Horizontal factorizations of certain Hasse--Weil zeta functions - a   remark on a paper by Taniyama
  In one of his papers, using arguments about l-adic representations, Taniyama expresses the zeta function of an abelian variety over a number field as an infinite product of modified Artin L-functions. The latter can be further decomposed as products of modified Dedekind zeta functions. After recalling Taniyama's work, we give a simple geometric proof of the resulting product formula for abelian and more general group schemes. 
Christopher Deninger, Dimitri Wegner
math.AG math.NT