{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,11]],"date-time":"2025-07-11T10:17:12Z","timestamp":1752229032491},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1990,6,1]],"date-time":"1990-06-01T00:00:00Z","timestamp":644198400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinatorica"],"published-print":{"date-parts":[[1990,6]]},"DOI":"10.1007\/bf02123006","type":"journal-article","created":{"date-parts":[[2005,9,14]],"date-time":"2005-09-14T11:22:12Z","timestamp":1126696932000},"page":"115-136","source":"Crossref","is-referenced-by-count":32,"title":["Geometric methods in the study of irregularities of distribution"],"prefix":"10.1007","volume":"10","author":[{"given":"R.","family":"Alexander","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02123006_CR1","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1007\/BF01896964","volume":"23","author":"R. Alexander","year":"1972","unstructured":"R. Alexander: On the sum of distances betweenn points on a sphere,Acta Math. Acad. Sci. Hungar.,23 (1972), 443\u2013448.","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"BF02123006_CR2","doi-asserted-by":"crossref","first-page":"297","DOI":"10.2140\/pjm.1975.56.297","volume":"56","author":"R. Alexander","year":"1975","unstructured":"R. Alexander: Generalized sums of distances,Pacific Jour. Math.,56 (1975), 297\u2013304.","journal-title":"Pacific Jour. Math."},{"key":"BF02123006_CR3","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/BF01895852","volume":"29","author":"R. Alexander","year":"1977","unstructured":"R. Alexander: On the sum of distances betweenn points on a sphere. II,Acta Math. Acad. Sci. Hungar.,29 (1977), 317\u2013320.","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"BF02123006_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2140\/pjm.1979.85.1","volume":"85","author":"R. Alexander","year":"1979","unstructured":"R. Alexander: Metric averaging in Euclidean and Hilbert spaces,Pacific Jour. Math.,85 (1979), 1\u20139.","journal-title":"Pacific Jour. Math."},{"key":"BF02123006_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0002-9947-1974-0350629-3","volume":"193","author":"R. Alexander","year":"1973","unstructured":"R. Alexander, andK. B. Stolarsky: Extremal problems of distance geometry related to energy integrals,Trans. Amer. Soc.,193 (1973), 1\u201331.","journal-title":"Trans. Amer. Soc."},{"key":"BF02123006_CR6","first-page":"33","volume":"31","author":"J. Beck","year":"1984","unstructured":"J. Beck: Sums of distances between points on a sphere \u2014 an application of the theory of irregularities of distribution to discrete geometry,Mathematica,31 (1984), 33\u201341.","journal-title":"Mathematica"},{"key":"BF02123006_CR7","volume-title":"Cambridge Tracts in Mathematics,89","author":"J. Beck","year":"1987","unstructured":"J. Beck, andW. W. L. Chen:Irregularities of distribution, Cambridge Tracts in Mathematics,89, Cambridge University Press, Cambridge, 1987."},{"key":"BF02123006_CR8","volume-title":"Uniform distribution of sequences","author":"L. Kuipers","year":"1974","unstructured":"L. Kuipers, andH. Niederreiter:Uniform distribution of sequences, John Wiley, New York,1974."},{"key":"BF02123006_CR9","first-page":"73","volume":"1","author":"K. F. Roth","year":"1954","unstructured":"K. F. Roth: On irregularities of distribution,Mathematica,1 (1954), 73\u201379.","journal-title":"Mathematica"},{"key":"BF02123006_CR10","volume-title":"Encyclopedia of Mathematics and its Applications,1","author":"L. A. Santal\u00f3","year":"1976","unstructured":"L. A. Santal\u00f3:Integral geometry and geometric probability, Encyclopedia of Mathematics and its Applications,1, Addison-Wesley, Reading, Mass., 1976."},{"key":"BF02123006_CR11","doi-asserted-by":"crossref","first-page":"787","DOI":"10.2307\/1968835","volume":"38","author":"I. J. Schoenberg","year":"1937","unstructured":"I. J. Schoenberg: On certain metric spaces arising from Euclidean spaces by change of metric and their embedding in Hilbert space,Ann. of Math.,38 (1937), 787\u2013793.","journal-title":"Ann. of Math."},{"key":"BF02123006_CR12","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/BF01418774","volume":"7","author":"W. M. Schmidt","year":"1969","unstructured":"W. M. Schmidt: Irregularities of distribution. IV,Invent. Math.,7 (1969), 55\u201382.","journal-title":"Invent. Math."},{"key":"BF02123006_CR13","doi-asserted-by":"crossref","first-page":"45","DOI":"10.4064\/aa-21-1-45-50","volume":"21","author":"W. M. Schmidt","year":"1972","unstructured":"W. M. Schmidt: Irregularities of distribution. VII,Acta Arith.,21 (1972), 45\u201350.","journal-title":"Acta Arith."},{"key":"BF02123006_CR14","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1090\/S0002-9939-1972-0303418-3","volume":"35","author":"K. B. Stolarsky","year":"1972","unstructured":"K. B. Stolarsky: Sums of distances between points on a sphere,Proc. Amer. Math Soc.,35 (1972), 547\u2013549.","journal-title":"Proc. Amer. Math Soc."},{"key":"BF02123006_CR15","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1090\/S0002-9939-1973-0333995-9","volume":"41","author":"K. B. Stolarsky","year":"1973","unstructured":"K. B. Stolarsky: Sums of distances between points on a sphere. II,Proc. Amer. Math. Soc.,41 (1973), 575\u2013582.","journal-title":"Proc. Amer. Math. Soc."},{"key":"BF02123006_CR16","first-page":"203","volume":"48","author":"K. B. Stolarsky","year":"1975","unstructured":"K. B. Stolarsky: Spherical distributions ofn points with maximal distance sums are well spaced,Proc. Amer. Math. Soc.,48 (1975), 203\u2013206.","journal-title":"Proc. Amer. Math. Soc."},{"key":"BF02123006_CR17","doi-asserted-by":"crossref","unstructured":"K. B.Stolarsky:Discrepancy and sums of distances between points of a metric space, The geometry of metric and linear spaces, Ed. L. M. Kelly, Springer-Verlag,1975, 44\u201355.","DOI":"10.1007\/BFb0081130"},{"key":"BF02123006_CR18","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/BF01475864","volume":"77","author":"H. Weyl","year":"1916","unstructured":"H. Weyl: \u00dcber die Gleichverteilung von Zahlen mod. Eins,Math. Ann.,77 (1916), 313\u2013352.","journal-title":"Math. Ann."}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02123006.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02123006\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02123006","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T01:22:34Z","timestamp":1557796954000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02123006"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,6]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1990,6]]}},"alternative-id":["BF02123006"],"URL":"https:\/\/doi.org\/10.1007\/bf02123006","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,6]]}}}