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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Identities involving products of number-theoretic functions


Author: R. G. Buschman
Journal: Proc. Amer. Math. Soc. 25 (1970), 307-309
MSC: Primary 10.43
DOI: https://doi.org/10.1090/S0002-9939-1970-0262190-4
MathSciNet review: 0262190
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Abstract: General number-theoretic identities which involve various multiplications are given. The Tatuzawa-Iseki identity which occurs in certain elementary proofs of the Prime Number Theorem is included as a special case.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0262190-4
Keywords: Tatuzawa-Iseki identity, rearrangement of sums, arithmetical functions, number-theoretic identity
Article copyright: © Copyright 1970 American Mathematical Society