On a Discrete Mean Value Theorem for ζj

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Authors

  • The Institute for Advanced Study, Princeton, New Jersey ,US

Abstract

In the course of the proof of the theorem, I also give a proof of my result mentioned above. We first state two corollaries to the theorem above.

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Published

1972-12-01

How to Cite

Ramachandra, K. (1972). On a Discrete Mean Value Theorem for ζj. The Journal of the Indian Mathematical Society, 36(3-4), 307–316. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16673

 

References

G. HALASZ and P. TUBAN : On the distribution of the roots of the Riemann zeta and allied functions, Jour, of Number Theory, 1 (1969), 121-137.

H. L. MONTGOMERY : Mean and large values of Dirichlet polynoinials, Inventiones Math. 8 (1969), 334-345.

H. E. EICHEBT : Zur Abschatzung der Riemannschen Zetafunktion in der Nahe der Verticalen a=*l, Math. Annakn, 169, (1967), 97-101.

E. C. TITOHMABSH : The theory of the Biemann zeta-function, Oxford, (1951).