Papers on an equation involving the Smarandache function and its positive integer solutions, the Smarandache kn-digital subsequence, the Smarandache 3n-digital sequence and the Zhang Wenpeng's conjecture, the quintic supported spline wavelets with numerical integration and similar topics. Contributors: A. A. Majumdar, B. Chen, C. Shi, S. Wang, L. Zhang, A. Saeid, M. Haveshki, T. Veluchamy, P.S.Sivakkumar, and others.

Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.

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.

Papers on kn-digital sequence and Smarandache function, generalized separation axioms, the bounds of the largest eigen value and the Laplacian energy of certain class of graphs, several identities involving the classical Catalan numbers, more about functional Alexandroff topological spaces, clopen sets in uniform topology on BE-algebras, and similar topics. Contributors: S. Balasubramanian, V. Lokesha, Ranjini P. S, D. Senthilkumar and K. Thirugnanasambandam, N. Murugesan, P. Suguna, M. Mohamadhasani, and others.

Papers on Smarandache cyclic geometric determinant sequences, certain subclasses of analytic functions, types and sums of self-integrating functions, self-integrating polynomials in two variables, weakly generalized compactness in intuitionistic fuzzy topological spaces, signed product cordial graphs in the context of arbitrary supersubdivision, and similar topics. Contributors: M. Dragan, M. Bencze, S. S. Billing, V. Maheswari, A. Nagarajan, N. Subramanian, P. Lawrence, R. Lawrence, A. A. Mogbademu, and others.

Papers on Characterization of Symmetric Primitive Matrices with Exponent n2, Characterizations of Some Special Space-like Curves in Minkowski Space-time, Combinatorially Riemannian Submanifolds, On Smarandache Bryant Schneider Group of a Smarandache Loop, and other topics. Contributors: Linfan Mao, Bo Li, Jing Wang, Yuanqiu Huang, Mehdi Hassani, Melih Turgut, Suha Yilmaz, Suha Yilmaz, Suur Nizamoglu, A.P. Santhakumaran, P. Titus, and others.

Papers on Smarandache adjacent number sequences and its asymptotic property, counterexamples to a theorem concerning solution of certain quadratic Diophantine equation, short interval result for the e-squarefree e-divisor function, log convexity and concavity of some double sequences, intuitionistic fuzzy resolvable and intuitionistic fuzzy irresolvable spaces, super Weyl transform and some of its properties, and similar topics. Contributors: S. Panayappan, J. Wei, S. Chauhan, S. Kumar, S. Keawrahun, U. Leerawat, S. Balasubramanian, P. A. S. Vyjayanthi, S. Balasubramanian, and others.

Papers on Smarandache least common multiple ratio, generalized galilean transformations and dual quaternions, the instantaneous screw axes of two parameter motions in Lorentzian space, a new additive function and the F. Smarandache function, cyclic dualizing elements in Girard quantales, and other topics. Contributors: R. Maragatham, C. Prabpayak, U. Leerawat, M. Karacan, L. Kula, T. Veluchamy, P. Sivakkumar, L. Torkzadeh, A. Saeid, and others.