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5 results on '"Behforooz A"'

2. Problems

Author

Ross, Peter, Schmidt, Frank, Scott, Paul R., Krusemeyer, Mark, Klamkin, Murray S., Schaumberger, Norman, Rade, Lennart, Recaman, Bernardo, Zielinski, Michael, Marston, Helen M., Sastry, K. R. S., Wardlaw, William P., Martin, Reiner, Callan, David, Ford, Kevin, Lord, N. J., Pedersen, Allan, Behforooz, G., and Koster, David W.

Published
1990
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3. Problems

Author

Recaman, Bernardo, Zielinski, Michael, Sastry, K. R. S., Wardlaw, William P., Callan, David, Lord, N. J., Behforooz, G., Ruderman, Harry D., Palmer, Chester, Feuerman, Martin, Miller, Allen R., Shan, Zun, Oman, John, Martin, Nicholas A., Kitchen, Edward, Kuipers, L., Khare, C. B., Foster, J., Edgar, G. A., Doucette, Robert, and Bencze, Mihaly

Published
1989
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4. Thinning Out the Harmonic Series

Author

G. Hossein Behforooz

Subjects
Alternating series, symbols.namesake, Series (mathematics), General Mathematics, Mathematical analysis, Prime number, Euler's formula, symbols, Binary logarithm, Harmonic series (mathematics), Upper and lower bounds, Convergent series, Mathematics
Abstract

k=i is close to log n; this shows that the harmonic series diverges very, very slowly. For example, it takes more than 1.5 x 1043 terms for its partial sums to reach 100; see [3], [4], and [5]. In this paper, we refine and thin out the harmonic series to show that the divergence of this series depends on some of its specific terms and without those terms the remaining subseries is convergent. Then, an upper bound and an approximate value will be given to the value of the convergent subseries. Finally, by use of the derived results, it will be shown that the divergence of the Euler series E: (over prime numbers p) depends on specific prime numbers.

Published
1995
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5. LCM of (1,2,...,n) > = 2 to the n - 1

Author

Behforooz, G. and Koster, David W.

Subjects
Inequalities (Mathematics) -- Tests, problems and exercises, Number theory -- Tests, problems and exercises, Numbers, Prime -- Tests, problems and exercises, Mathematics
Published
1990

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