Differential operators on modular extensions
نویسندگان
چکیده
منابع مشابه
Differential operators on Hilbert modular forms
We investigate differential operators and their compatibility with subgroups of SL2(R) n. In particular, we construct Rankin–Cohen brackets for Hilbert modular forms, and more generally, multilinear differential operators on the space of Hilbert modular forms. As an application, we explicitly determine the Rankin– Cohen bracket of a Hilbert–Eisenstein series and an arbitrary Hilbert modular for...
متن کاملModular forms and differential operators
A~tract, In 1956, Rankin described which polynomials in the derivatives of modular forms are again modular forms, and in 1977, H Cohen defined for each n i> 0 a bilinear operation which assigns to two modular forms f and g of weight k and l a modular form If, g], of weight k + l + 2n. In the present paper we study these "Rankin-Cohen brackets" from t w o points of view. On the one hand we give ...
متن کاملBurchnall-Chaundy Theory, Ore Extensions and σ-Differential Operators
We show how a general analog of a classical theorem of Burchnall and Chaundy follows by a simple application of resultants of Ore polynomials. This is then supplemented with several examples. In the last section we provide bracket for generalized differential operators generalizing the Lie bracket for ordinary differential operators. We also pose, in our opinion, interesting questions that we f...
متن کاملTowards Modular Extensions for a Modular Language
Modularity allows the construction of complex designs from simpler, independent units that most of the time can be developed separately. In this paper we are concerned with developing mechanisms for easily implementing modular extensions to modular (logic) languages. By (language) extensions we refer to different groups of syntactic definitions and translation rules that extend a language. Our ...
متن کاملModular Extensions for Modular (Logic) Languages
We address the problem of developing mechanisms for easily implementing modular extensions to modular (logic) languages. By (language) extensions we refer to different groups of syntactic definitions and translation rules that extend a language. Our use of the concept of modularity in this context is twofold. We would like these extensions to be modular, in the sense above, i.e., we should be a...
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: Journal of Commutative Algebra
سال: 2015
ISSN: 1939-2346
DOI: 10.1216/jca-2015-7-3-447