Publication Date:
2002-05-01
Description:
This paper concerns systems of r homogeneous diagonal equations of degree k in s variables, with integer coefficients. Subject to a suitable non-singularity condition, it is shown that the expected asymptotic formula holds for the number of such systems inside a box [−P,P]s, provided only that s 〉 (3r+1)2k−2. By way of comparison, classical methods based on the use of Hua's lemma would establish a similar conclusion, provided instead that s 〉 r2k.
Print ISSN:
0024-6093
Electronic ISSN:
1469-2120
Topics:
Mathematics
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