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Myshkin
Myshkin
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letLet $k$ be an even integer and $p$ a prime number such that $p-1|k$. 

Suppose that $p$ does not divide $L(1-k,\chi)$ and $L(1-k,\psi)$, where $\chi$ and $\psi$ are quadratic characters. 

Can we deduce that $p$ does not divide $L(1-k,\chi.\psi)$  ? thanks in advance.

let $k$ be an even integer and $p$ a prime number such that $p-1|k$. Suppose that $p$ does not divide $L(1-k,\chi)$ and $L(1-k,\psi)$, where $\chi$ and $\psi$ are quadratic characters. Can we deduce that $p$ does not divide $L(1-k,\chi.\psi)$  ? thanks in advance.

Let $k$ be an even integer and $p$ a prime number such that $p-1|k$. 

Suppose that $p$ does not divide $L(1-k,\chi)$ and $L(1-k,\psi)$, where $\chi$ and $\psi$ are quadratic characters. 

Can we deduce that $p$ does not divide $L(1-k,\chi.\psi)$?

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user92196
user92196
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Divisibility of Dirichlet L-functions

let $k$ be an even integer and $p$ a prime number such that $p-1|k$. Suppose that $p$ does not divide $L(1-k,\chi)$ and $L(1-k,\psi)$, where $\chi$ and $\psi$ are quadratic characters. Can we deduce that $p$ does not divide $L(1-k,\chi.\psi)$ ? thanks in advance.