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

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Authors

  • D. Suryanarayana
     Department of Mathematics, University of Georgia, Athens, GA. 30602 ,GR
  • R. Sita Rama Chandra Rao
     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://informaticsjournals.co.in/index.php/jims/article/view/16651

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 D. Suryanarayana, R. Sita Rama Chandra Rao

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

B. GORDON AND K. ROGERS, Sums of the divisor function, Canad. J. Math. 16(1964), 151-158.

G. H. HARDY AND E. M. WRIGHT, An introduction to the Theory of Numbers, Fourth edition, The Clarendon Press, Oxford, 1965.

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.