التفاصيل البيبلوغرافية
| العنوان: |
An asymptotic expansion for a Lambert series associated to the symmetric square L-function. |
| المؤلفون: |
Juyal, Abhishek, Maji, Bibekananda, Sathyanarayana, Sumukha |
| المصدر: |
International Journal of Number Theory; Apr2023, Vol. 19 Issue 3, p553-567, 15p |
| مصطلحات موضوعية: |
ASYMPTOTIC expansions, L-functions, MODULAR groups, ZETA functions, MELLIN transform |
| مستخلص: |
Hafner and Stopple proved a conjecture of Zagier that the inverse Mellin transform of the symmetric square L -function associated to the Ramanujan tau function has an asymptotic expansion in terms of the nontrivial zeros of the Riemann zeta function ζ (s). Later, Chakraborty et al. extended this phenomenon for any Hecke eigenform over the full modular group. In this paper, we study an asymptotic expansion of the Lambert series y k ∑ n = 1 ∞ λ f (n 2) exp (− n y) , as y → 0 + , where λ f (n) is the n th Fourier coefficient of a Hecke eigenform f (z) of weight k over the full modular group. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
