ON EXTREMAL QUASI-MODULAR FORMS AFTER KANEKO AND KOIKE

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2019-10-25 DOI:10.2206/kyushujm.74.401

F. Pellarin, G. Nebe

引用次数: 8

Abstract

Kaneko and Koike introduced the notion of extremal quasi-modular form and proposed conjectures on their arithmetic properties. The aim of this note is to prove a rather sharp multiplicity estimate for these quasi-modular forms. The note ends with discussions and partial answers around these conjectures and an appendix by G. Nebe containing the proof of the integrality of the Fourier coefficients of the normalised extremal quasimodular form of weight 14 and depth 1.

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在kaneko和koike之后的极值拟模形式

Kaneko和Koike引入了极值拟模形式的概念，并对其算术性质提出了猜想。本文的目的是证明这些准模形式的一个相当尖锐的重性估计。笔记以围绕这些猜想的讨论和部分答案结束，G. Nebe的附录包含了权值14和深度1的归一化极值拟模形式的傅里叶系数的完整性证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.