New Points of View on the Selberg Zeta Function

In summary, the conversation is about a paper on the Selberg zeta function by Don Zagier that was published in 2002. The paper was presented at a Japanese-German seminar in 2001 and is now available for download at a specific website.
  • #1
crowlogic
6
0
Does anyone know where I can download or purchase this paper? I can't find it anywhere...

http://edoc.mpg.de/39003

New points of view on the Selberg zeta function
Authors: Zagier, Don
Language: English
Research Context: research report
Publisher: Ryushi-do
Place of Publication: Osaka
Date of Publication (YYYY-MM-DD): 2002-03
Title of Proceedings: Proceedings of Japanese-German Seminar
Start Page: 1
End Page: 10
Name of Conference/Meeting: Explicit Structures of Modular Forms and Zeta Functions
Place of Conference/Meeting: Hakuba (Japan)
(Start) Date of Conference/Meeting
(YYYY-MM-DD): 2001-09-09
End Date of Conference/Meeting
(YYYY-MM-DD): 2001-09-15
Review Status: Internal review
Audience: Experts Only
External Publication Status: published
Document Type: Conference-Paper
Communicated by: N. N.
Affiliations: MPI für Mathematik
 
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  • #3
Thanks for posting this
 

1. What is the Selberg zeta function?

The Selberg zeta function is a mathematical function named after the Norwegian mathematician Atle Selberg. It is a generalization of the Riemann zeta function and is defined as a product over all prime numbers, similar to the Riemann zeta function which is a product over all positive integers.

2. What are the applications of the Selberg zeta function?

The Selberg zeta function has various applications in number theory, geometry, and physics. It has been used to study the distribution of prime numbers, to solve problems in algebraic geometry, and to study spectral properties of certain physical systems.

3. What are the main topics of research in "New Points of View on the Selberg Zeta Function"?

The main topics of research in "New Points of View on the Selberg Zeta Function" include the study of the Selberg zeta function on different domains, the relationship between the Selberg zeta function and other zeta functions, and applications of the Selberg zeta function in various fields.

4. How does the Selberg zeta function relate to the Riemann Hypothesis?

The Selberg zeta function is closely related to the Riemann zeta function and the Riemann Hypothesis. In fact, Selberg's proof of the prime number theorem, which states that the number of primes less than a given number x is approximately equal to x/ln(x), is based on the Riemann Hypothesis.

5. What are some open problems in the study of the Selberg zeta function?

Some open problems in the study of the Selberg zeta function include finding explicit formulas for the values of the Selberg zeta function at certain points, generalizing the Selberg zeta function to higher dimensions, and understanding the connection between the Selberg zeta function and other important mathematical objects such as L-functions and modular forms.

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