Exploring the Interplay of Mathematics of Finance and Number Theory

In summary, the conversation is about the potential connections between models used in finance and topics in number theory, specifically regarding random matrix theory and the Riemann zeta function. The speaker mentions attending a seminar on the topic and provides a link for further reading.
  • #1
yaron123
4
0
Hi,

I'm not sure to which forum my question related.

Is there a connection between models used in mathematics of finance (such as Markov property or Brownian motion) and topics related to number theory (like Zeta functions for example)?

Thanks
 
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  • #2
What I know is that there are connections between random matrix theory and the zeros of functions related to the Riemann zeta function...
 
  • #3
thanks,
Do you what kind of connection? any example?
 
  • #4
Well, I recently attended a seminar talk about some sort of connection, the paper can be found at http://arxiv.org/abs/0902.1757" , there are probably references in it...
 
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1. What is the mathematics of finance?

The mathematics of finance is a branch of mathematics that focuses on applying mathematical principles and tools to financial problems and decision-making. It involves using mathematical models to analyze, predict, and optimize financial outcomes.

2. Why is mathematics important in finance?

Mathematics is crucial in finance because it provides a way to quantify and analyze financial data, make informed decisions, and manage risk. It also allows for the development of complex models and algorithms that can be used to optimize financial strategies and outcomes.

3. What are some common mathematical concepts used in finance?

Some common mathematical concepts used in finance include algebra, calculus, probability, statistics, and linear algebra. Financial professionals also use financial mathematics, which includes topics such as time value of money, interest rates, and investment valuation.

4. How does mathematics play a role in investing?

In investing, mathematics is used to analyze data and make predictions about the performance of various assets and portfolios. It is also used to develop investment strategies and to calculate risk and return on investments.

5. Can anyone use mathematics to make financial decisions?

While basic mathematical skills are necessary for financial decision-making, advanced mathematics is typically used by trained professionals such as mathematicians, financial analysts, and economists. However, anyone can benefit from understanding and applying basic mathematical concepts to their personal finances.

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