Second order average estimates on local data of cusp forms
نویسندگان
چکیده
منابع مشابه
Second order average estimates on local data of cusp forms
We specify sufficient conditions for the square modulus of the local parameters of a family of GLn cusp forms to be bounded on average. These conditions are global in nature and are satisfied for n ≤ 4. As an application, we show that Rankin-Selberg L-functions on GLn1 × GLn2 , for ni ≤ 4, satisfy the standard convexity bound.
متن کاملSecond Order Average Estimates on Local Data of Cusp Forms1
We specify sufficient conditions for the square modulus of the local parameters of a family of GLn cusp forms to be bounded on average. These conditions are global in nature and are satisfied for n ≤ 4. As an application, we show that Rankin-Selberg L-functions on GLn1 × GLn2 , for ni ≤ 4, satisfy the standard convexity bound.
متن کاملThe Classification of Higher-order Cusp Forms
In this paper we establish the complete classification of cusp forms of all orders. Higher-order cusp forms constitute a natural extension of the notion of classical cusp forms and they have attracted the interest of several researchers in the broader area of automorphic forms during the last few years. Reasons for this interest include its relevance for new approaches to problems related to th...
متن کاملSecord-order Cusp Forms and Mixed Mock Modular Forms
In this paper, we consider the space of second order cusp forms. We determine that this space is precisely the same as a certain subspace of mixed mock modular forms. Based upon Poincaré series of Diamantis and O’Sullivan [21] which span the space of second order cusp forms, we construct Poincaré series which span a natural (more general) subspace of mixed mock modular forms.
متن کاملOn covariance coefficients estimates of finite order moving average processes
In the present paper the necessary and sufficient conditions for the estimates of covariance coefficients of moving average processes are presented. Further the modification for estimates of Wilson's method covariance coefficients is introduced.
متن کاملذخیره 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: Archiv der Mathematik
سال: 2006
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-005-1632-3