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- Title
ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE RIEMANN ZETA-FUNCTION.
- Authors
SOUNDARARAJAN, K.
- Abstract
The article discusses the ordinates of the zeros of the zeta-function in the Riemann Hypothesis. It demonstrates the mean-value theorem of partial summation in Dirichlet polynomials. It states that the number of zeros of the zeta-function follows the average spacing between successive zeros and is understood imperfectly. Moreover, it presents mathematical proposition to the assertion of the theorem.
- Subjects
ZETA functions; RIEMANN hypothesis; ANALYTIC number theory; EULER products; PRIME numbers; MEAN value theorems
- Publication
Quarterly Journal of Mathematics, 1996, Vol 47, Issue 3, p383
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/47.3.383