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# Prime Tuples in Function Fields

## Snapshots of modern mathematics from Oberwolfach

Prime Tuples in Function Fields

How many prime numbers are there? How are they distributed among other numbers? These are questions that have intrigued mathematicians since ancient times. However, many questions in this area have remained unsolved, and seemingly unsolvable in the forseeable future.

In this snapshot, we will discuss one such problem, the Twin Prime Conjecture, and a quantitative version of it known as the Hardy–Littlewood Conjecture. We will also see that these and other questions about prime numbers can be extended to questions about function fields, and discuss recent progress which has been made to answer them in this context.

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## Mathematical subjects

Algebra and Number Theory

## License

## DOI (Digital Object Identifier)

10.14760/SNAP-2016-010-EN

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## Mathematical subjects

Algebra and Number Theory

Analysis

Didactics and Education

Discrete Mathematics and Foundations

Geometry and Topology

Numerics and Scientific Computing

Probability Theory and Statistics

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