The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Integer Sums of Powers of Trigonometric Functions (MOD p), for prime p


G. J. Tee

Department of Mathematics, University of Auckland, Auckland,
New Zealand


Many multi--parameter families of congruences (mod p) are found for integer sums of  qth powers of the trigonometric functions over various sets of equidistant arguments, where p is any prime factor of q. Those congruences provide sensitive tests for the accuracy of software for evaluating trigonometric functions to high precision.

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