"Number Theory and Its Applications" ed. by Cheon Seoung Ryoo

This book is based on recent results in all areas related to number theory and its applications.

Number theory and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on number theory and its applications has been done in mathematics, applied mathematics, and the sciences. In particular, number theory plays a fundamental and important role in mathematics and applied mathematics.

Contents
1. A New Integer-to-Integer Transform
2. Digit Sums and Infinite Products
3. The Borel-Cantelli Lemmas, and Their Relationship to Limit Superior and Limit Inferior of Sets (or, Can a Monkey Really Type Hamlet?)
4. Prime Numbers Distribution Line
5. Moments of Catalan Triangle Numbers
6. Modular Sumset Labelling of Graphs
7. Determination of the Properties of (p, q)‐Sigmoid Polynomials and the Structure of Their Roots
8. I–Convergence of Arithmetical Functions
9. Identification of Eigen-Frequencies and Mode-Shapes of Beams with Continuous Distribution of Mass and Elasticity and for Various Conditions at Supports
10. Some Identities Involving 2-Variable Modified Degenerate Hermite Polynomials Arising from Differential Equations and Distribution of Their Zeros
11. Elliptic Curve over a Local Finite Ring Rn

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