تقرير
Rankin-Selberg coefficients in large arithmetic progressions
| العنوان: | Rankin-Selberg coefficients in large arithmetic progressions |
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| المؤلفون: | Kowalski, Emmanuel, Lin, Yongxiao, Michel, Philippe |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11F11, 11N75 |
| الوصف: | Let $(\lambda_f(n))_{n\geq 1}$ be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form $f$. We prove that, for any fixed $\eta>0$, under the Ramanujan-Petersson conjecture for $\rm GL_2$ Maass forms, the Rankin-Selberg coefficients $(\lambda_f(n)^2)_{n\geq 1}$ admit a level of distribution $\theta=2/5+1/260-\eta$ in arithmetic progressions. Comment: accepted for publication in SCIENCE CHINA Mathematics |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s11425-023-2155-6 |
| الوصول الحر: | http://arxiv.org/abs/2304.08231Test |
| رقم الانضمام: | edsarx.2304.08231 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s11425-023-2155-6 |
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