Scientia Magna Vol 3 No 3 2007

Papers on some faces of Smarandache semigroups' concept in transformation semigroups' approach, the hybrid power mean of the character sums and the general Kloosterman sums, an equation involving the square sum of natural numbers and Smarandache primitive function, Some Dirichlet series involving special sequences, and other similar topics. Contributors: F. Ayatollah, G. Feng, N. Quang, P. Tuan, A.A.K. Majumdar, Y. Wang, B.E. Carvajal-Gamez, C. Aguilar-Chavez, L. Cheng, and many others.

Papers on the mean value of the Smarandache LCM function, Pseudo-Smarandache-Squarefree function, the irrational root sieve sequence, assessment method for weight of experts at interval judgment, miscellaneous remark on problems involving Mersenne primes, a successive linear programming algorithm for SDP relaxation of binary quadratic programming, and other similar topics. Contributors: X. Pan, B. Liu, H. Liu, A. R. Gilani, B. N. Waphare, N. T. Quang, P. D. Tuan, S. Hussain, B. Ahmad, A. Jing , F. Liang, J. Wang, and many others.

Third International Conference on Number Theory and Smarandache Problems, 23-25 March 2007, Weinan Teacher's University, China. Papers on Smarandache multi-spaces and mathematical combinatorics, Smarandache stepped functions, cube-free integers as sums of two squares, recurrences for generalized Euler numbers, the generalization of the primitive number function, the Smarandache LCM function and its mean value, a conjecture involving the F. Smarandache LCM function, a new arithmetical function and its asymptotic formula, and other similar topics. Contributors: J. Wang, A. Muktibodh, M. Selariu, X. Zhang, Y. Zhang, M. Liu, R. Zhang, S. Ma, L. Mao, and many others.

Papers on the Smarandache additive sequence, an equation of the Smarandache function, the property of the Smarandache-Riemann zeta sequence, the continued fractions and Dirichlet L-functions, some pseudo Smarandache function related triangles, and similar topics. Contributors: F. Li, M. Turgut, S. Yilmaz, K. Wang, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Chen, C. Shi, M. Fang, X. Li, and others.

Papers on Pseudo-Smarandache function and Smarandache LCM function, the minimum number of polychromatic C-hyperedges of the complete uniform mixed hypergraphs under one special condition, complete monotonicity properties for the gamma function and Barnes G-function, semigroup of continuous functions and Smarandache semigroups, and other similar topics. Contributors: T. Srinivas, A. K. S. C. S. Rao, X. Liang, W. He, J. Soontharanon, U. Leerawat, J. Wang, C. Zheng, F. A. Z. Shirazi, A. Hosseini, and many others.

Scientia Magna is a peer-reviewed, open access journal that publishes original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.

Scientia Magna international book series publish original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.

Scientia Magna international book series are published in one or two volumes per year with more than 100 pages and over 1,000 copies.