{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T08:58:20Z","timestamp":1648889900935},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"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":[[2011,1]]},"DOI":"10.1007\/s00493-011-2531-9","type":"journal-article","created":{"date-parts":[[2011,8,8]],"date-time":"2011-08-08T05:43:45Z","timestamp":1312782225000},"page":"67-83","source":"Crossref","is-referenced-by-count":1,"title":["Monochromatic integers adding to polynomials of prime variables"],"prefix":"10.1007","volume":"31","author":[{"given":"Hongze","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hao","family":"Pan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,8,9]]},"reference":[{"key":"2531_CR1","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/BF02764948","volume":"67","author":"J. Bourgain","year":"1989","unstructured":"J. Bourgain: On \u039b(p)-subsets of squares, Israel J. Math. 67 (1989), 291\u2013311.","journal-title":"Israel J. Math."},{"key":"2531_CR2","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/BF01896020","volume":"3","author":"J. Bourgain","year":"1993","unstructured":"J. Bourgain: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I: Schr\u00f6dinger equations; Geom. Funct. Anal. 3 (1993), 107\u2013156.","journal-title":"Geom. Funct. Anal."},{"key":"2531_CR3","first-page":"204","volume":"18","author":"P. Erd\u0151s","year":"1977","unstructured":"P. Erd\u0151s and A. S\u00e1rk\u00f6zy: On differences and sums of integers II, Bull. Greek Math. Society 18 (1977), 204\u2013223.","journal-title":"Bull. Greek Math. Society"},{"key":"2531_CR4","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1007\/BF02813304","volume":"31","author":"H. Furstenberg","year":"1977","unstructured":"H. Furstenberg: Ergodic behavior of diagonal measures and a theorem of Szemer\u00e9di on arithmetical progressions, J. d\u2019Analyse Math. 31 (1977), 204\u2013256.","journal-title":"J. d\u2019Analyse Math."},{"key":"2531_CR5","doi-asserted-by":"crossref","first-page":"1609","DOI":"10.4007\/annals.2005.161.1609","volume":"161","author":"B. Green","year":"2005","unstructured":"B. Green: Roth\u2019s theorem in the primes, Ann. Math. 161 (2005), 1609\u20131636.","journal-title":"Ann. Math."},{"key":"2531_CR6","doi-asserted-by":"crossref","first-page":"481","DOI":"10.4007\/annals.2008.167.481","volume":"167","author":"B. Green","year":"2008","unstructured":"B. Green and T. Tao: The primes contain arbitrarily long arithmetic progressions, Ann. Math. 167 (2008), 481\u2013547.","journal-title":"Ann. Math."},{"key":"2531_CR7","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1017\/S0963548305007169","volume":"15","author":"A. Khalfalah","year":"2006","unstructured":"A. Khalfalah and E. Szemer\u00e9di: On the number of monochromatic solutions of x+y=z 2, Combinatorics, Probability and Computing 15 (2006), 213\u2013227.","journal-title":"Combinatorics, Probability and Computing"},{"issue":"4","key":"2531_CR8","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1515\/forum.2010.039","volume":"22","author":"H. Li","year":"2010","unstructured":"H. Li and H. Pan: A density version of Vinogradov\u2019s three primes theorem, Forum Math. 22(4) (2010), 699\u2013714","journal-title":"Forum Math."},{"key":"2531_CR9","doi-asserted-by":"crossref","first-page":"25","DOI":"10.4064\/aa138-1-2","volume":"138","author":"H. Li","year":"2009","unstructured":"H. Li and H. Pan: Difference sets and polynomials of prime variables, Acta Arith. 138 (2009), 25\u201352.","journal-title":"Acta Arith."},{"key":"2531_CR10","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/BF01896079","volume":"31","author":"A. S\u00e1rk\u00f6zy","year":"1978","unstructured":"A. S\u00e1rk\u00f6zy: On difference sets of sequences on integers I, Acta Math. Acad. Sci. Hungar. 31 (1978), 125\u2013149.","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"2531_CR11","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1007\/BF01901984","volume":"31","author":"A. S\u00e1rk\u00f6zy","year":"1978","unstructured":"A. S\u00e1rk\u00f6zy: On difference sets of sequences on integers III, Acta Math. Acad. Sci. Hungar. 31(1978), 355\u2013386.","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"2531_CR12","unstructured":"T. Tao: Some highlights of arithmetic combinatorics, Lecture notes 4: Behrend\u2019s example; Bourgain\u2019s refinement of Roth\u2019s theorem, available at: http:\/\/www.math.ucla.edu\/~tao\/254a.1.03w\/notes5.dvi ."}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00493-011-2531-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00493-011-2531-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00493-011-2531-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T21:32:47Z","timestamp":1559079167000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00493-011-2531-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["2531"],"URL":"https:\/\/doi.org\/10.1007\/s00493-011-2531-9","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1]]}}}