Titlebook: Analytic Number Theory and Diophantine Problems; Proceedings of a Con A. C. Adolphson,J. B. Conrey,R. I. Yager Conference proceedings 1987

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liaison

,Another Note on Baker’s Theorem,Recently G. Wüstholz [5], [6] proved a theorem in transcendence which includes and greatly extends many classical results. In particular it generalizes Baker’s famous theorem [2] on linear forms in logarithms, and places it within the context of arbitrary commutative group varieties.

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Sums of Polygonal Numbers,Let m ≥ 1. The k-th polygonal number of order m+2 is the sum of the first k terms of the arithmetic progression 1, 1+m, l+2m, l+3m,… The polygonal numbers of orders 3 and 4 are the triangular numbers and squares, respectively.

合唱团

On the Density of B2-Bases,A sequence . of positive integers is called a Sidon sequence or a B.-sequence if the pairwise sums are all distinct. If, in addition every non-zero integer appears in the set of differences we call . a B.-basis.

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Statistical Properties of Eigenvalues of the Hecke Operators,Two basic questions concerning the Ramanujan τ-function concern the size and variation of these numbers:

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https://doi.org/10.1007/978-1-4612-4816-3analytic number theory; number theory; prime number

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978-1-4612-9173-2Birkhäuser Boston 1987

青少年

Jake T. Lussier,Nitesh V. Chawlagebraic numbers in order to show that algebraic numbers cannot be approximated too well by rational numbers. In particular we will give special attention to the problem of obtaining effective measures of irrationality, or types, for various classes of algebraic numbers.

critique

Peter Auer,Shiau Hong Lim,Chris Watkinsinear equations. Our purpose here is to illustrate the use of this new version of Siegel’s lemma in the problem of constructing a simple type of auxiliary polynomial. More precisely, let . be an algebraic number field, O. its ring of integers, α.,α.,…,α. distinct, nonzero algebraic numbers (which ar

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