journal6 ›› 2005, Vol. 26 ›› Issue (3): 1-2.

• Mathematics •     Next Articles

A Conjecture Concerning Trigonometric Sums


  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,Guangdong China)
  • Online:2005-07-15 Published:2012-09-22

Abstract: Let n be a positive integer and  p=4n+1 be a prime.The author proves that there exist n positive integers ki(i=1,2,…,n) which satisfy ki≤2n and ni=1cos(2ki-1)/p=(1+p)/4.

Key words: odd prime, trigonometric sum, Legendre symbol

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