Titlebook: Basic Analytic Number Theory; Anatolij A. Karatsuba,Melvyn B. Nathanson Book 1993 Springer-Verlag Berlin Heidelberg 1993 Analytic Number T

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Dirichlet L-Functions,e numbers in an arithmetic progression with difference .≥ 1 and initial term ., where 1≤ .≤ . and(.)=1. This problem is important not only because it generalizes a classical result, but also because it has exceptional importance for the solution of many additive problems in prime number theory (for

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,Waring’s Problem,f the solvability in natural numbers .., ..,…,.. of the equation.where . ≥3 and .(.) (Waring’s problem). Waring’s problem generalizes Lagrange’s theorem that every natural number is the sum of four squares.

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Book 1993English edition, the author has considerably rewritten Chapter I, and has corrected various typographical and other minor errors throughout the the text. August, 1991 Melvyn B. Nathanson Introduction to the English Edition It gives me great pleasure that Springer-Verlag is publishing an English tran

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. For the English edition, the author has considerably rewritten Chapter I, and has corrected various typographical and other minor errors throughout the the text. August, 1991 Melvyn B. Nathanson Introduction to the English Edition It gives me great pleasure that Springer-Verlag is publishing an En

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