While trying to understand the methods and the results of [3], especially in Section 2, we stumbled on an identity (*) below, which looked worth recording since we could not locate it in the literature. We would like to thank Dinesh Thakur and Dipendra Prasad for their comments.
@article{bwmeta1.element.bwnjournal-article-aav91i4p325bwm,
author = {Kirti Joshi and C. S. Yogananda},
title = {A remark on product of Dirichlet L-functions},
journal = {Acta Arithmetica},
volume = {89},
year = {1999},
pages = {325-327},
zbl = {0959.11037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav91i4p325bwm}
}
Kirti Joshi; C. S. Yogananda. A remark on product of Dirichlet L-functions. Acta Arithmetica, Tome 89 (1999) pp. 325-327. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav91i4p325bwm/
[000] [1] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., Oxford Univ. Press, 1968. | Zbl 0020.29201
[001] [2] J.-P. Serre, A Course in Arithmetic, Springer International Student Edition, Narosa Publ. House, New Delhi, 1979.
[002] [3] Y. Taniyama, L-functions of number fields and zeta functions of abelian varieties, J. Math. Soc. Japan 9 (1957), 330-366. | Zbl 0213.22803