On the zeros of weakly holomorphic modular forms

Author:

Gun Sanoli,Saha Biswajyoti

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. Asai T., Kaneko M., Ninomiya H.: Zeros of certain modular functions and an application. Comment. Math. Univ. St. Paul. 46, 93–101 (1997)

2. Chowla C., Selberg A.: On Epstein’s zeta-function, J. Reine Angew. Math. 227, 86–110 (1967)

3. Chudnovsky G.V.: Algebraic independence of constants connected with the exponential and the elliptic functions. Dokl. Akad. Nauk Ukrain. SSR Ser. A 8, 698–701 (1976)

4. G. V. Chudnovsky, Contributions to the theory of transcendental numbers, Mathematical Surveys and Monographs 19, Amer. Math. Soc., 1984.

5. Cox D.: Primes of the form x 2 + ny 2. John Wiley and Sons, New York (1989)

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1. Proportion of modular forms with transcendental zeros for general levels;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2023-02-10

2. The transcendence of zeros of natural basis elements for the space of the weakly holomorphic modular forms for $\Gamma_{0}^{+}(3)$;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2022-07-29

3. Density of modular forms with transcendental zeros;Journal of Mathematical Analysis and Applications;2021-08

4. The transcendence of zeros of canonical basis elements of the space of weakly holomorphic modular forms for Γ0(2);Journal of Number Theory;2019-11

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