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Prime Tuples in Function Fields

Oberwolfach'tan

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. 

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Cebir ve Sayılar Kuramı

Yazar(lar)

Lior Bary-Soroker

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2016-010-EN

PDF indir

snapshot-2016-010-bary-soroker.pdf

PDF

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