## Tagged Questions

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### Norm estimation of an area integral

I am solving a certain kind of integral equations using iteration and Volterra series. Now I get a formal solution and in order to prove convergence I need to estimate the $L^1$ an …
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### Existence and uniqueness of a matrix differential equation with L^1 coefficients

I came across the following differential equation when considering some direct scattering problems: $$N'_x(x,z)=G(x,z)N(x,z)$$ where $N(x,z)$ is a $2\times2$ complex matrix wit …
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### Amalgamation of two ccc algebras may collapse the continuum

The claim that appears in the title of this question is mentioned in the paper "On Shelah's amalgamation" by Judah and Roslanowski. I'd really like to see a proof of this fact, but …
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### Field generated by the Fourier coefficients of a modular form

Let $f = \sum_n a_n q^n$ be a cuspidal newform of weight $k$ on $\Gamma_0(N)$ for some $N$. Let $K_f$ be the number field generated by the $a_q$ as $q$ runs over all primes. My q …
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### decidability of matrix generating group

For a given set $S$ of complex square matrices $M1,M2\cdots,Mn$, one can obtain a matrix group $G$ generated by matrx multiplication. For any $i$, we can define a matrix space $Gi$ …
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### Proof that a finitely generated projective module over a Von Neumann Regular ring is free

I'm searching for a proof that a finitely generated projective module over a Von Neumann Regular ring is free. I know that this result is true, because a friend of mine have proved …
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### Avoiding reflexive paradox in set theory

I am an amateur mathematician, and certainly not a set theorist, but there seems to me to be an easy way around the reflexive paradox: Add to set theory the primitive $A(x,y)$, whi …
Fix a positive integer $d \geq 2$, and let $n,k$ be natural numbers with $k \leq n$. Let $b(n,k)$ denote the number of monomials of degree $kd-(n+1)$ in $n+1$ variables \$x_0,\ldo …