Congruences for modular forms of weights two and four

被引：3
|
作者：
Ahlgren, Scott
Barcau, Mugurel
机构：
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Acad Romana, Math Inst, RO-70700 Bucharest, Romania
来源：
JOURNAL OF NUMBER THEORY | 2007年 / 126卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/j.jnt.2006.11.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a conjecture of Calegari and Stein regarding mod p congruences between modular forms of weight four and the derivatives of modular forms of weight two. (C) 2007 Elsevier Inc. All rights reserved.
引用
下载
收藏
页码：193 / 199
页数：7
相关论文
共 50 条
  • [1] Congruences for Siegel modular forms and their weights
    Boecherer, Siegfried
    Nagaoka, Shoyu
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2010, 80 (02): : 227 - 231
  • [2] Congruences for Siegel modular forms and their weights
    Siegfried Böcherer
    Shoyu Nagaoka
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2010, 80 : 227 - 231
  • [3] On Ramanujan congruences for modular forms of integral and half-integral weights
    Datskovsky, B
    Guerzhoy, P
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (08) : 2283 - 2291
  • [4] Non-Existence of Ramanujan Congruences in Modular Forms of Level Four
    Dewar, Michael
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2011, 63 (06): : 1284 - 1306
  • [5] CONGRUENCES RELATED TO MODULAR FORMS
    Verrill, H. A.
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (06) : 1367 - 1390
  • [6] CONGRUENCES VIA MODULAR FORMS
    Osburn, Robert
    Sahu, Brundaban
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (07) : 2375 - 2381
  • [7] Slopes of modular forms and congruences
    Ulmer, DL
    ANNALES DE L INSTITUT FOURIER, 1996, 46 (01) : 1 - &
  • [8] Congruences between modular forms
    Jack A Thorne
    Proceedings - Mathematical Sciences, 134
  • [9] Congruences between modular forms
    Thorne, Jack A.
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2024, 134 (01):
  • [10] CONGRUENCES FOR SIEGEL MODULAR FORMS
    Choi, Dohoon
    Choie, YoungJu
    Richter, Olav K.
    ANNALES DE L INSTITUT FOURIER, 2011, 61 (04) : 1455 - 1466
12345