KLEIN'S FORMULAS AND ARITHMETIC OF TEICHMULLER MODULAR FORMS

被引：2

作者：

Ichikawa, Takashi ^{[1
]}

机构：

[1] Saga Univ, Grad Sch Sci & Engn, Dept Math, Saga 8408502, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 12期

基金：

日本学术振兴会;

关键词：

Modular forms; algebraic and arithmetic geometry; THETANULLWERTE; CURVES;

D O I：

10.1090/proc/14244

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply the arithmetic theory of Teichmuller modular forms to calculating constants in relations, which are connected with Klein's (amazing) formulas, between certain invariants of canonical curves of genus g = 3, 4.

引用

页码：5105 / 5112

页数：8

共 14 条

[1] THE LOWEST TERM OF THE SCHOTTKY MODULAR FORM [J].

BRINKMANN, B ;

GERRITZEN, L .

MATHEMATISCHE ANNALEN, 1992, 292 (02) :329-335

[2] EQUATIONS DEFINING THE PERIODS OF TOTALLY DEGENERATE CURVES [J].

GERRITZEN, L .

ISRAEL JOURNAL OF MATHEMATICS, 1992, 77 (1-2) :187-210

[3] Theta constants and Teichmuller modular forms [J].

Ichikawa, T .

JOURNAL OF NUMBER THEORY, 1996, 61 (02) :409-419

[4] Generalized Tate curve and integral Teichmuller modular forms [J].

Ichikawa, T .

AMERICAN JOURNAL OF MATHEMATICS, 2000, 122 (06) :1139-1174

[5]

Igusa J.-I., 1981, SCHOTTKYS INVARIANT, P352, DOI DOI 10.1007/978-3-0348-5452-8_24

[6]

Igusa Jun-ichi, 1987, P S PURE MATH 2, V49, P101

[7]

Klein F., 1890, MATH ANN, V36, P1, DOI 10.1007/BF01199432

[8]

Lachaud G., 2008, NUMBER THEORY APPL, V5, P88

[9]

Lachaud G, 2010, MATH RES LETT, V17, P323

[10]

Matone M, 2013, P AM MATH SOC, V141, P2575

← 1 2 →