We give direct proofs of meromorphic continuality on the whole complex plane of certain zeta functions Z(P,Q)(S) and Z(P/Q, s) associated with a pair of polynomials P,Q. We calculate Z(P,Q)(-q) (q a non-negative integer) and give explicit formulas for the residues of Z(P/Q, s) at poles.
机构:
Univ Paris Saclay, Univ Evry, LaMME, 23 Bd De France, F-91037 Evry, FranceUniv Paris Saclay, Univ Evry, LaMME, 23 Bd De France, F-91037 Evry, France
机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaUniv Paris Saclay, Univ Evry Val dEssonne, LaMME UMR 8071, 23 Bd France, F-91037 Evry, France
机构:
Rikkyo Univ, Dept Math, Toshima Ku, 3-34-1 Nishi Ikebukuro, Tokyo 1718501, JapanRikkyo Univ, Dept Math, Toshima Ku, 3-34-1 Nishi Ikebukuro, Tokyo 1718501, Japan