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Some restricted partition functions: Congruences modulo 3

Published online by Cambridge University Press:  09 April 2009

D. B. Lahiri
D. B. Lahiri
Affiliation:
Indian Statistical Institute Calcutta
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In a previous communication [5] the author has dealt with the congruence properties of some restricted partition functions. The general category of such functions may be denoted.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 1 , February 1970 , pp. 82 - 90
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Hardy, G. H., Ramanujan (Cambridge, 1940).Google Scholar
[2]Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers (Oxford, 4th ed. 1960).Google Scholar
[3]Lahiri, D. B., ‘On a type of series involving the partition function with applications to certain congruence relations’, Bull. Calcutta Math. Soc. 38 (1946), 125–132.Google Scholar
[4]Lahiri, D. B., ‘On Ramanujan's function τ(n) and the divisor function σk(n), I’, Bull. Calcutta Math. Soc. 38 (1946), 193–206.Google Scholar
[5]Lahiri, D. B., ‘Some restricted partition function: congruences modulo 5’, Jour. Austr. Math. Soc. 9 (1969), 424–432.CrossRefGoogle Scholar
[6]Ramanujan, S., Collected Papers (Cambridge 1927, and Chelsea Publishing Company, New York, 1962).Google Scholar
[7]Watson, G. N., ‘Über Ramanujansche Kongruenzeigenschaften der Zerfällungsanzahlen’, Math. Z. 39 (1935), 712–731.CrossRefGoogle Scholar