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The first Smarandache constant is defined as
Cojocaru and Cojocaru (1996b) prove that the second Smarandache constant
Cojocaru and Cojocaru (1996c) prove that the series
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Sandor (1997) shows that the series
See also Smarandache Function
References
Burton, E. ``On Some Series Involving the Smarandache Function.'' Smarandache Notions J. 6, 13-15, 1995.
Burton, E. ``On Some Convergent Series.'' Smarandache Notions J. 7, 7-9, 1996.
Cojocaru, I. and Cojocaru, S. ``The First Constant of Smarandache.'' Smarandache Notions J. 7, 116-118, 1996a.
Cojocaru, I. and Cojocaru, S. ``The Second Constant of Smarandache.'' Smarandache Notions J. 7, 119-120, 1996b.
Cojocaru, I. and Cojocaru, S. ``The Third and Fourth Constants of Smarandache.'' Smarandache Notions J. 7, 121-126, 1996c.
``Constants Involving the Smarandache Function.''
http://www.gallup.unm.edu/~smarandache/CONSTANT.TXT.
Dumitrescu, C. and Seleacu, V. ``Numerical Series Involving the Function
Ibstedt, H. Surfing on the Ocean of Numbers--A Few Smarandache Notions and Similar Topics.
Lupton, AZ: Erhus University Press, pp. 27-30, 1997.
Sandor, J. `On The Irrationality Of Certain Alternative Smarandache Series.'' Smarandache Notions J. 8, 143-144, 1997.
Smarandache, F. Collected Papers, Vol. 1. Bucharest, Romania: Tempus, 1996.
Smarandache, F. Collected Papers, Vol. 2. Kishinev, Moldova: Kishinev University Press, 1997.
.'' The Smarandache Function.
Vail: Erhus University Press, pp. 48-61, 1996.
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© 1996-9 Eric W. Weisstein