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simplify the summation of harmonic cosines

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#trigonometry #summation
94
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Summation explanation

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#linear-algebra #discrete-mathematics #summation
77
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Evaluate limit using definite integral

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#definite-integrals #summation #riemann-sum
177
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The double sum $\sum_{j=0}^{n} \sum_{i=0}^{m} (-1)^{i+j} {m \choose i} {n \choose j} {i+j \choose i} =0~ \mbox{or}~1$

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#sequences-and-series #summation #binomial-coefficients
92
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Calculate the sum with floor function.

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#real-analysis #summation #ceiling-and-floor-functions
53
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How to bound $\sum_{ \substack{\mathbf{x} \in \mathbb{Z}^n \\ \mathrm{dist}(\mathbf{x}, B) > \delta }} \frac{1}{\mathrm{dist}(\mathbf{x}, B)^m }$?

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#real-analysis #elementary-number-theory #multivariable-calculus #summation #metric-spaces
86
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Elegant way to denote the following summation?

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#summation #notation
123
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The sum of an infinite series containing a finite series in each denominator

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#sequences-and-series #convergence-divergence #summation #sums-of-squares
301
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How to find the closed form for $\sum_{i=1}^k 3^{-i}$

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#algebra-precalculus #summation
76
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Determining the row of an element at position _i_ in a triangle generated from this sequence

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#sequences-and-series #summation
176
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Can this infinite sum be solved analytically?

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#sequences-and-series #summation #special-functions
223
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The summation $\sum_{k=0}^{2n} (-1)^k \frac{{4n \choose 2k}}{{2n \choose k}}=\frac{1}{1-2n}$

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#sequences-and-series #definite-integrals #summation #binomial-coefficients
100
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Lower bound for sum of reciprocals of primes

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#number-theory #summation #prime-numbers
63
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Sum of harmonic numbers $H_{n+k}$

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#combinatorics #summation #harmonic-numbers #sums-of-squares
221
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Summation of Recurrence relation

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#sequences-and-series #summation #recurrence-relations

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