Can Riemann's Analytic Continuation Solve My Reimann Zeta Function Error?

In summary, the conversation was about a C++ program being developed to calculate the Value of the Riemann Zeta Function. However, the program was only giving correct answers for values of a > 1. The request was made for someone to show or link the Riemann's Analytic continuation of the Function so it works for all values (except 1). The conversation also included a link to the code and a suggestion to refer to Wikipedia for series representations that could potentially solve the issue.
  • #1
cmcraes
99
6
I am currently writing a c++ program to calculate the Value of the Reimann Zeta Function, The problem is At the state its at, when you input a number a + bi it only gives the correct answer to values of a > 1. Can anyone show or link me Riemann's Analytic continuation of the Function so it works for all values? (Except 1 of course)
Thanks!
(If you want to see the code go here: http://www.cplusplus.com/forum/windows/129970/)
 
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  • #2
I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 
  • #3

1. What is the Reimann Zeta Function Error?

The Reimann Zeta Function Error, also known as the Zeta Function Error or simply the Zeta Error, is an error term that is part of the Riemann Hypothesis, a famous unsolved problem in mathematics. It is defined as the difference between the actual value of the Reimann Zeta Function at a given point and the expected value based on the Riemann Hypothesis.

2. How is the Reimann Zeta Function Error calculated?

The Reimann Zeta Function Error is calculated by subtracting the expected value based on the Riemann Hypothesis from the actual value of the Reimann Zeta Function at a given point. This calculation is often used in attempts to prove the Riemann Hypothesis, as a way to show that the Zeta Function Error is always equal to zero.

3. What is the significance of the Reimann Zeta Function Error?

The Reimann Zeta Function Error is significant because it is closely related to the Riemann Hypothesis, one of the most famous and important unsolved problems in mathematics. If the Riemann Hypothesis is proven to be true, then the Zeta Function Error will always be equal to zero, which would have major implications for number theory and other areas of mathematics.

4. Can the Reimann Zeta Function Error be negative?

Yes, the Reimann Zeta Function Error can be negative. This means that the actual value of the Zeta Function at a given point is less than the expected value based on the Riemann Hypothesis. However, it is important to note that the Riemann Hypothesis predicts that the Zeta Function Error will always be equal to zero, so if it is negative, it would contradict the hypothesis.

5. What is the current status of the Reimann Zeta Function Error?

The Reimann Zeta Function Error is still an unsolved problem in mathematics. The Riemann Hypothesis, which is closely related to the Zeta Function Error, also remains unsolved. Mathematicians continue to work on finding a proof for the Riemann Hypothesis and understanding the nature of the Zeta Function Error.

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