Proving Riemann Hypothesis through the Derivative of Zeta Reflection
Автор: Salah Ameer
Журнал: International Journal of Mathematical Sciences and Computing @ijmsc
Статья в выпуске: 4 vol.7, 2021 года.
Бесплатный доступ
A novel proof is presented in this work indicating that all non-trivial zeros of the zeta function has a real part equal to ½. As no proof has been validated yet, this work was successful in introducing a proof through the use of elementary calculus theorems. A second version of the proof was also shown where a more advanced series analysis (e.g. Fourier series) is used.
Riemann Zeta Function.
Короткий адрес: https://sciup.org/15018235
IDR: 15018235 | DOI: 10.5815/ijmsc.2021.04.03
Список литературы Proving Riemann Hypothesis through the Derivative of Zeta Reflection
- E. Titchmarsh, The Theory of the Riemann Zeta Function. Oxford University Press, Second edition, 1986.
- E. Bombieri, Problems of the Millennium: The Riemann Hypothesis, http://claymath.org/prizeproblems/ riemann.htm.
- M. Wolf, Will a Physicist Prove the Riemann Hypothesis? Reports on Progress in Physics, vol. 83, no. 3, 2020, p. 036001, doi:10.1088/1361-6633/ab3de7
- D. Farmer, Jensen polynomials are not a viable route to proving the Riemann Hypothesis. arXiv preprint arXiv:2008.07206, (2020).
- R. Deloin, Proof of Riemann Hypothesis. Asian Research Journal of Mathematics, 9(1): 1-8, 2018; Article no.ARJOM.40341.
- F. Galetto, A New Proof of the Riemann Hypothesis, Research Trends on Mathematics and Statistics Vol. 3 (2019), pp 23 – 36.
- J. Salah, Two Conditional proofs of Riemann Hypothesis. International Journal of Sciences: Basic and Applied Research (IJSBAR). Vol. 49, Issue 1, pp 74 – 83, 2020.
- F. Alhargan, A Concise Proof Of The Riemann Hypothesis Based On Hadamard Product. https://hal.archives-ouvertes.fr/hal-01819208v4, (2021).
- D. Platt and T. Trudgian, The Riemann hypothesis is true up to 3.1012.arXiv:2004.09675, 2020.
- E. Carneiro, A survey on Beurling-Selberg majorants and some consequences of the Riemann hypothesis, Mat. Contemp. 40 (2011), 149–172.
Статья научная
