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Results tagged with nt.number-theory
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user 8003
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
6
votes
1
answer
353
views
Factors of polynomials of bounded height
Let $f(x)=a_nx^n+\cdots+a_0 \in \mathbb{Z}[x]$ be an integer polynomial in one variable. Recall that the height $H(f):=\textrm{max}\,|a_n|$ is the largest coefficient. Consider the set of polynomials …
- 1,493
7
votes
1
answer
367
views
Modularity of certain theta series associated to hyperbolic lattice
Let $L$ be an even hyperbolic lattice, i.e. a free $\mathbb{Z}$-module with a non-degenerate inner product $\cdot$ valued in $\mathbb{Z}$ of signature $(1,n)$ such that the norm of every vector is eve …
- 1,493
1
vote
Modularity of certain theta series associated to hyperbolic lattice
For the purpose of someone seeing this question, I'll describe what I've figured out so far, which I think elaborates on Paul's comment. Though a warning: This isn't my forte so there may be errors. A …
- 1,493