Twists and resonance of $L$-functions, I
| Autor: | Jerzy Kaczorowski, Alberto Perelli |
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| Rok vydání: | 2016 |
| Předmět: |
11 M 41
Mathematics - Number Theory Applied Mathematics General Mathematics 010102 general mathematics Resonance 01 natural sciences Nuclear magnetic resonance 0103 physical sciences FOS: Mathematics Number Theory (math.NT) 010307 mathematical physics 0101 mathematics Funzioni L Selberg class Mathematics |
| Zdroj: | Journal of the European Mathematical Society. 18:1349-1389 |
| ISSN: | 1435-9855 |
| DOI: | 10.4171/jems/616 |
| Popis: | We obtain the basic analytic properties, i.e. meromorphic continuation, polar structure and bounds for the order of growth, of all the nonlinear twists with exponents $\leq 1/d$ of the L-functions of any degree $d \geq 1$ in the extended Selberg class. In particular, this solves the resonance problem in all such cases. 34 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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