Abstract

The study of the distribution of various number theoretic functions in arithmetic progressions has long been a topic of concern and has in recent years received new impetus from outside sources such as exponential sums over varieties [D, B, H] and from those occurring in the theory of auto- morphic forms [D-I]. Particular examples are squarefree numbers [HB1], primes [Fo-I, B-F-I] and divisor functions [Fo, F-Il, F-I2, HB2].

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