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Title: Strong multiplicity one for Siegel cusp forms of degree two

Abstract: The classical multiplicity one theorem has been strengthened significantly for modular forms by Rajan. He has shown that if two normalized eigenforms have the same (normalized) Hecke eigenvalues for primes of positive upper density, then one is the character twist of the other. This is called a strong multiplicity one theorem. The first result in the direction of multiplicity one result for Siegel modular forms of degree two was obtained only recently in 2018 by Schmidt. By following the approach of Rajan, we will prove a strong multiplicity one theorem for Siegel cuspidal eigenforms of degree two and level one. The methods involve Galois representations associated to Siegel cusp forms, a multiplicity one result for Galois representations, and finally the result due to Schmidt. This is based on joint work with J. Meher and K. D. Shankhadhar.  


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