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Full-Text Articles in Number Theory
Number Theoretic Arithmetic Functions And Dirichlet Series, Ivan V. Morozov
Number Theoretic Arithmetic Functions And Dirichlet Series, Ivan V. Morozov
Publications and Research
In this study, we will study number theoretic functions and their associated Dirichlet series. This study lay the foundation for deep research that has applications in cryptography and theoretical studies. Our work will expand known results and venture into the complex plane.
Primes In Arithmetical Progression, Edward C. Wessel
Primes In Arithmetical Progression, Edward C. Wessel
Honors Theses
This thesis will tackle Dirichlet’s Theorem on Primes in Arithmetical Progressions. The majority of information that follows below will stem from Tom M. Apostol’s Introduction to Analytical Number Theory. This is the main source of all definitions, theorems, and method. However, I would like to assure the reader that prior knowledge of neither the text nor analytical number theory in general is needed to understand the result. A rough background in Abstract Algebra and a moderate grasp on Complex and Real Analysis are more than sufficient. In fact, my project’s intent is to introduce Dirichlet’s ideas to the mathematics student …