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The number of pairs of generalized integers with L.C.M. ≦ x

Published online by Cambridge University Press:  09 April 2009

D. Suryanarayana  and
V. Siva Rama Prasad
D. Suryanarayana
Affiliation:
Department of Mathematics, Andhra University, Waltair, A.P., India
V. Siva Rama Prasad
Affiliation:
Department of Mathematics, Andhra University, Waltair, A.P., India
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Generalized integers are defined in {2] as follows: Suppose there is given a finite or infinite sequence {p} of real numbers which are called generalized primes such that 1 < p1 < p2 < …. Form the set {l} of all possible p-products, i.e. the products of the form where are integers ≧ 0 of which all but a finite number are 0. Call these numbers generalized integers and suppose that no two generalized integers are equal if their α's are different. Then arrange {l} in an increasing sequence I = l1 < l2 < l3 < … < ln < ….

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 4 , June 1972 , pp. 411 - 416
Copyright
Copyright © Australian Mathematical Society 1972

References

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