Titlebook: Studies in Pure Mathematics; To the Memory of Pau Paul Erdős,László Alpár,András Sárközy Book 1983 Springer Basel AG 1983 algebra.analytic

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Subsequences of primes in residue classes to prime moduli,In a recent paper [1] the author proved that in order for a strongly-additive arithmetic function .(.) to satisfy.for some constant .. and all . ≧ 1, it is both necessary and sufficient that there be a further constant . so that the series.be convergent. An important part in the proof was played by an inequality of the type.with

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On sums and products of integers,Let 1 ≦ .. <... <.. be a sequence of integers Consider the integers of the form

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