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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 287 - 293 (7page)
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We investigate the averaging value of a random sampling ζ(1/2 + iXt) of the Riemann zeta function on the critical line. Our result is that if Xt is an increasing random sampling with Poisson distribution, thenEζ(1/2 + iXt) = O( log t), for all sufficiently large t in R.
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참고문헌 (4)
참고문헌 신청
S. Jo / 2014 / An estimate of the second moment of a sampling of the Riemann zeta function on the critical line / J. Math. Anal. Appl. 415:121~134
M. Lifshits / 2009 / Sampling the Lindelof hypothesis with the Cauchy random walk / Proc. Lond. Math. Soc. 98(1):241~270
E. Lindelof / 1908 / Quelques remarques sur la croissance de la fonction ${\zeta}$ (s) / Bull. Sci. Math. 32:341~356
M. Jutila / 1983 / On the value distribution of the zeta function on the critical line / Bull. London Math. Soc. 15(5):513~518
M. Lifshits / 2009 / Sampling the Lindelof hypothesis with the Cauchy random walk / Proc. Lond. Math. Soc. 98(1):241~270
E. Lindelof / 1908 / Quelques remarques sur la croissance de la fonction
M. Jutila / 1983 / On the value distribution of the zeta function on the critical line / Bull. London Math. Soc. 15(5):513~518
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