A remark on product of Dirichlet L-functions

• Autorzy: Kirti Joshi , C. S. Yogananda
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11M06: ζ ( s ) and L ( s , χ )
• 11Mxx: Zeta and L -functions: analytic theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 91
• Numer: 4
• Strony: 325-327

Daty

wydano

1999

otrzymano

1998-06-03

poprawiono

1999-03-16

Twórcy

autor

Kirti Joshi

• Mathematics Department, University of Arizona, 617 N Santa Rita, P.O. Box 210089, Tucson, AZ 85721, U.S.A.

autor

C. S. Yogananda

• Indian Institute of Science, Bangalore, India

Bibliografia

• [1] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., Oxford Univ. Press, 1968.
• [2] J.-P. Serre, A Course in Arithmetic, Springer International Student Edition, Narosa Publ. House, New Delhi, 1979.
• [3] Y. Taniyama, L-functions of number fields and zeta functions of abelian varieties, J. Math. Soc. Japan 9 (1957), 330-366.