리만 가설 - 편집 역사

2021년 2월 17일 (수) 12:41에 Pythagoras0님의 편집

2021-02-17T12:41:42Z

2020-12-28T14:33:28Z

메타데이터: 새 문단

2020-11-13T14:52:28Z

2016-03-23T06:49:28Z

section '관련논문' updated

2015-09-21T07:30:14Z

리뷰, 에세이, 강의노트

2015-08-13T08:01:33Z

재미있는 사실

2015-07-11T13:30:13Z

Hilbert-Polya and random matrices

2015-05-29T07:35:52Z

Hilbert-Polya and random matrices

2015-01-02T02:30:11Z

Hilbert-Polya and Random matrices

2015-01-02T02:18:38Z

@@ 143번째 줄: / 143번째 줄: @@
 [[분류:리만 제타 함수]]
-== 메타데이터 ==
+==메타데이터==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q2993323 Q2993323]

← 이전 판		2020년 12월 28일 (월) 14:33 판
142번째 줄:		142번째 줄:

	[[분류:리만 제타 함수]]		[[분류:리만 제타 함수]]
		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q2993323 Q2993323]

@@ 42번째 줄: / 42번째 줄: @@
 *  Rubinstein-Sarnak 1994
-** how often $\pi(x)>\operatorname{Li}(x)$
+** how often <math>\pi(x)>\operatorname{Li}(x)</math>
 *  even(x) : number of natural numbers , even number of prime factors
 *  Odd(x) : odd number of prime factors

@@ 138번째 줄: / 138번째 줄: @@
 ==관련논문==
 * [http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/ Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse] Bernhard Riemann, November 1859
 [[분류:리만 제타 함수]]

@@ 130번째 줄: / 130번째 줄: @@
 ==리뷰, 에세이, 강의노트==
 * Wolf, Marek. “Will a Physicists Prove the Riemann Hypothesis?” arXiv:1410.1214 [math-Ph], October 5, 2014. http://arxiv.org/abs/1410.1214.
 * França, Guilherme, and André LeClair. 2014. “A Theory for the Zeros of Riemann Zeta and Other L-Functions.” arXiv:1407.4358 [hep-Th, Physics:math-Ph], July. http://arxiv.org/abs/1407.4358.

@@ 99번째 줄: / 99번째 줄: @@
-==재미있는 사실==
+==메모==
+* Feng, Nianrong, Yongzheng Wang, and Ruixin Wu. “To Reveal the Truth of the Zeta Function in Riemann’s Manuscript.” arXiv:1508.02932 [math], August 6, 2015. http://arxiv.org/abs/1508.02932.
 * 영화속 오류 russell crowe riemann zeta
 * http://mathoverflow.net/questions/13647/why-does-the-riemann-zeta-function-have-non-trivial-zeros
 ==역사==

@@ 72번째 줄: / 72번째 줄: @@
 * http://en.wikipedia.org/wiki/Hilbert-P%C3%B3lya_conjecture
 * http://en.wikipedia.org/wiki/Gaussian_Unitary_Ensemble
 * Barrett, Owen, Frank W. K. Firk, Steven J. Miller, and Caroline Turnage-Butterbaugh. ‘From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond’. arXiv:1505.07481 [math], 27 May 2015. http://arxiv.org/abs/1505.07481.
 * Fyodorov, Yan V. “Introduction to the Random Matrix Theory: Gaussian Unitary Ensemble and Beyond.” arXiv:math-ph/0412017, December 7, 2004. http://arxiv.org/abs/math-ph/0412017.

@@ 68번째 줄: / 68번째 줄: @@
-==Hilbert-Polya and Random matrices==
+==Hilbert-Polya and random matrices==
 * http://en.wikipedia.org/wiki/Hilbert-P%C3%B3lya_conjecture
@@ 76번째 줄: / 76번째 줄: @@
 * Berry, M. V. “The Bakerian Lecture, 1987: Quantum Chaology.” Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 413, no. 1844 (September 8, 1987): 183–98. doi:10.1098/rspa.1987.0109.
 * Montgomery, Hugh L. (1973), "The pair correlation of zeros of the zeta function", Analytic number theory, Proc. Sympos. Pure Math., XXIV, Providence, R.I.: American Mathematical Society, pp. 181–193,
-* http://hal.archives-ouvertes.fr/hal-00119410/en/
+* Paul Bourgade, Marc Yor. [http://hal.archives-ouvertes.fr/hal-00119410/en/ Random Matrices and the Riemann zeta function], 2006
 * http://www.secamlocal.ex.ac.uk/people/staff/mrwatkin/zeta/random.htm
+* http://www.maths.bris.ac.uk/~majpk/publications.html
 ==Noncommutatative geometry==