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Table of Contents:

Chapter 1: Introduction
– Background of the Study
– Statement of the Problem
– Research Questions
– Significance of the Study
– Definition of Terms

Chapter 2: Literature Review
– Historical Overview of Analytic Number Theory
– Concepts and Theorems in Analytic Number Theory
– Introduction to Large Sieve
– Previous Studies and Research on Analytic Number Theory and Large Sieve

Chapter 3: Research Methodology
– Research Design
– Data Collection Methods
– Data Analysis Techniques
– Sampling Strategy
– Ethical Considerations

Chapter 4: Discussion of Findings
– Overview of Data Analysis
– Interpretation of Results
– Comparison with Previous Studies
– Implications of Findings

Chapter 5: Conclusion and Summary
– Summary of Findings
– Conclusion of the Study
– Recommendations for Future Research
– Limitations of the Study
– Contributions to the Field

Brief Overview of the Thesis “Analytic Number Theory and Large Sieve”:
Analytic number theory is a branch of mathematics that deals with the properties of integers and prime numbers using tools from analysis and complex analysis. The large sieve theorem is a fundamental result in analytic number theory that provides estimates on the distribution of prime numbers.

The thesis on Analytic Number Theory and Large Sieve aims to explore the connections between these two areas of mathematics and investigate how the large sieve theorem can be applied to problems in analytic number theory. Through a comprehensive literature review and research methodology, the thesis seeks to advance our understanding of prime number distribution and provide new insights into the field.

Overall, the thesis will contribute to the body of knowledge in analytic number theory and provide a valuable resource for mathematicians and researchers interested in the intersection of these two important areas of mathematics.

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