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math.NT2025
Jacobi Forms of Affine Weight in Higher Cogenus and Nearly Holomorphic Functions
Jan Feldmann, Martin Raum
We describe Jacobi forms of vector-valued weights in terms of classical ones, extending previous results by Ibukiyama and Kyomura to the case of arbitrary cogenus. As in their resu…
math.NT2025
Correction to "Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series"
Jan Hendrik Bruinier, Martin Raum
We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.
math.NT2025
Eisenstein series modulo
Scott Ahlgren, Michael Hanson, Martin Raum +1
We study congruences for Eisenstein series on modulo , where is prime. It is classically known that all Eisenstein series of weight at l…