The Evaluation of a Trigonometrical Sum
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DOI:
https://doi.org/10.18311/jims/1930/17465Abstract
It is well-known that if p is a prime of the form 4m + 3, then
1/2(p-1) ∑1 cot n2 π/P- = A √P,
where A is an integer whose value depends on the binary quadratic form class-number.