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Handbook of Number Theory II
This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory. This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.
Some Results on the Sandor-Smarandache Function
Sandor introduced a new Smarandache-type function, denoted by SS(n), and is called the Sandor-Smarandache function. When n is an odd (positive) integer, then SS(n) has a very simple form, as has been derived by Sandor himself. However, when n is even, then the form of SS(n) is not simple, and remains an open problem. This paper finds SS(n) for some special cases of n. Particular attention is given to values of the general forms SS(2mp), SS(6mp), SS(60mp) and SS(420mp), where m is any (positive) integer and p is an odd prime. Some particular cases have been treated in detail. In Section 4, some remarks are observed.
The Legacy of Sandor Ferenczi
Winner of the 2016 Gradiva Award for Edited Book The Legacy of Sándor Ferenczi, first published in 1993 & edited by Lewis Aron & Adrienne Harris, was one of the first books to examine Ferenczi’s invaluable contributions to psychoanalysis and his continuing influence on contemporary clinicians and scholars. Building on that pioneering work, The Legacy of Sándor Ferenczi: From Ghost to Ancestor brings together leading international Ferenczi scholars to report on previously unavailable data about Ferenczi and his professional descendants. Many—including Sigmund Freud himself—considered Sándor Ferenczi to be Freud’s most gifted patient and protégé. For a large part of his career, Fe...
Smarandache Notions Journal, Vol. 13
The books are published by Smarandache Notions Journal. It is an electronic and hard-copy journal of research in mathematics. Besides this, occasionally It publishes papers of research in physics, philosophy, literary essays and creation, linguistics, and art work. Initially the journal was called "Smarandache Function Journal". Since 1996 to present the original journal was extended to the "Smarandache Notions Journal". It is annually published in the United States by the American Research Press in 1000 copies and on the internet.
Scientia Magna, Vol. 2, No. 3, 2006
Papers on the Pseudo-Smarandache function, primes in the Smarandache deconstructive sequence, recursion formulae for Riemann zeta function and Dirichlet series, parastrophic invariance of Smarandache quasigroups, certain inequalities involving the Smarandache function, and other similar topics. Contributors: A. Majumdar, S. Gupta, S. Zhang, C. Chen, A. Muktibodh, J. Sandor, M. Karama, A. Vyawahare, H. Zhou, and many others.
Scientia Magna, Vol. 3, No. 1, 2007.
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.
Singularities of the Minimal Model Program
This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.
Capsaicin - Sensitive Neural Afferentation and the Gastrointestinal Tract
The capsaicin, a component of paprika, has been used in the culinary practice of every day nutritional practice. This agent is known to cause a variety of actions in the body through activating capsaicin-sensitive afferent neurons. A recently launched book entitled, Capsaicin-Sensitive Neural Afferentation and the Gastrointestinal Tract: from Bench to Bedside, is attractive for several reasons. First, Prof. Mozsik, a chief editor of this book, is known internationally as an expert in capsaicin pharmacology. Since he has worked for many years as a head of internal medicine, taking care of patients with various GI diseases, he is able to make a correct interpretation of various findings obtain...
