Bulgarian Journal of Physics

Bulgarian Journal of Physics

Print: 1310-0157 Online: 1314-2666

RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

Bulg. J. Phys. vol.50 no.3 (2023), pp. 301-310

A Characterization of Nontrivial Zeros of Riemann Zeta Function

J. Dasan¹, S. Sajikumar¹, P. Anitha², V. Hema¹
¹Department of Mathematics; College of Engineering Trivandrum, Thiruvananthapuram, Kerala, India
²Department of Mathematics; BJM Government College, Chavara, Kollam, Kerala, India

Abstract. In this article, we give a characterization of nontrivial zeros of the Riemann zeta function using two real integrals. Using this characterization we can provide simple proof of the fact that the Riemann zeta function has no nontrivial real zeros. We also establish that this function takes negative values on the real axis within the critical region.

doi: https://doi.org/10.55318/bgjp.2023.50.3.301

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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

2-8 July 2023 The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.

Bulg. J. Phys. vol.50 no.3 (2023), pp. 301-310

A Characterization of Nontrivial Zeros of Riemann Zeta Function

Full-text: PDF

2-8 July 2023
The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.