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

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https://doi.org/10.1007/978-1-4612-2418-1Diophantine approximation; calculus; number theory

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Linear Diophantine Problems,The Frobenius number .(..) Let ... IN with .(..) = 1, n. If .we call this a representation or a g-representation of n by Ak (in order to distinguish between several types of representations that will be considered in the sequel). Then the Frobenius number .(..) is the greatest integer with no .-representation.

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,A Remark on a Paper of Erd?s and Nathanson,A set A of integers is said to be an . if every sufficiently large integer can be represented as a sum of . (not necessarily instinct) elements of A. In a recent paper [ENJ, Erd?s and Nathanson prove the following interesting result.

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Towards a Classification of Hilbert Modular Threefolds,We begin with the classical (full) modular group and variety of which Hilbert modular groups and varieties are generalizations.