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Oct
20
comment
Distribution of the Error term in GH Hardy's “curious result” $\sum_{\nu \leq n } \{ \nu \theta \}^2 = \tfrac{1}{12} n + O(1)$
The first several papers in Hardy's Collected Works Volume 1 all seem to be joint with Littlewood, and the paper with the ``curious result" in the collected works is the ICM proceedings that I linked.
Oct
20
revised
Distribution of the Error term in GH Hardy's “curious result” $\sum_{\nu \leq n } \{ \nu \theta \}^2 = \tfrac{1}{12} n + O(1)$
added 85 characters in body
Oct
20
comment
Distribution of the Error term in GH Hardy's “curious result” $\sum_{\nu \leq n } \{ \nu \theta \}^2 = \tfrac{1}{12} n + O(1)$
Ok -- different standards then!
Oct
20
comment
Distribution of the Error term in GH Hardy's “curious result” $\sum_{\nu \leq n } \{ \nu \theta \}^2 = \tfrac{1}{12} n + O(1)$
@Hurkyl: yes, (and it's standard usage.)
Oct
20
answered
Distribution of the Error term in GH Hardy's “curious result” $\sum_{\nu \leq n } \{ \nu \theta \}^2 = \tfrac{1}{12} n + O(1)$
Oct
17
answered
Sums of reciprocals of products of factorials
Oct
17
comment
Sums of reciprocals of products of factorials
Your problem is closely related to the problem of Elkies on the Coupon collector's earworm. (see
mathoverflow.net/questions/215664/the-coupon-collectors-earworm
) In particular see Theorem 1 in the paper linked in the accepted answer to that question. That will give ranges of $r$ where the answer is asymptotic to $m^d/d!$ and the range in which it is $o(m^d/d!)$.
Oct
16
reviewed
Close
Lexicographic order on increasing $k$-tuples
Oct
15
reviewed
Leave Closed
Examples of beautiful theories without applications
Oct
14
awarded
Necromancer
Oct
14
reviewed
Close
Mean value estimate $ \frac{1}{T} \int_0^T | \zeta( \tfrac{1}{2} + it)|^2 \, dt = \log \frac{T}{2\pi } + (2\gamma - 1) + O(T^{\delta})$
Oct
14
answered
Counting fundamental units of real quadratic fields
Oct
12
reviewed
No Action Needed
Essays and thoughts on mathematics
Oct
11
reviewed
Leave Closed
How does a mathematician choose on which problem to work?
Oct
11
reviewed
Leave Closed
How does a mathematician choose on which problem to work?
Oct
10
revised
Bounding Schur symmetric polynomials on the unit circle
added 343 characters in body
Oct
10
comment
Another question on Heath-Brown's “Prime twins and Siegel zeros”
Fair enough! I didn't mean any offense with my epigram, and I hope none was taken. It was just that I couldn't resist it, in view of that epigram question running around recently.
Oct
9
comment
Another question on Heath-Brown's “Prime twins and Siegel zeros”
(And now someone can use this answer for that epigram question.)
Oct
9
answered
Another question on Heath-Brown's “Prime twins and Siegel zeros”
Oct
9
reviewed
Close
What might extraterrestrial mathematics look like?
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