Titlebook: Number Theory Related to Fermat’s Last Theorem; Proceedings of the c Neal Koblitz Conference proceedings 1982 Springer Science+Business Med

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On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves,The theory of automorphic forms of 1/2-integral weight has attracted a considerable amount of attention in recent years. The striking difference between the case of integral and 1/2-integral weight is the fact that the Fourier coefficients of 1/2-integral weight forms are expressible in terms of the values of L-functions.

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,Remarks on Equations Related to Fermat’s Last Theorem,For odd k, define θ(k) as the least value of s such that.has a non-trivial Solution over the integers. Fermat’s Last Theorem impl ies that θ(k) > 3 for odd k > 3.

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The Cubic Thue Equation,Fix.a cubic form with non-zero discriminant; and let

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https://doi.org/10.1007/978-1-4899-6699-5boundary element method; number theory; theorem

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Some Remarks on Weierstrass Points,on S, different from 0, which vanishes at p to order at least g. The set of Weierstrass points on S is nonempty and finite; indeed, each Weierstrass point is assigned a positive integer called the Weierstrass weight, and then one has the result that the sum of the weights of all Weierstrass points on S is (g?l)g(g+l).

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978-0-8176-3104-8Springer Science+Business Media New York 1982

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