schlomilch test proof

mmm4444bot

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Hello. Did you try a search engine? I just did, and I found an excerpt from a book titled, "Transactions of the American Mathematical Society, Volume 19".

On page 195, the book states that (from the viewpoint of integral tests) Theorem IV may be used as a proof of Schlömilch's test. You will find Theorem IV, by scrolling up to page 193.

I didn't look into other search results, but the summary for the following PDF file says, "… We will next present a short proof of Schlömilch's result …", so maybe this reference is also relevant:


EDIT: Fixed first link above

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Degel123

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Mar 8, 2019
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link "on page 195" is not working :( Now i see that this theorem is also named logarithmic test but i still doesnt found the proof.
 

Dr.Peterson

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It looks like the link was supposed to be this, which I found by doing the recommended search and including "AMS".

Apparently mmm pasted the name rather than the link (which I've done once or twice myself).
 

mmm4444bot

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… looks like the link was supposed to be this … Apparently mmm pasted the name rather than the link …
Thanks, but my link is different (a Google book review), and the name was pasted because Ctrl+C failed to copy highlighted text to the clipboard (a Microsoft bug experienced in every version of Windows since 3.1). However, my bad for not verifying the links after posting.

@Degel123 The link is now working. Many others may be found, by using a search engine.

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