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epkid08
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Does anybody know where I can find the proof that an infinite number of zeros of the riemann zeta function exist when re(s) = 1/2?
Proof of Inf. Riemann Zeta Function Zeros at re(s)=1/2
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- Thread starter epkid08
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SUMMARY
The discussion centers on the proof of the existence of an infinite number of zeros of the Riemann Zeta function at the critical line where re(s) = 1/2. The reference provided is Selberg, A. "On the Zeros of Riemann's Zeta-Function," published in Skr. Norske Vid.-Akad. Oslo, No. 10, 1942. This seminal work is crucial for understanding the distribution of these zeros, which is a fundamental aspect of analytic number theory.
PREREQUISITES- Understanding of complex analysis
- Familiarity with analytic number theory
- Knowledge of the Riemann Zeta function
- Ability to interpret mathematical proofs
- Read Selberg's 1942 paper on the Riemann Zeta function
- Study the implications of the Riemann Hypothesis
- Explore the connection between the Riemann Zeta function and prime number distribution
- Investigate modern proofs and techniques related to the zeros of the Riemann Zeta function
Mathematicians, students of number theory, and researchers interested in the properties of the Riemann Zeta function and its implications in analytic number theory.
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