WebThe purpose of this paper is to exhibit an explicit formula which describes the projection operator from the space of C°° automorphic forms to the subspace of holomorphic cusp forms, and to apply it to the zeta functions of Rankin type. Fix a number k > 0 such that 2k G Z. Let TV be a positive integer such that TV = 0 mod(4) if k fi Z, and let x(Z/NZ) —+ C be … WebThis paper concerns the Tamagawa number conjecture of Bloch and Kato [B-K] for adjoint motives of modular forms of weight k ≥ 2. The conjecture relates the value at 0 of the …
Dirichlet series - Encyclopedia of Mathematics
WebDOI: 10.1007/BF01394326 Corpus ID: 122998669; On the critical values of certain Dirichlet series and the periods of automorphic forms @article{Shimura1988OnTC, … Web1 de jul. de 2024 · Furthermore, we give as an application an asymptotic formula for the averages of certain “wide” families of automorphic L-functions consisting of central values of the form L ... [34] G. Shimura, On the holomorphy of certain Dirichlet series, Proc. Lond. Math. Soc. (3) 31 (1975), no. 1, 79–98. Search in Google Scholar incarnation\\u0027s kf
Analytic Continuation of Dirichlet Series with Almost Periodic ...
Web1 de jul. de 2014 · On the holomorphy of certain Dirichlet series. Proc. London Math. Soc. (3), 31 (1975), pp. 79-98. CrossRef View in Scopus Google Scholar. Cited by (0) ... WebOn a convolution ofL-series. Invent. Math.7, 297–312 (1969) Google Scholar Petersson, H.: Über die Berechnung der Skalarprodukte ganzer Modulformen. Comment. Math. … WebDirichlet series can be used as generating series for counting weighted sets of objects with respect to a weight which is combined multiplicatively when taking Cartesian products. Suppose that A is a set with a function w : A → N assigning a weight to each of the elements of A , and suppose additionally that the fibre over any natural number under that weight … incarnation\\u0027s kb