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math.NT2023
Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant
Hiroyuki Ochiai, Satoshi Wakatsuki, Shun'ichi Yokoyama
In this paper, we present an algorithm to compute a basis of the space of algebraic modular forms on the maximal order of the definite quaternion algebra of discriminant , and p…
math.NT2023
Non-vanishing theorems for prime twists of some modular -functions
Masataka Chida, Satoshi Wakatsuki
In this paper, we give some non-vanishing results on the central values of prime twists of modular -functions by imaginary quadratic fields for specific elliptic modular forms.…