Titlebook: Number Theory; New York Seminar 199 David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B Book 1996 Springer-Verlag New York, Inc. 1996 Diopha

協(xié)迫

Sums of Four Squares,eneralization. There are two types of questions to be considered: . — how can one compute representations of a number as a sum of two or four (or possibly some other number) of squares? — and . — is there a structure on the set of representations that allows their number to be determined in an elementary manner?

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稀釋前

Sum Set Cardinalities of Line Restricted Planar Sets,ge |X|, then c=1 suffices for 2 ≤ X < 3, and any value of c < (4-λ)/2 suffices for 3 ≤ λ < 4. At the same time, if (4-λ)/2=l/. for .∈ {1,2,…}, then no value of c > 1/k can give the desired result, even when |X| is restricted to be large.

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978-0-387-94826-3Springer-Verlag New York, Inc. 1996