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Showing 1 to 3 of 3 for “"Siegel modular forms"”.
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Siegel modulator form (mod p) and algebraic modular forms
… that the systems of Hecke eigenvalues given by modular forms (mod p) are the same as the ones given by locally constant functions ... , where B is the endomorphism algebra of a supersingular elliptic curve. After giving a detailed exposition of Serre's result, we prove that the systems of Hecke …
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Congruences in modular, Jacobi, Siegel, and mock modular forms with applications
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously found congruences for the partition function like p(5n+4) = 0 mod 5. For a wide class of modular forms, we classify the primes for which there can be analogous congruences in the coefficients of the …
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Mathematical Aspects of Field Theory: Nahm's Equations and Jacobi Forms
… In the second project, we consider weak Jacobi forms of weight 0. The polar coefficients of such weak Jacobi form are known to uniquely determine the weak Jacobi form, and we improve on the number of polar coefficients that determine the weight 0 form. Weak Jacobi forms of weight 0 may be …