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Find all positive integers $a, b, c$ such that $21^a+ 28^b= 35^c$ .
algebra-precalculus
diophantine-equations
exponential-sum
perfect-powers
log of summation expression
summation
logarithms
exponential-sum
Number of zeros in difference of exponential sums: $\sum\limits_{i=1}^n a_i^x - \sum\limits_{i=1}^n b_i^x$
roots
exponential-sum
Prove the following series $\sum\limits_{s=0}^\infty \frac{1}{(sn)!}$ [duplicate]
sequences-and-series
trigonometry
exponential-sum
Baker-Hausdorff Lemma from Sakurai's book
operator-theory
exponential-sum
Show that $ \lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=0}^{n-1}e^{ik^2}=0$
real-analysis
limits
exponential-sum
equidistribution
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