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A further study on value distribution of the Riemann zeta‐function
Author(s) -
Lü Feng
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700033
Subject(s) - mathematics , riemann zeta function , riemann hypothesis , particular values of riemann zeta function , riemann xi function , uniqueness , arithmetic zeta function , function (biology) , pure mathematics , mathematical analysis , value (mathematics) , prime zeta function , statistics , evolutionary biology , biology
The paper concerns the uniqueness problem of Riemann zeta‐function. It is showed that the Riemann zeta‐function is uniquely determined in terms of the preimages of three complex values a , b , 0 except possibly a set G with n ( r , G ) = o ( r ) , where G is called an exceptional set.
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