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math.NT2024
Divisor problems for restricted Fourier coefficients of modular forms
Yuk-Kam Lau, Wonwoong Lee
Let be the number of divisors of . We investigate the average value of for a positive integer and the -th Fourier coefficient of a cuspidal…
math.NT2024
Moment of derivatives of L-functions for two distinct newforms
Seokhyun Choi, Beomho Kim, Hansol Kim +2
We establish an unconditional result concerning the asymptotic formula for the moment of derivatives of -functions over quadratic…
math.NT2024
On the real zeros of depth 1 quasimodular forms
Bo-Hae Im, Wonwoong Lee
We discuss the critical points of modular forms, or more generally the zeros of quasimodular forms of depth for . In particular, we consider the deri…