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Bombieri and U. Zannier,\n                      A note on squares in arithmetic progressions\n                      , II, Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, 13 (2002), pp. 69-75."},{"key":"atypb5","first-page":"179","volume":"12","author":"Burgess D. A.","year":"1962","journal-title":"Proc. LMS"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-97-00195-1"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-1236(03)00073-9"},{"key":"atypb8","doi-asserted-by":"crossref","unstructured":"J. Cilleruelo and A. Granville,\n                      Lattice points on circles, squares in arithmetic progressions and sumsets of squares\n                      , Additive Combinatorics, 43 (2007), Amer. Math. 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Schoen and I. D. Shkredov,\n                      Character sums estimates and an application to a problem of Balog\n                      , preprint,arxiv:2004.01885v1, 2020,htpps:\/\/arxiv.org\/abs\/2004.01885v1."},{"key":"atypb23","first-page":"35","volume":"74","author":"Shkredov I. D.","year":"2013","journal-title":"Trans. MMS"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-009-9179-x"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1007\/BF02579194"},{"key":"atypb26","doi-asserted-by":"crossref","unstructured":"J. H. Silverman,\n                      The Arithmetic of Elliptic Curves\n                      , Graduate Texts in Mathematics 106, 2nd ed., Springer-Verlag, New York, 2009.","DOI":"10.1007\/978-0-387-09494-6"},{"key":"atypb27","unstructured":"T. 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