تقرير
P-adic Rankin-Selberg L-functions in universal deformation families and functional equations
| العنوان: | P-adic Rankin-Selberg L-functions in universal deformation families and functional equations |
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| المؤلفون: | Hao, Zeping, Loeffler, David |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11F67, 11F80, 11R23 |
| الوصف: | We construct a $p$-adic Rankin-Selberg $L$-function associated to the product of two families of modular forms, where the first is an ordinary (Hida) family, and the second an arbitrary universal-deformation family (without any ordinarity condition at $p$). This gives a function on a 4-dimensional base space - strictly larger than the ordinary eigenvariety, which is 3-dimensional in this case. We prove our $p$-adic $L$-function interpolates all critical values of the Rankin-Selberg $L$-functions for the classical specialisations of our family, and derive a functional equation for our $p$-adic $L$-function. Comment: Based on the first author's University of Warwick PhD thesis. 21 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.12611 |
| رقم الأكسشن: | edsarx.2405.12611 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |