Draw – River over the circle

I'm trying to draw a vector field over a circle, especially the vector field in this drawing:

VectorPlot[{(Sin[x]) ^ 3, 0}, {x, 0, 2 [Pi]}, {y, -0,001, 0,001},
FrameTicks -> {{[Pi]/ 2, [Pi], 3 [Pi]/ 2, 2 [Pi]}, {-1, 1}},
Epilogue ->

plot[(Sin[x]) ^ 3, {x, 0, 2 [Pi]}, PlotStyle -> Red,
Ticks -> None][[1]], PlotRange -> {{0, 2 [Pi]}, {-1, 1}},
Grid lines -> Automatic
]

That way I could draw a vector field over the line. But I want to draw this one-dimensional representation over a circle.

Number Theory – Are the logarithms of the integer polynomials in $ L ^ 1 $ of the unit circle discrete?

Tautologically, the integer polynomials form a discrete set $ L ^ 1 $ of the unit circle. On the other hand, a normally ordered set of logarithms generally becomes denser than the original set.

Is the set
$$
big { log {| P |} ,: , P in mathbb {Z}[X] setminus {0 } big } subset L ^ 1 ( mathbb {T})
$$

of functions on the complex unit circle $ mathbb {T} = {z mid | z | = 1 } $ discreet in $ L ^ 1 $or does it have an accumulation point?

I am equally satisfied with that $ L ^ 2 $ Norm, if it makes a difference.

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Rating:5

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[DICHVUSOCKS.US] 12h05 UPDATE 24 / 24- Good socks

Payment Immediately perfect money, Bitcoin, Wmtransfer, Wex, ETH (Please click on buy socks)
Update Tools Client Dichvusocks.us http://dichvusocks.us/tools.php Link Check Socks http://check.dichvusocks.us/
LIVE | 166.62.80.198:16028 | 0.24 | Arizona | 85260 | ip-166-62-80-198.ip.secureserver.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 132.148.19.140:45832 | 0.24 | Arizona | 85260 | ip-132-148-19-140.ip.secureserver.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 112.120.200.231:36673 | 0.84 | Central and West District | Unknown | n112120200231.netvigator.com | Hong Kong | Blacklist: No | Tested at http://dichvusocks.us
LIVE | 14.199.4.126:52232 | 0.9 | Tai Po district | Unknown | 014199004126.ctinets.com | Hong Kong | Blacklist: No | Tested at http://dichvusocks.us
LIVE | 192.169.249.49:53196 | 2.32 | Arizona | 85260 | ip-192-169-249-49.ip.secureserver.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 82.165.137.115:7061 | 0.5 | Unknown | Unknown | tor4e1.digitale-gesellschaft.ch | Unknown | Blacklist: No | Tested at http://dichvusocks.us
LIVE | 192.169.243.124:59958 | 6.74 | Arizona | 85260 | GoDaddy.com, LLC | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 76.98.94.54:40947 | 0.1 | Pennsylvania | 19036 | c-76-98-94-54.hsd1.pa.comcast.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 5.135.58.123:22011 | 0.33 | Unknown | Unknown | server.ei2dns.com | France | Blacklist: No | Tested at http://dichvusocks.us
LIVE | 103.216.82.28:6667 | 2,09 | Unknown | Unknown | Gtpl Dcpl Private Limited | India | Blacklist: No | Tested at http://dichvusocks.us
LIVE | 192.169.190.207:47997 | 0.27 | Arizona | 85260 | ip-192-169-188-100.ip.secureserver.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 192.169.249.80:17147 | 3,51 | Unknown | Unknown | | Unknown | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 37.59.8.29:36082 | 1,34 | Unknown | Unknown | ns3099982.ovh.net | France | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 104.238.97.215:18598 | 1.62 | Arizona | 85260 | ip-104-238-97-215.ip.secureserver.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 173.244.200.159:29736 | 0.17 | Indiana | 46060 | c-73-102-207-179.hsd1.in.comcast.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 199.247.27.91:9051 | 1.72 | Unknown | Unknown | Emerald Onion | Unknown | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 58.153.60.205:49247 | 0.85 | Central and West District | Unknown | n058153060205.netvigator.com | Hong Kong | Blacklist: No | Tested at http://dichvusocks.us
LIVE | 112.119.248.104:20688 | 0.81 | Central and West District | Unknown | n112119248104.netvigator.com | Hong Kong | Blacklist: No | Tested at http://dichvusocks.us

dichvusocks
Reviewed by dichvusocks on
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[DICHVUSOCKS.US] 12h05 UPDATE 24 / 24- Good socks
Payment Immediately perfect money, Bitcoin, Wmtransfer, Wex, ETH (Please click on buy socks)
Update Tools Client Dichvusocks.us http://dichvusocks.us/tools.php Link Check Socks http://check.dichvusocks.us/
LIVE | 166.62.80.198:16028 | 0.24 | Arizona | 85260 | ip-166-62-80-198.ip.secureserver.net | United States | Blacklist: Yes | Tested at http://dichvusocks.us
LIVE | 132.148.19.140:45832 | 0.24 | Arizona | 85260 | ip-132-148-19-140.ip.secureserver.net | United States | Blacklist: Yes | Checked

Rating: 5

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