daniel
Reputation
5,027
Top tag
Next privilege 10,000 Rep.
Access moderator tools
 Jan 14 asked Proof of inequality involving multiplicative function? Jan 10 comment English wording for “first level of asymptotic expansion” You can say $f$ is asymptotically equivalent to $g.$ Jan 9 comment “The PNT obtained by statistical methods” @ErickWong: In that case I will vote to reopen. Jan 8 comment “The PNT obtained by statistical methods” Maybe asking about Erdos-Kac theorem? Jan 7 awarded Popular Question Jan 2 awarded Revival Jan 1 comment Prove $| \sum_{i \leq n} \frac{\mu(i)}{i} | \leq 1$ This result was not relegated to exercises in Apostol and OP say s/he is new to number theory. So I wonder if this is enough. Dec 31 comment Prove $| \sum_{i \leq n} \frac{\mu(i)}{i} | \leq 1$ This is proved at pp. 66-67 of Apostol (Intro. to Analytic Number Thy.) Different approach. Dec 24 comment Equidistribution theorem of Weyl Perhaps OP is asking if equidistribution of a sequence $a\cdot n$ can be used to show that $a$ is irrational? I don't think Weyl works in that direction but at least it's a question. Vote to reopen. Dec 21 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ edited body Dec 21 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ added 565 characters in body Dec 21 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ added 565 characters in body Dec 20 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ added calculation, fixed typos. Dec 17 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ added 615 characters in body Dec 12 comment What is the effective lower bound on gaps between zeta zeros? jstor.org/stable/pdf/2372402.pdf?seq=1#page_scan_tab_contents. See paragraph below formula (2). There are a lot of questions here on lim inf with good answers BTW. Dec 10 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ deleted 115 characters in body Dec 10 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ added 240 characters in body Dec 6 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ edited tags; edited title Dec 5 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ deleted 314 characters in body Dec 4 revised A map from zeros of $\zeta(s)$ to zeros of $C(s)?$ added 7 characters in body