Tokyo Journal of Mathematics
- Tokyo J. Math.
- Volume 30, Number 1 (2007), 21-40.
On the Parity Conjecture for Multiple $L$-values of Conductor Four
In this paper, we prove that the multiple $L$-value of conductor $4$ can be expressed in terms of lower depth multiple $L$-values under the condition on the parity of its depth and weight. This can be regarded as a character analogue of what is called the "parity result" for multiple zeta values which was proved by Zagier.
Tokyo J. Math., Volume 30, Number 1 (2007), 21-40.
First available in Project Euclid: 20 July 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
TSUMURA, Hirofumi. On the Parity Conjecture for Multiple $L$-values of Conductor Four. Tokyo J. Math. 30 (2007), no. 1, 21--40. doi:10.3836/tjm/1184963645. https://projecteuclid.org/euclid.tjm/1184963645