Drinfeld modular forms modulo $\mathfrak{p}$

نویسندگان

چکیده

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

Hilbert Modular Forms Modulo p: The Unramified Case

This paper is about Hilbert modular forms on certain Hilbert modular varieties associated with a totally real field L. Let p be unramified in L. We reduce to the inert case and consider modular forms modulo p. We study the ideal of modular forms with q-expansion equal to zero modulo p, find canonical elements in it, and obtain as a corollary the congruences for the values of the zeta function o...

متن کامل

Fourier Coefficients of Half - Integral Weight Modular Forms modulo `

S. Chowla conjectured that every prime p has the property that there are infinitely many imaginary quadratic fields whose class number is not a multiple of p. Gauss’ genus theory guarantees the existence of infinitely many such fields when p = 2, and the work of Davenport and Heilbronn [D-H] suffices for the prime p = 3. In addition, the DavenportHeilbronn result demonstrates that a positive pr...

متن کامل

THE EFFECTIVE CHEBOTAREV DENSITY THEOREM AND MODULAR FORMS MODULO m

Suppose that f (resp. g) is a modular form of integral (resp. half-integral) weight with coefficients in the ring of integers OK of a number field K. For any ideal m ⊂ OK , we bound the first prime p for which f | Tp (resp. g | Tp2) is zero (mod m). Applications include the solution to a question of Ono [AO] concerning partitions.

متن کامل

Uniformization of Drinfeld Modular Curves

These are notes from a talk in the Arithmetic Geometry Learning Seminar on Drinfeld modules during the fall of 2017. In this talk, we discuss the uniformization of the Drinfeld modular curves (of fixed rank, with level structure), following [Dri74, §6]. In addition, we introduce the relevant rigid-analytic background. The exposition draws heavily on [DH87, Gek86]. 1. Uniformization of Complex M...

متن کامل

Modular Church-Rosser Modulo

In [12], Toyama proved that the union of two confluent term-rewriting systems that share absolutely no function symbols or constants is likewise confluent, a property called modularity. The proof of this beautiful modularity result, technically based on slicing terms into an homogeneous cap and a so called alien, possibly heterogeneous substitution, was later substantially simplified in [5, 11]...

متن کامل

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: Proceedings of the American Mathematical Society

سال: 2010

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-2010-10459-8