The Journal of the Indian Mathematical Society

D. Suryanarayana ¹, R. Sita Rama Chandra Rao ²

Affiliations
1 Department of Mathematics, University of Georgia, Athens, GA. 30602, GR
2 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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D. Suryanarayana ¹, N. Venkateswara Rao ¹

Affiliations
1 Department of Mathematics, Andhra University, Waltair, IN

Abstract

Andre Schinzel [1] proved that the equation 3/(2n + 1) = 1/x + l/y + 1/z is solvable for any fixed integer n > 1 in three distinct odd positive integers x, y. z. Here our object is to specify certain distinct odd positive integral solutions for the above equation and to discuss the solvability.

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