The Number of Bi-Unitary Divisors of an Integer-II

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Authors

  • Department of Mathematics, University of Georgia, Athens, GA. 30602 ,GR
  • Department of Mathematics, Andhra University, Waltair ,IN

Abstract

It is well-known that a divisor d > 0 of the positive integer n is called unitary, if dδ = n and (d, δ) = 1. For integers a, b not both zero, let the symbol (a, b)** denote the greatest unitary divisor of both a and b. A divisor d>0 of the positive integer n is called bi-unitary, if dδ = n and (d, δ)** = 1.

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Published

1975-12-01

How to Cite

Suryanarayana, D., & Sita Rama Chandra Rao, R. (1975). The Number of Bi-Unitary Divisors of an Integer-II. The Journal of the Indian Mathematical Society, 39(1-4), 261–280. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16651

 

References

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G. A. KOLESNIK, An improvement of the remainder term in the divisors problem, Mat. Zametki 6(1969), 545-554=M«/A. Notes of Sciences of the USSR 6 (1969), 784-791.

D. SURYANARAYANA, The number of bi-unitary divisors of an integer, Lecture notes in Mathematics, Vol. 251, The Theory of Arithmetic Functions, Springer-Verlag, Berlin-Heidelberg-New York, 1972, pp. 273-282.

D. SURYANARAYANA AND R. SITA RAMA CHANDRA RAO, Distribution of Unitarily £-free integers, J. Austral. Math. Soc. 20 (1975), 129-141.