Quantitative non-vanishing of central values of certain L-functions on $${{\text {GL}}}(2)\times {{\text {GL}}}(3)$$

نویسندگان

چکیده

Let $$\phi $$ be an even Hecke–Maass cusp form on $${{\text {SL}}}_2({\mathbb {Z}})$$ whose L-function does not vanish at the center of functional equation. In this article, we obtain exact formula average triple products , f and $${\bar{f}}$$ where runs over orthonormal basis $$H_k$$ Hecke eigen elliptic forms a fixed weight $$k\geqslant 4$$ . As application, prove quantitative non-vanishing results central values for family degree 6 L-functions $$L(s,\phi \times \mathrm{Ad}\,f)$$ with in union $$(\mathrm{K}\leqslant k<2\mathrm{K})$$ as $$\mathrm{K}\rightarrow \infty

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

the impact of skopos on syntactic features of the target text

the present study is an experimental case study which investigates the impacts, if any, of skopos on syntactic features of the target text. two test groups each consisting of 10 ma students translated a set of sentences selected from advertising texts in the operative and informative mode. the resulting target texts were then statistically analyzed in terms of the number of words, phrases, si...

15 صفحه اول

the impact of musical texts on the text recall of young learners of english in isfahan junior high schools

abstract although music possesses some kind of power and using it has been welcome by many students in language classrooms, it seems that they take a non-serious image of the lesson while listening to songs and they may think that it is a matter of fun. the main objective of the present study was to investigate whether learning a foreign language through musical texts (songs) can have an impac...

15 صفحه اول

Non-vanishing Results of Special Values of L-functions

Here are the notes I am taking for Eric Urban’s ongoing course on non-vanishing results of special values of L-functions offered at Columbia University in Spring 2015 (MATH G6675: Topics in Number Theory). As the course progresses, these notes will be revised. I recommend that you visit my website from time to time for the most updated version. Due to my own lack of understanding of the materia...

متن کامل

ideological and cultural orientations in translation of narrative text: the case of hajji baba of isfahan

در میان عواملی که ممکن است ذهن مترجم را هنگام ترجمه تحت تأثیر قرار دهند، می توان به مقوله انتقال ایدئولوژی از طریق متن یا گفتمان اشاره کرد. هدف از این تحقیق تجزیه و تحلیل جنبه های ایدئولوژیکی و فرهنگی متن مبدأ انگلیسی نوشته جیمز موریه تحت عنوان سرگذشت حاجی بابای اصفهانی ( 1823) و ترجمه فارسی میرزا حبیب اصفهانی(1880) بوده است.

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2022

ISSN: ['1432-1823', '0025-5874']

DOI: https://doi.org/10.1007/s00209-021-02886-5