Unsolved problems in number theory

Unsolved problems in number theory
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DOI:
10.1023/a:1015236305093
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发表时间:
2001-02
影响因子:
0.8
通讯作者:
A. Sárközy
A. Sárközy
中科院分区:
数学4区
文献类型:
--
作者:
A. Sárközy

文献摘要

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本文提出并布里讨论了数论中68个尚未解决的问题和定理。所涉及的主题是:加法表示函数、Erdens-Fuchs定理、乘法问题(涉及一般序列)、加法和乘法Sidon集、混合问题(即,涉及特殊序列和一般序列的问题)、算术函数、最大素因子函数和混合问题。
68 unsolved problems and conjectures in number theory are presented and brie y discussed. The topics covered are: additive representation functions, the Erdős-Fuchs theorem, multiplicative problems (involving general sequences), additive and multiplicative Sidon sets, hybrid problems (i.e., problems involving both special and general sequences), arithmetic functions, the greatest prime factor func- tion and mixed problems.