# Number theory master thesis

Analytic Number Theory Analytic Number Theory is a branch of number theory that employs methods and techniques from Complex Analysis in order to solve problems concerning arithmetic properties of integers and the distribution of prime numbers.

While I was supposing that I found my area where I can combine logic and model theory, right now I am not able to see what I had better to do. Algebraic Number Theory Algebraic numbers were first studied in a systematic way by Gauss and Kummer in order to formulate and prove the laws of higher reciprocity in number theory.

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Therefore, in order to be informed and take some advices, I asked one of my possible master thesis advisors in the university.

What he has done has always seemed such adorable to me. If you have any comments, opinions and advices on what I stated, they will be appreciated.

### Algebraic number theory conference

The study of algebraic number theory for its own sake, and for its connections to such areas as algebraic geometry and cryptography, forms a vast domain of current research. In the last 30 years number theory has found many applications, especially in cryptography. Analytic Number Theory Analytic Number Theory is a branch of number theory that employs methods and techniques from Complex Analysis in order to solve problems concerning arithmetic properties of integers and the distribution of prime numbers. If you have any comments, opinions and advices on what I stated, they will be appreciated. So far, we covered the basics that I more or less know in a fast way and these days we are spending some time on the compactness issue which might be the most useful thing in that. Algebraic Number Theory Algebraic numbers were first studied in a systematic way by Gauss and Kummer in order to formulate and prove the laws of higher reciprocity in number theory. Therefore, I am confused on what to do at master level. However, the post-doc student that I study with warned me about this decision of thesis topic, stating that "if you are interested in logic, it is good and appreciated, you might take help from the university's philosophy department, too; but if you choose a topic which is neither pure logic nor real model theory, you will have some difficulties on continuing the way to the doctoral dissertation because there is a narrow studyground for further.

However, the post-doc student that I study with warned me about this decision of thesis topic, stating that "if you are interested in logic, it is good and appreciated, you might take help from the university's philosophy department, too; but if you choose a topic which is neither pure logic nor real model theory, you will have some difficulties on continuing the way to the doctoral dissertation because there is a narrow studyground for further.

The study of algebraic number theory for its own sake, and for its connections to such areas as algebraic geometry and cryptography, forms a vast domain of current research.

## International journal of number theory

The members of the number theory group at UNCG work in several areas of number theory, including algebraic, analytic, and computational number theory and modular forms. All in all, I am a beginner in the academic level and can not see as much as he does for the future works. Originating in the work of Euler, Dirichlet, and Riemann, today its main topics of interest are usually divided into the Multiplicative, Additive, and Probabilistic branches. Algebraic Number Theory Algebraic numbers were first studied in a systematic way by Gauss and Kummer in order to formulate and prove the laws of higher reciprocity in number theory. The theory of modular forms was first developed in connection with the theory of elliptic functions in the first part of the 19th century. Analytic Number Theory Analytic Number Theory is a branch of number theory that employs methods and techniques from Complex Analysis in order to solve problems concerning arithmetic properties of integers and the distribution of prime numbers. So far, we covered the basics that I more or less know in a fast way and these days we are spending some time on the compactness issue which might be the most useful thing in that. He said "it can be interesting to investigate and then present the relationship of these". Connect with us!

So to speak, in any case you have to work and get money out of it, unfortunately".

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