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- W2953119911 abstract "In 1966, Shanks and Schmid investigated the asymptotic behavior of the number of positive integers less than or equal to x which are represented by the quadratic form X 2+nY 2. Based on some numerical computations, they observed that the constant occurring in the main term appears to be the largest for n=2. In this paper, we prove that in fact this constant is unbounded as n runs through positive integers with a fixed number of prime divisors." @default.
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- W2953119911 date "2011-09-02" @default.
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- W2953119911 title "Principal forms X 2+nY 2 representing many integers" @default.
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- W2953119911 doi "https://doi.org/10.1007/s12188-011-0059-y" @default.
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