Geodesic
The Empty Sphere
Canadian journal of mathematics, Tome 39 (1987) no. 4, pp. 794-824

Voir la notice de l'article provenant de la source Cambridge University Press

In 1924 at the Toronto meeting of the International Congress of Mathematicians, B. N. Delone introduced his empty sphere method for lattices. We have titled our paper after this method as a tribute to his memory.We have studied the sets of integer solutions of equations of the form 1 where f satisfies the following condition in which Z denotes the integers, 2 and have resolved this problem using the theory of L-types of lattices [3, 4, 11]. We have been able to give a complete description of all such integer solutions when n ≦ 4. 
Erdahl, R. M.; Ryshkov, S. S. The Empty Sphere. Canadian journal of mathematics, Tome 39 (1987) no. 4, pp. 794-824. doi: 10.4153/CJM-1987-039-7
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