Sunto.
Si risponde negativamente a due questioni recentemente poste dal Mahler nella teoria aritmetica dei domini piani a stella. dimostrando che due certi limiti superiori a questi associati non risultano finiti.
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K. Mahler;On lattice points in two dimensional star domains (I); Proceedings of London Mathematical Society, (2), 49 (1946), pp. 128–157.On lattice points in n-dimensional star bodies (I); Proceedings of Royal Society, A 187 (1946), p. 151.
K. Mahler:On lattice points in n-dimensional star bodies (II); Proceedings of Koninklijke Nederlandsche Akademie van Wetenscappen, Vol. XLIX (1946), N°. 6.
See (2) p. 447.K. Mahler considers the generaln-dimensional case.
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Mullineux, N. On two problems of k. mahler on irreducible star domains. Annali di Matematica 26, 375–382 (1947). https://doi.org/10.1007/BF02415384
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DOI: https://doi.org/10.1007/BF02415384