Analytic continuation of a Dirichlet series. (English. Russian original) Zbl 0658.10045
Math. Notes 42, No. 5, 845-848 (1987); translation from Mat. Zametki 42, No. 5, 625-630 (1987).
See the review in Zbl 0637.10028.
MSC:
| 11M35 | Hurwitz and Lerch zeta functions |
| 30B40 | Analytic continuation of functions of one complex variable |
| 30B50 | Dirichlet series, exponential series and other series in one complex variable |
| 11F67 | Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols |
References:
| [1] | S. M. Voronin, ?Analytic continuation of certain Dirichlet series,? Trudy Mat. Inst. Akad. Nauk SSSR,157, 25-30 (1981). · Zbl 0474.10021 |
| [2] | I. M. Vinogradov, Elements of Number Theory [in Russian], Nauka, Moscow (1981). · Zbl 0547.10001 |
| [3] | J.-P. Serre, A Course in Arithmetic [Russian translation], Mir, Moscow (1972). |
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