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

[21] On p-Adic L-Functions for Hilbert Modular Forms
Bergdall, John
Hansen, David
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 298 (1489)
[22] Upper bounds for constant slope p-adic families of modular forms
Bergdall, John
SELECTA MATHEMATICA-NEW SERIES, 2019, 25 (04):
[23] ON SYMMETRIC POWER &ITL&IT-INVARIANTS OF IWAHORI LEVEL HILBERT MODULAR FORMS
Harron, Robert
Jorza, Andrei
AMERICAN JOURNAL OF MATHEMATICS, 2017, 139 (06) : 1605 - 1647
[24] Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II
Harron, Robert
Pottharst, Jonathan
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2016, 28 (03): : 655 - 677
[25] p-adic L-functions of Hilbert cusp forms and the trivial zero conjecture
Barrera, Daniel
Dimitrov, Mladen
Jorza, Andrei
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2022, 24 (10) : 3439 - 3503
[26] LUBIN-TATE THEORY AND OVERCONVERGENT HILBERT MODULAR FORMS OF LOW WEIGHT
Porat, Gal
ISRAEL JOURNAL OF MATHEMATICS, 2022, 249 (01) : 431 - 476
[27] The weight reduction of mod p Siegel modular forms for GSp4 and theta operators
Yamauchi, Takuya
MATHEMATISCHE ZEITSCHRIFT, 2023, 303 (01)
[28] A Sequence of Modular Forms Associated with Higher-Order Derivatives of Weierstrass-Type Functions
Aygunes, A. Ahmet
Simsek, Yilmaz
Srivastava, H. M.
FILOMAT, 2016, 30 (12) : 3253 - 3263
[29] Low-lying zeros for L-functions associated to Hilbert modular forms of large level
Liu, Sheng-Chi
Miller, Steven J.
ACTA ARITHMETICA, 2017, 180 (03) : 251 - 266
[30] Iwasawa Theory of Elliptic Modular Forms Over Imaginary Quadratic Fields at Non-ordinary Primes
Buyukboduk, Kazim
Lei, Antonio
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (14) : 10654 - 10730

← 1 2 3 4 →