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Small solutions of additive cubic congruences

✍ Scribed by R. Dietmann


Publisher
Springer
Year
2000
Tongue
English
Weight
53 KB
Volume
75
Category
Article
ISSN
0003-889X

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It is known that a system of two additive equations of degree k with greater than 4k variables has a non-trivial p-adic solution for all p>k 6 . The purpose of this paper is to improve this result to p>3k 4 . A considerable modification of the standard method of exponential sums is introduced which