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Pages
Nicolas Keng’s Homepage in Chinese
Graduate student in pure mathematics at Shandong University. Writings, seminars, talks, and open study materials in number theory and beyond.
Nicolas Keng’s Homepage in English
Nicolas Keng — M.S. student in pure mathematics at Shandong University.
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Posts
learnings
Differential Geometry
Published:
关于古典微分几何的复习笔记.
Iwaniec: Introduction to Analytic Number Theory
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这是Iwaniec解析数论一书的引言 Introduction 部分的翻译. 欢迎各位指正!
Basic Algebraic Number Theory
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关于代数数论1的笔记和练习.
Basic Elliptic Curves
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关于椭圆曲线基础内容的一些注记与习题.
Basic Analytic Number Theory
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研一SDU解析数论基础课程.
lectures
Lecture of Seminars about Basic Math
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这是我大三上学期为2023级同学开设的数学基础讨论班, 初衷是希望为有志于基础数学研究的新生打下一个比较坚实的 (课内分析学以外的) 基础.
Arithmetic Functions
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2023年应邀为新生 (和部分大二学生) 作的有关数论函数和Möbius反演变换的讲解.
Lecture of Science Popularization
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本科在山大 (主要是华协) 针对新生组织的科普与介绍性质的活动.
On the Herbrand–Ribet’s Theorems
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2026 春季学期在山大青岛校区的讨论班. 由我主讲, 介绍了 Herbrand–Ribet Theorem.
miscellanies
我的个人书单: 数论
Published: To be continue
这是我在学习数论过程中所参考的书籍列表. 一个更简单的参考资料合集在 MyLibs.
SDU数院试题&个人相关课程资料
Published: To be continue
这是我所整理的山东大学数学学院本科的若干试题和一些作业等资料, 部分由我打出或收集. 需要者自行下载, 欢迎投稿!
关于网站设立的初衷
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青岛随记
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这是我在青岛读研两年的一些经历与记忆.
publications
Quadratic Twists of $X_0(14)$
Published: To be continute
In preparation.