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Results tagged with nt.number-theory
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user 116825
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
3
votes
Existence of solution for a system of quadratic diophantine equations / symmetric quadratic ...
This sketch of a half-answer is based on and is developing the ideas of Max’ answer. He works with $\mathbb Q[I,x]$ with $I^2=-1$ modulo the cyclotomic polynomial $\Phi_p(x)$. Writing $x$ as $z^4$ an …
- 455
3
votes
0
answers
135
views
The mystery of the jumps of functions with the prescribed jumps: Eisenstein series and hidde...
Say that a function $f(t)$ “changes only by jumps” if $f(t) + \text{const} = C ∑_k j_k θ(t-t_k)$ for a certain constant $C$. Here $θ(t)$ is the Heaviside
step function which has a jump 1 at $t=0$ (it …
- 455
2
votes
Is there a Poisson Summation formula for imprimitive Dirichlet characters?
Yes, of course.
Poisson summation formula has nothing to do with characters. If χ is any periodic function, all you need to do is to replace χ̅ by the discrete Fourier Transform of χ.
- 455