Geodesic
A study on value distribution of the Riemann zeta function
Filomat, Tome 35 (2021) no. 11, p. 3841

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DOI

We consider the unique determination of Riemann zeta function as a solution of its functional equaiton under the condition sharing value. Besides, we show how the Riemann zeta function is uniquely determined by one or two sharing values of truncated multiplicity. The results in present paper extend the theorems given by Li in [17] and Gao, Li in [12]. Moreover, we generalize the results to L-functions in the Selberg class
DOI : 10.2298/FIL2111841W
Classification : 11M36, 30D35
Keywords: Riemann zeta function, function equation, uniqueness, share value 
Aidi Wu; Weichuan Lin. A study on value distribution of the Riemann zeta function. Filomat, Tome 35 (2021) no. 11, p. 3841 . doi: 10.2298/FIL2111841W
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     title = {A study on value distribution of the {Riemann} zeta function},
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     year = {2021},
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     doi = {10.2298/FIL2111841W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111841W/}
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