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Explore the construction of split anticyclotomic Euler systems in mathematical settings where traditional local multiplicity one conditions fail. Learn about a novel approach that replaces conventional zeta integral methods with techniques based on the unramified Plancherel formula to prove the existence of necessary test vectors. Discover how this innovative methodology addresses challenges in the twisted Friedberg-Jacquet setting, where standard approaches encounter difficulties due to the absence of local multiplicity one. Examine the collaborative research findings that demonstrate the viability of this alternative framework for constructing the tame components of Euler systems. Gain insights into advanced number theory concepts including anticyclotomic structures, test vector theory, and the application of harmonic analysis techniques to problems in arithmetic geometry and automorphic forms.
