酸ハロゲン化物
カルボン酸ハロゲン化物の一般式
酸ハロゲン化物（さんハロゲンかぶつ、acid halide）とは、オキシ酸からヒドロキシ基を除去した形のアシル基にハロゲンが結びついた化合物群の総称。単に「酸ハロゲン化物」と呼んだ場合、カルボン酸ハロゲン化物 (RC(=O)X) を指すことが多い。アシルハロゲン化物、アシルハライド (acyl halide) とも呼ばれる[1]。
脚注
^ acyl halides - IUPAC Gold Book
Questions related to Moebius Transform of Characteristic Function of the Primes
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Consider the function defined in (1) below related to the fundamental prime counting function $pi(x)$ . Note that A143519(n) is not multiplicative. (1) $quad f(x)=sumlimits_{n=1}^{x}A143519(n)$ https://oeis.org/A143519 The following plot illustrates $f(x)$ defined in formula (1) above. Figure (1) : Illustration of $f(x)$ defined in formula (1) The integer zeros of $f(x)$ for $xle 10,000$ are listed in (2) below. (2) $quad$ {1,6,9,12,19,30,79,80,81,116,193,201,287,288,291,668,673,679,680,685,686,1109} The zero crossings of $f(x)$ for $xle 10,000$ where $f(x)$ doesn't settle at zero are listed in (3) below. (3) $quad$ {14,21,33,114,115,118,195,286,290,295,442,445,665,667,670,671,678,682} Question (1) : Does $f(x)$ have a finite number of integer zeros, and if so ...
