Titlebook: Geometric and Analytic Number Theory; Edmund Hlawka,Rudolf Taschner,Johannes Schoi?engei Textbook 1991 Springer-Verlag Berlin Heidelberg 1

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The Dirichlet Approximation Theorem,— the natural numbers 1,2,3 … are the only data which the mathematician knows he has to hand. His lack of control over the real numbers, that is points on the continuous real line is already plain from elementary examples — thus the sum . + π cannot in the end, that is with complete exactness, be wo

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Geometry of Numbers, one passes from number spaces to vector spaces, the concept of an integer in the one-dimensional case and that of an integral .-tuple in ?. generalises to the natural concept of a lattice. If . linearly independent vectors a.,…,a. are given in an .-dimensional vector space ., by the . . = .(a.,...,

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Number Theoretic Functions,ave been seen to be helpful. From now on the reverse problem will be attacked: number theoretic functions, the calculation of which for large values is severely limited because of the irregularity of their behaviour, will be represented approximately by known functions from differential and integral

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Textbook 1991th the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap- proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al- ready studie

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