| Title | Joint universality of the zeta-functions of cusp forms / |
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| Authors | Macaitienė, Renata |
| DOI | 10.3390/math917216 |
| Full Text |
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| Is Part of | Mathematic.. Basel : MDPI. 2021, vol. 9, no. 17, art. no. 2161, p. [1-13].. eISSN 2227-7390 |
| Keywords [eng] | Hecke-eigen cusp form ; joint universality ; universality ; zeta-function |
| Abstract [eng] | Let F be the normalized Hecke-eigen cusp form for the full modular group and \zeta(s, F) be the corresponding zeta-function. In the paper, the joint universality theorem on the approximation of a collection of analytic functions by shifts (\zeta(s + ih_1 \tau, F), . . . , \zeta(s + ih_r \tau, F)) is proved. Here, h_1, . . . , h_r are algebraic numbers linearly independent over the field of rational numbers. |
| Published | Basel : MDPI |
| Type | Journal article |
| Language | English |
| Publication date | 2021 |
| CC license |
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