Algebraic Number Theory: Class Field Theory and L-functions – Complete Phd and Masters Thesis

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Table of Contents:

Chapter 1: Introduction
1.1 Background
1.2 Research Problem
1.3 Research Questions
1.4 Research Objectives
1.5 Significance of the Study
1.6 Structure of the Thesis

Chapter 2: Literature Review
2.1 Introduction to Algebraic Number Theory
2.2 Class Field Theory
2.3 L-functions
2.4 Previous Research and Studies

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Ethical Considerations

Chapter 4: Discussion of Findings
4.1 Overview of Data Analysis
4.2 Analysis of Results
4.3 Comparison with Previous Studies
4.4 Implications of Findings

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Future Research
5.4 Limitations of the Study
5.5 Contribution to Knowledge

Brief Overview:

The thesis on Algebraic Number Theory: Class Field Theory and L-functions aims to provide a comprehensive analysis of these advanced topics in number theory. The introduction sets the stage by outlining the background and research problem, followed by research questions and objectives. The literature review delves into the fundamentals of Algebraic Number Theory, Class Field Theory, and L-functions, as well as previous research in the field.

The research methodology chapter details the research design, data collection methods, and analysis techniques used in the study. The discussion of findings chapter presents an analysis of the results, comparisons with previous studies, and implications of the findings. Finally, the conclusion and summary chapter summarizes the key findings, provides recommendations for future research, acknowledges limitations, and highlights the contribution to knowledge in the field.

Overall, this thesis aims to enhance the understanding of Algebraic Number Theory, Class Field Theory, and L-functions, and contribute to the body of knowledge in the field of number theory.

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