The Journal of the Indian Mathematical Society

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The Evaluation of a Trigonometrical Sum


     

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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.


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  • The Evaluation of a Trigonometrical Sum

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Abstract


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.