u00dcbertragungsprinzip f\u00fcr knovexe K\u00f6rper. \u010casopis P\u011bst. Mat. Fys.\n68 (1939), 93\u2013102.","journal-title":"\u010casopis P\u011bst. Mat. Fys."},{"issue":"1","key":"200200163_CR12","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1145\/204865.204889","volume":"38","author":"K. Mehlhorn","year":"1995","unstructured":"K. Mehlhorn and S. N\u00e4her. LEDA, a platform for combinatorial and geometric computing. Comm. ACM\n38(1) (1995), 96\u2013102.","journal-title":"Comm. ACM"},{"key":"200200163_CR13","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1007\/BF02765029","volume":"55","author":"M. Meyer","year":"1986","unstructured":"M. Meyer. Une charact\u00e9risation volumique de certains espaces norm\u00e9s de dimension finie. Israel J. Math.\n55 (1986), 317\u2013326.","journal-title":"Israel J. Math."},{"key":"200200163_CR14","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1112\/blms\/20.2.151","volume":"20","author":"M. Myer","year":"1988","unstructured":"M. Myer. A volume inequality concerning sections of convex sets. Bull. London Math. Soc.\n20 (1988), 151\u2013155.","journal-title":"Bull. London Math. Soc."},{"key":"200200163_CR15","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1007\/BF01164009","volume":"192","author":"S. Reisner","year":"1986","unstructured":"S. Reisner. Zonoids with minimal volume-product. Math. Z.\n192 (1986), 339\u2013346.","journal-title":"Math. Z."},{"key":"200200163_CR16","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1112\/jlms\/s2-36.1.126","volume":"36","author":"S. Reisner","year":"1987","unstructured":"S. Reisner. Minimal volume-product in Banach spaces with a 1-unconditional basis. J. London Math. Soc.\n36 (1987), 126\u2013136.","journal-title":"J. London Math. Soc."},{"key":"200200163_CR17","volume-title":"S\u00e9minaire d\u2019Initiation \u00e0 l\u2019Analyse","author":"J. Saint Raymond","year":"1980","unstructured":"J. Saint Raymond.Sur le volume des corps convexes sym\u00e9triques. In: S\u00e9minaire d\u2019Initiation \u00e0 l\u2019Analyse, Univ. Pierre et Marie Curie, Paris, 1980\/81, vol. 11, 25 pp."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/PL00000076.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/PL00000076\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/PL00000076","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/PL00000076.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,18]],"date-time":"2024-04-18T05:02:56Z","timestamp":1713416576000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/PL00000076"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,7]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,7]]}},"alternative-id":["200200163"],"URL":"https:\/\/doi.org\/10.1007\/pl00000076","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,7]]},"assertion":[{"value":"28 May 1996","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 November 1996","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 July 1998","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}