Ordinates of Zeros: Definition & Meaning

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SUMMARY

The term "ordinate" refers specifically to the y-value in a Cartesian coordinate system, while the x-value is known as the abscissa. In the context of the zeta function, "ordinates of zeros" pertains to the y-values associated with the zeros of the Riemann zeta function. Understanding these concepts is crucial for analyzing the distribution of zeros, which has significant implications in number theory and complex analysis.

PREREQUISITES
  • Familiarity with Cartesian coordinate systems
  • Basic understanding of the Riemann zeta function
  • Knowledge of complex analysis
  • Understanding of number theory concepts
NEXT STEPS
  • Research the properties of the Riemann zeta function
  • Study the significance of zeros in complex analysis
  • Explore the relationship between ordinates and abscissas in mathematical functions
  • Learn about the implications of the Riemann Hypothesis
USEFUL FOR

Mathematicians, students of number theory, and anyone interested in the properties of the Riemann zeta function and its zeros.

jostpuur
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What does "ordinate" mean? When read about the zeta function, I encounter comments about "ordinates of zeros".
 
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The y- value of an (x, y) co-ordinate pair. The x-value is the abscissa.
 

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