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A uniqueness theorem for functions in the extended Selberg class
http://link.springer.com/10.1007%2Fs00209-014-1343-1
995-1004
2014-12-01
2014-12
false
2019-04-10T15:05
research_article
en
We study the uniqueness of functions in the extended Selberg class. It was shown in Ki (Adv Math 231, 2484–2490, 2012) that if for a nonzero complex number c the inverse images L1-1(c) and L2-1(c) of two functions satisfying the same functional equation in the extended Selberg class are the same, then L1(s) and L2(s) are identical. Here we prove that this holds even without the assumption that they satisfy the same functional equation.
articles
Gonek
Steven M.
Seoul National University
Department of Mathematics, Seoul National University, Seoul, Korea
Mathematical Sciences
5fd3b81dc1bf6de106d05bad875bc4ccf3e683b46691f94114cfb1a2379fb257
readcube_id
dimensions_id
pub.1020112078
Department of Mathematics, University of Rochester, 14627, Rochester, NY, USA
University of Rochester
Pure Mathematics
Haan
Jaeho
0025-5874
1432-1823
Mathematische Zeitschrift
Springer Nature - SN SciGraph project
Korea Institute for Advanced Study, Seoul, Korea
Department of Mathematics, Yonsei University, 120-749, Seoul, Korea
Korea Institute for Advanced Study
Ki
Haseo
doi
10.1007/s00209-014-1343-1
3-4
278