Slopes of Modular Forms and the Ghost Conjecture

被引：6

作者：

Bergdall, John ^{[1
]}

Pollack, Robert ^{[1
]}

机构：

[1] Boston Univ, Dept Math & Stat, 111 Cummington Mall, Boston, MA 02215 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 04期

关键词：

EIGENCURVE; BOUNDARY; FAMILIES;

D O I：

10.1093/imrn/rnx141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We formulate a conjecture on slopes of overconvergent p-adic cusp forms of any p-adic weight in the 0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes at the boundary of weight space.

引用

页码：1125 / 1144

页数：20

共 31 条

[1] Slopes of Modular Forms
Buzzard, Kevin
Gee, Toby
FAMILIES OF AUTOMORPHIC FORMS AND THE TRACE FORMULA, 2016, : 93 - 109
[2] Fourier coefficients and slopes of Drinfeld modular forms
Bandini, Andrea
Valentino, Maria
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023, : 2523 - 2553
[3] 2-adic slopes of Hilbert modular forms overQ(5)
Birkbeck, Christopher
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020, 52 (04) : 716 - 729
[4] An explicit computation of the Hecke operator and the ghost conjecture
Truong, Nha Xuan
RESEARCH IN NUMBER THEORY, 2023, 9 (02)
[5] OVERCONVERGENT MODULAR FORMS AND THEIR EXPLICIT ARITHMETIC
Vonk, Jan
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 58 (03) : 313 - 356
[6] Spectral halo for Hilbert modular forms
Ren, Rufei
Zhao, Bin
MATHEMATISCHE ANNALEN, 2022, 382 (1-2) : 821 - 899
[7] Iwasawa-Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)
Castella, Francesc
Liu, Zheng
Wan, Xin
FORUM OF MATHEMATICS SIGMA, 2022, 10
[8] CONGRUENCES RELATED TO MODULAR FORMS
Verrill, H. A.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (06) : 1367 - 1390
[9] Perfectoid Drinfeld Modular Forms
Nicole, Marc-Hubert
Rosso, Giovanni
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2021, 33 (03): : 1045 - 1067
[10] Level raising for p-adic Hilbert modular forms
Newton, James
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2016, 28 (03): : 621 - 653

← 1 2 3 4 →