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Results tagged with sequences-and-series
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user 15780
for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.
6
votes
Accepted
Points of differentiability of $f(x) = \sum\limits_{n : q_n < x} c_n$
Offhand, I do not know anything about determining in some concrete way the points of differentiability, but it is fairly well known that the points of differentiability form a meager set (i.e. a set o …
- 3,312
3
votes
Riemann series theorem and uncountable number of sums which sum to every value
Serendipitously, I just happened to comment about this in Mathematics StackExchange 3 days ago. For various results along the lines of what you're asking, see this 18 September 2000 sci.math post.
Th …
- 3,312
4
votes
Unique limits of sequences plus what implies Hausdorff?
This past weekend, entirely by chance, I came across a published paper that used the term "US-space" for the class of topological spaces having the property that no sequence can converge to more than …
- 3,312
31
votes
Does every real function have this weak continuity property?
It has "been known" since 1908 that for any such function, this holds for all but countably many real numbers $c$, even when we additionally require all the sequences to approach $c$ from the same sid …
- 3,312