Smarandache Notions Journal

 

 

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Number Theory

Number Theory Books:

bulletSequences of Numbers Involved in Unsolved Problems
bullet Only Problems, not Solutions!
bullet Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry, edited by M. L. Perez
bulletSmarandache Sequences, Stereograms and Series, by C. Ashbacher
bulletProgram of the First International Conference on Smarandache Type Notions in Number Theory, University of Craiova (1997)
bullet An Introduction to the Smarandache Function, by Charles Ashbacher
bullet Plucking from the Tree of Smarandache Functions and Sequences, by Charles Ashbacher
bullet A Set of New Smarandache Functions, Sequences, and Conjectures, by Felice Russo
bullet Geometric Theorems, Diophantine Equations, and Arithmetic Functions, by Jozsef Sandor
bullet Collection of Problems on Smarandache Notions, by Charles Ashbacher
bullet Surfing on the Ocean of Numbers, by Henry Ibstedt
bullet Computer Analysis of Number Sequences, by Henry Ibstedt
bulletWandering in the world of smarandache numbers, by A. A. K. Majumdar
bulletGeneralized Partitions and New Ideas on Number Theory and Smarandache Sequences, by A. Murthy & C. Ashbacher
bulletOn Some of the Smarandache's Problems (Vol. I by Krassimir T. Atanassov, Vol. II by Mladen Vassilev-Missana & K. Atanassov)
bullet Comments and Topics on Smarandache Notions and Problems, by Kenichiro Kashihara
bullet The Smarandache Function, by C. Dumitrescu & V. Seleacu
bulletMainly Natural Numbers, by Henry Ibstedt
bulletResearch on Smarandache Problems in Number Theory (collected papers) [Vol. I edited by Zhang Wenpeng; Vol. II edited by Zhang Wenpeng, Li Junzhuang, Liu Duansen]
bulletProceedings of the International Conferences on Number Theory and Smarandache Notions held in CHINA, edited by Z. Wenpeng (Fifth Conference at Shangluo University in 2009; Sixth Conference at Tianshui Normal University in 2010)
bulletApplications of Smarandache Function, Prime and Coprime Functions [English] [Espanol], by Sebastian Martin Ruiz
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bullet 逻辑学的统一:中智逻辑  中智学,中智集合论,中智概率论 (Chinese) [1, 2]
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中国工程建设项目 施工招标技巧与案例分析 Smarandache重空间招标模型 毛林繁著 (Chinese)

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关于Smarandache 理论及其有关问题 (Chinese) {Vol. 1, Vol. 2, Vol. 3, Vol. 4, Vol. 5, Vol. 6, Vol. 7, Vol. 8}

bullet 工程建设项目招标采购理论与实践 - 毛林繁著(Chinese)
bullet 让我们插上翅膀飞翔--数学组合与Smarandache重空间 (毛林繁)
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bulletNoi Funcţii n Teoria Numerelor [Romanian]
bulletAsupra Unor Noi Funcţii n Teoria Numerelor [Romanian]

Smarandache Type Notions:

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Abstracts and Conjectures on Smarandache Notions

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Algebraic Structures

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Algorithms

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Bases

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Computer Programming Codification

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Conjectures On Smarandache Sequences

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Conjectures on Primes (I)

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Conjectures on Primes' Summation (Generalizations of Goldbach and Polignac Conjectures) (II)

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Conjectures on Diophantine Equations

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Constants

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Continued Fractions

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Criteria of Primality

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Criteria of Simultaneous Primality

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Criterion of Coprimality

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Euler's Totient Function and Congruence Theorem Generalized

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Factors and Reverse Factors

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More Factors and Primes of Smarandache Sequences

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Formula to Calculate the Number of Primes Less Than or Equal to x

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Functional Iterations

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Functions ( Vol. I, Vol. II).  Other Functions: Multiplicative, S-analogue function, Ceil, Prime and Coprime.  [Espaol]

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Generalized Palindromes

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Infinite Products

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Irrational and Transcendental Numbers

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k-factorial and smarandacheials

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Prime Expressions

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Prime Numbers

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Primes, Squares, Cubes, m-Powers, and more general "T"-Numbers

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Problems

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Relationships And Subsequences

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Sequences.  Other Sequences: ConcatenatedRecurrence, Partition, Periodical, P and S persistence)

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Series (1, summands)

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First International Conference on Smarandache Type Notions in Number Theory, University of Craiova, Romania, 1997

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Seven International Conferences on Number Theory and Smarandache Notions, P. R. China (between 2005-2011)

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