Multiplicity one for analytic L -functions and applications

Key Points

• The aim is to establish conditions for when two Euler products of L-functions are identical based on their coefficients and functional equations.
• Proving conditions for identical Euler products under functional equations.
• Analyzing coefficients' size and difference limitations.
• Deriving multiplicity one results linked to L-functions.
• Presented conditions yielding stronger multiplicity one results for certain L-functions.
• Demonstrated weaker hypotheses compared to earlier multiplicity one theorems.
• Stronger results achieved when L-functions are identified as automorphic.