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Jan
6
answered Bounding sums of residue classes
Dec
8
revised If $ \sum_{r=1}^{n} t_r $ = $ { n ( n + 1 ) ( n + 2 ) ( n + 3 ) } \over {8} $ , then what does $ \sum_{r=1}^{n} {1\over {t_r} } $ equal to?
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Dec
8
answered If $ \sum_{r=1}^{n} t_r $ = $ { n ( n + 1 ) ( n + 2 ) ( n + 3 ) } \over {8} $ , then what does $ \sum_{r=1}^{n} {1\over {t_r} } $ equal to?
Dec
5
revised A Dirichlet Convolution involving $\mu(n)$ and $\log n$
added 1 character in body
Nov
22
awarded  Yearling
Nov
20
awarded  Nice Answer
Nov
11
awarded  Popular Question
Nov
3
awarded  Popular Question
Oct
30
comment Number of solutions to $x_1x_2+x_3x_4 = 1$ (mod $n$)
@Michael en.wikipedia.org/wiki/Jordan%27s_totient_function ?
Oct
24
comment Algorithm for finding all roots of linear Diophantine equation with finite solution space
I'd first make the substitution $b_n-10=a_n$ so that your problem reduces to finding solutions to: $$17b_1+16b_2+\dots+2b_{16}+b_{17}=1530-c$$ $$b_n\in\{0,1,2,3,\cdots 18,19,20\}$$
Oct
19
comment Prove $∑^{(p−1)/2}_{k=1} \left \lfloor{\frac{2ak}{p}}\right \rfloor \equiv ∑^{(p−1)/2}_{k=1} \left \lfloor{\frac{ak}{p}}\right \rfloor ($mod $2)$
$$\lfloor{x}\rfloor=\sum_{n\leq x}1=\sum_{r=0}^{m-1}\sum_{{an+r\leq x}}1=\sum_{r=0}^{m-1}\sum_{{n\leq \frac{x-r}{a}}}1=\sum_{r=0}^{m-1}\lfloor{\frac{x-r}{m}}\rfloor$$
Oct
19
revised Estimates of the sum involving both the Mobius function and Mertens function.
edited body
Sep
6
awarded  Nice Question
Aug
23
awarded  Pundit
Jul
2
awarded  Revival
Jun
25
reviewed Approve $n! \le n^n$, $\forall$ $n \ge 1$.
May
22
revised Ways of disproving proofs of the Collatz Conjecture?
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Apr
23
revised Möbius sums and Eulers totient function
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Mar
29
revised Summations involving $\sum_k{x^{e^k}}$
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Mar
11
answered Summations involving $\sum_k{x^{e^k}}$