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Facts from analysis
Additive problem? with an increasing and an infinite
applications to number theory
4 other sections not shown
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Abel's transformation absolute constant absolutely convergent additive function additive problem analogous analytic number theory arithmetical functions Assume asymptotic density asymptotic formula asymptotic law canonical decomposition Chapter characteristic functions characteristic transform class B1 coefficients Consider continuous function countable countable set defined Delange's theorem denote the number Dirichlet series distribution of primes distribution of values divisors equal Erdos estimate exists Fainleib finite following result function f(n hence implies integral interval Kubilius Lemma lemma is proved limit lim limit theorem Math method Mobius function multiplicative functions n<JV n<x n<x n=l n=l natural argument natural numbers nondecreasing Novoselov number of solutions obtain pa<N periodic functions Pm(x polyadic numbers polynomial power series PROOF proved the following real number remainder term satisfies semigroup sufficiently large summation Suppose f(n Tauberian theorem theorem is proved tm(x trigonometric sums weakly convergent Wintner zero