There are several consequences of the Riemann hypothesis in many area as Number theory , complex analysis $\cdots $ ,I'm interesting to know what about those consequences if the Riemann zeta function satisfy any known Algebraic differential equation then what are the contributions of Riemann Hypothesis to physics if the Riemann zeta function is a solution for known differential equation?

Note: I meant here by satisfies any algebraic differential equation that zeta function is a solution for known algebraic differential equation

  • $\begingroup$ Without further context this seems like a wild guess to me. Unless I'm missing something, since I'm not that familiar with the topic $\endgroup$ – Yuriy S Feb 2 '18 at 20:16
  • $\begingroup$ I accept your downvote, My Goal is to seek more about RH $\endgroup$ – zeraoulia rafik Feb 2 '18 at 20:19
  • $\begingroup$ I didn't downvote this question. Since I'm not familiar with the topic I can't make judgements here. Though I think you should really clarify the question $\endgroup$ – Yuriy S Feb 2 '18 at 20:21
  • $\begingroup$ Concerning $\zeta$ as solution of an algebraic diļ¬€erential equation see this thread. $\endgroup$ – Raymond Manzoni Feb 17 '18 at 0:23