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- W2040885024 abstract "Let p be a prime congruent to −1 modulo 4, (n/p) the Legendre symbol and (S(k) = Sigma _{n = 1}^{p - 1} {text{ }}n^k left( {tfrac{n}{p}} right)). The problem of finding a prime p such that S(3) > 0 was one of the motivating forces behind the development of several of Shanks' ideas for computing in algebraic number fields, although neither he nor D. H. and Emma Lehmer were ever successful in finding such a p. In this extended abstract we summarize some techniques which were successful in producing, for each k such that 3 ≤ k ≤ 2000, a value for p such that S(k) > 0." @default.
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- W2040885024 date "1999-01-01" @default.
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- W2040885024 title "A Problem Concerning a Character Sum" @default.
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- W2040885024 doi "https://doi.org/10.1080/10586458.1999.10504389" @default.
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