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**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 278.10047

**Autor: ** Erdös, Paul; Babu, Gutti Jogesh; Ramachandra, K.

**Title: ** An asymptotic formula in additive number theory. (In English)

**Source: ** Acta Arith. 28, 405-412 (1976).

**Review: ** Let **{**b_{j} **}** be a sequence of natural numbers satisfying 3 \leq b_{1} < b_{2} < b_{3} ... ,(b_{i},b_{j}) = 1 if i \ne j and also let **sum** b^{-1}_{i} be convergent. Let **{**d_{j} **}** be the sequence of all natural numbers not divisible by any b_{j}. Then given any natural number n an asymptotic formula for the number of solutions of n = p+d is developed where p runs through primes and d through the number of the sequence **{**d_{j} **}**. Some other questions which deal with relaxation of conditions on **{**b_{j} **}** are also discussed.

**Classif.: ** * 11P32 Additive questions involving primes

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