Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...
Mathematics of Computation, Vol. 64, No. 209 (Jan., 1995), pp. 205-210 (6 pages) M. Abramowitz and I. Stegun (eds.), Handbook of mathematical functions with formulas ...
Salem and Zygmund obtained an upper bound for a tail law of the iterated logarithm for sums of the form $\sum\limits{_{k=N} ^{\infty }} \ a_{k} \ cos (n_{k}x) + b_{x} \ sin(n_{k}x)$ , where n k ...
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