搜索结果: 1-3 共查到“数论 by-product”相关记录3条 . 查询时间(0.063 秒)
On the Petersson scalar product of arbitrary modular forms
Petersson scalar product arbitrary modular forms Number Theory
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2012/4/18
We consider a natural extension of the Petersson scalar product to the entire space of modular forms of integral weight $k\ge 2$ for a finite index subgroup of the modular group. We show that Hecke op...
Product-free sets with high density
Product-free sets high density Number Theory
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2011/9/22
Abstract: We show that there are sets of integers with asymptotic density arbitrarily close to 1 in which there is no solution to the equation ab=c, with a,b,c in the set. We also consider some natura...
Squares in Polynomial Product Sequences
Squarefull numbers Polynomial Product Sequences Number Theory
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2011/8/31
Abstract: Let F(n) be a polynomial of degree at least 2 with integer coefficients. We consider the products N_x=\prod_{1 \le n \le x} F(n) and show that N_x should only rarely be a perfect power. In p...