# IJPAM: Volume 91, No. 1 (2014)

NEGATION OF THE CONJECTURE FOR ODD ZETA VALUES

Takaaki Musha
3-11-7-601, Namiki, Kanazawa-ku, Yokohama, 236-0005, JAPAN

Abstract. It is known the Euler formula: For even zeta values, , where is a rational number. It seems natural to conjecture that we can have for every , but this paper gives the negation of this conjecture for odd zeta values.

AMS Subject Classification: 11A25, 11M06, 11Y60, 14G10

Key Words and Phrases: Riemann zeta function, odd zeta values, multiple sine functions