#115 - On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IV.

Hardy-Ramanujan Journal

On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IV.

hrj:115 - Hardy-Ramanujan Journal, January 1, 1986, Volume 9 -1986 - https://doi.org/10.46298/hrj.1986.115

On the frequency of Titchmarsh's phenomenon for $\zeta(s)$ IV.Article

Authors: R Balasubramanian ¹

1 Tata Institute for Fundamental Research

The inequality in the main theorem of this paper improves on an earlier weaker version by a certain shaper constant.

https://doi.org/10.46298/hrj.1986.115

Source: HAL:hal-01104701v1

Volume: Volume 9 -1986

Published on: January 1, 1986

Imported on: March 3, 2015

Keywords: prime number theorem,Titchmarsh series,lower bound.,upper bound,[MATH]Mathematics [math]

Bibliographic References

11 Documents citing this article

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K. Soundararajan, 2008, Extreme values of zeta and L-functions, arXiv (Cornell University), 342, 2, pp. 467-486, 10.1007/s00208-008-0243-2, http://arxiv.org/abs/0708.3990.

David W Farmer;S. M Gonek;C. P Hughes, 2007, The maximum size of L-functions, arXiv (Cornell University), 2007, 609, 10.1515/crelle.2007.064, http://arxiv.org/abs/math/0506218.

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Anatolij Karatsuba, 2006, Zero multiplicity and lower bound estimates of $|\zeta(s)|$ , Functiones et Approximatio Commentarii Mathematici, 35, none, 10.7169/facm/1229442623, https://doi.org/10.7169/facm/1229442623.

Ayyadurai Sankaranarayanan;Jyothi Sengupta, 2006, Omega theorems for a class of $L$ -functions (A note on the Ranking-Selberg zeta-function), Functiones et Approximatio Commentarii Mathematici, 36, none, 10.7169/facm/1229616445, https://doi.org/10.7169/facm/1229616445.

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A. Ivić;H. J. J. te Riele, 1991, On the zeros of the error term for the mean square of |𝜁(\frac{1}2+𝑖𝑡)|, Mathematics of Computation, 56, 193, pp. 303-328, 10.1090/s0025-5718-1991-1052096-7, https://doi.org/10.1090/s0025-5718-1991-1052096-7.

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