Uniqueness of L -functions and meromorphic functions under sharing of sets
Year: 2025
Type: article
Abstract: In [4], the authors proved that the zero set of a uniqueness polynomial, satisfying some additional conditions, becomes a unique range set for L -functions. They also determined the conditions under which a polynomial becomes a strong uniqueness polynomial for L -functions. These results are the improved version of one result of [3]. In this paper we obtain a number of uniqueness theorems for L -functions in the extended Selberg class, which significantly extend the results of [3] and [4] in a new direction and improve them in some cases. From our results we can show some classes of unique range sets for L -functions which cannot be found by the results of [3] and [4].
DOI: 10.5802/jtnb.1302
Authors: Abhijit Banerjee, Ha Huy Khoai, Arpita Kundu
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409003869