Author:
Erdahl R. M.,Ryshkov S. S.
Abstract
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 form1where f satisfies the following condition in which Z denotes the integers,2and 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.
Publisher
Canadian Mathematical Society
Cited by
17 articles.
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