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 | References | Similar Articles | Additional Information
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.
- E. D. Cashwell and C. J. Everett, The ring of number-theoretic functions, Pacific J. Math. 9 (1959), 975–985. MR 108510
- Tikao Tatuzawa and Kanesiro Iseki, On Selberg’s elementary proof of the prime-number theorem, Proc. Japan Acad. 27 (1951), 340–342. MR 46382
- S. A. Amitsur, Some results on arithmetic functions, J. Math. Soc. Japan 11 (1959), 275–290. MR 142498, DOI https://doi.org/10.2969/jmsj/01140275
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Keywords:
Tatuzawa-Iseki identity,
rearrangement of sums,
arithmetical functions,
number-theoretic identity
Article copyright:
© Copyright 1970
American Mathematical Society