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pro vyhledávání: '"SHIU, PETER"'
Autor:
Shiu, Peter
The denominators $d_n$ of the harmonic number $1+\frac12+\frac13+\cdots+\frac1n$ do not increase monotonically with~$n$. It is conjectured that $d_n=D_n={\rm LCM}(1,2,\ldots,n)$ infinitely often. For an odd prime $p$, the set $\{n:pd_n|D_n\}$ has a h
Externí odkaz:
http://arxiv.org/abs/1607.02863
Autor:
Shiu, Peter
The method of Tur\'an in establishing the normal order for the number of prime divisors of a number is used to show that a certain class of arithmetic functions do not have a normal order.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1606.04533
Autor:
Shiu, Peter
Publikováno v:
The American Mathematical Monthly, 2019 Nov 01. 126(9), 802-808.
Externí odkaz:
https://www.jstor.org/stable/48662178
Autor:
SHIU, PETER
Publikováno v:
The Mathematical Gazette, 2018 Jul 01. 102(554), 226-232.
Externí odkaz:
https://www.jstor.org/stable/26538976
Autor:
Shiu, Peter
Publikováno v:
The American Mathematical Monthly, 2018 Mar 01. 125(3), 264-266.
Externí odkaz:
https://www.jstor.org/stable/48661860
Autor:
SHIU, PETER
Publikováno v:
The Mathematical Gazette, 2016 Jul 01. 100(548), 288-297.
Externí odkaz:
https://www.jstor.org/stable/44161816
Autor:
SHIU, PETER
Publikováno v:
The Mathematical Gazette, 2016 Jul 01. 100(548), 203-212.
Externí odkaz:
https://www.jstor.org/stable/44161806
Autor:
SHIU, PETER
Publikováno v:
The Mathematical Gazette, 2016 Mar 01. 100(547), 118-119.
Externí odkaz:
http://www.jstor.org/stable/44161713
Autor:
SHIU, PETER
Publikováno v:
The Mathematical Gazette, 2015 Mar 01. 99(544), 104-108.
Externí odkaz:
https://www.jstor.org/stable/24496909
Autor:
SHIU, PETER
Publikováno v:
The Mathematical Gazette, 2015 Mar 01. 99(544), 97-103.
Externí odkaz:
https://www.jstor.org/stable/24496908