منابع مشابه
New results in equal sums of like powers
This paper reports on new results for the equation
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متن کاملSimultaneous equal sums of three powers
Using a result of Salberger [9] we show that the number of non-trivial positive integer solutions x0, . . . , x5 6 B to the simultaneous equations x0 + x c 1 + x c 2 = x c 3 + x c 4 + x c 5, x d 0 + x d 1 + x d 2 = x d 3 + x d 4 + x d 5, is o(B) whenever d > max{2, c}. Mathematics Subject Classification (2000): 11D45 (11D41, 11P05)
متن کاملOn equal sums of ninth powers
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متن کاملEqual sums of like polynomials
Let f ∈ Z[x] be a polynomial of degree d. We establish the paucity of non-trivial positive integer solutions to the equation f(x1) + f(x2) = f(x3) + f(x4), provided that d ≥ 7. We also investigate the corresponding situation for equal sums of three like polynomials. Mathematics Subject Classification (2000): 11D45 (11P05)
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1949
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500002698