| Description |
1 online resource. |
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text file |
| Series |
Mathematics Research Developments Ser.
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Mathematics Research Developments Ser.
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| Bibliography |
Includes bibliographical references and index. |
| Summary |
"This monograph is devoted to arithmetic functions, an area of number theory. Arithmetic functions are very important in many parts of theoretical and applied sciences, and many mathematicians have devoted great interest in this field. One of the interesting features of this book is the introduction and study of certain new arithmetic functions that have been considered by the authors separately or together, and their importance is shown in many connections with the classical arithmetic functions or in their applications to other problems"-- Provided by publisher. |
| Contents |
Intro -- ARITHMETIC FUNCTIONS -- ARITHMETIC FUNCTIONS -- Contents -- Glossary of Symbols -- Preface -- Chapter 1On Standard ArithmeticFunctions j,y and s -- 1.1. A. Mullin's Inequality and Its Modification -- 1.2. Inequalities Related to j, y and s-Functions -- 1.3. A Modification of Sivaramakrishnan-Venkataraman's Inequality -- 1.4. On the Composition of Some Arithmetic Functions -- 1.5. On the Equation j(n)+d(n) = n and RelatedInequalities -- Chapter 2Perfect and Related Numbers -- 2.1. On (m,n)-Super-Perfect Numbers -- 2.2. On a Modification of Perfect Numbers |
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2.3. On Multiplicatively Perfect Numbers -- 2.4. Other Modifications of the Concept of PerfectNumber -- 2.5. A New Point of View on Perfect and Other SimilarNumbers -- 2.6. On Bi-Unitary Harmonic Numbers -- 2.7. On Modified Hyperperfect Numbers -- 2.8. On Balanced Numbers -- Chapter 3On Modifications andExtensions of the ArithmeticFunctions j,y and s -- 3.1. On an Arithmetic Function, Related to Operation"Logarithm" -- 3.2. Irrational Factor: Definition, Propertiesand Problems -- 3.3. Converse Factor: Definition, Propertiesand Problems |
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3.4. Restrictive Factor: Definition, Propertiesand Problems -- 3.5. On an Arithmetic Function, Related to Operation"Derivative" -- 3.6. On an Arithmetic Function Related to Function s -- 3.7. Extension Factor: Definition, Propertiesand Problems -- 3.8. Extensions of Restrictive and Extension Factors -- 3.8.1. First Round of Generalizations -- 3.8.2. Second Round of Generalizations -- 3.8.3. Additive Analogues -- Chapter 4Arithmetic Functions of OtherTypes -- 4.1. A Digital Arithmetic Function -- 4.2. On an Inequality of Klamkin, Its ArithmeticApplications,Modifications and Extension |
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4.3. Some Representations Related to Arithmetic Function"Factorial" -- 4.4. Some Representations Concerning the Product ofDivisors of n -- 4.5. A Note on Certain Euler-Mascheroni TypeSequences -- 4.6. On Two Conjectures by K. Kashihara on PrimeNumbers -- 4.7. A Generalization of József Sándor and FlorianLuca's Theorem -- References -- About the Authors -- Index -- Blank Page |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Arithmetic functions.
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Arithmetic functions. |
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Number theory.
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Number theory. |
| Added Author |
Todorov Atanassov, Krassimir, author.
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| Other Form: |
Print version: Sándor, J. Arithmetic functions New York : Nova Science Publishers, Inc. [2021] 9781536194753 (DLC) 2021021026 |
| ISBN |
1536196770 |
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9781536196771 (electronic book) |
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9781536194753 (hardcover) |
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