التفاصيل البيبلوغرافية
| العنوان: |
Large Fourier coefficients of half-integer weight modular forms |
| المؤلفون: |
Gun, S., Kohnen, W., Soundararajan, K. |
| سنة النشر: |
2020 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Number Theory, 11F37, 11F30 |
| الوصف: |
This article is concerned with the Fourier coefficients of cusp forms (not necessarily eigenforms) of half-integer weight lying in the plus space. We give a soft proof that there are infinitely many fundamental discriminants $D$ such that the Fourier coefficients evaluated at $|D|$ are non-zero. By adapting the resonance method, we also demonstrate that such Fourier coefficients must take quite large values. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2004.14450 |
| رقم الانضمام: |
edsarx.2004.14450 |
| قاعدة البيانات: |
arXiv |