On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial

DOI10.56754/0719-0646.2503.497zbMath1529.11097OpenAlexW4390756076MaRDI QIDQ6147450

Abhijit Banerjee, Arpita Kundu

Publication date: 15 January 2024

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.56754/0719-0646.2503.497

zbMATH Keywords

uniquenessmeromorphic functionshared setsstrong uniqueness polynomial\(L\) function

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

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• On the characterisations of a new class of strong uniqueness polynomials generating unique range sets
• Value distribution of \(L\)-functions
• Value distribution of \(L\)-functions and uniqueness questions of F. Gross
• Some further results on the unique range sets of meromorphic functions
• A uniqueness polynomial generating a unique range set and vice versa
• Determining an \(L\)-function in the extended Selberg class by its preimages of subsets
• On uniqueness of meromorphic functions sharing finite sets
• A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions
• Weighted value sharing and uniqueness of meromorphic functions
• The reduced unique range sets for entire or meromorphic functions
• On uniqueness polynomials for meromorphic functions
• Strong uniqueness polynomials: The complex case
• Value-sharing and uniqueness for $L$-functions
• Value distribution of L-functions concerning sharing sets
• Further investigations on unique range set under weight 0 and 1

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