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We consider the problem of $\Omega$ bounds for the partial sums of a modifiedcharacter, \textit{i.e.}, a completely multiplicative function $f$ such that$f(p)=\chi(p)$ for all but a finite number of primes $p$, where $\chi$ is aprimitive Dirichlet character. We prove that in some special circumstances,$\sum_{n\leq x}f(n)=\Omega((\log x)^{|S|})$, where $S$ is the set of primes $p$where $f(p)\neq \chi(p)$. This gives credence to a corrected version of aconjecture of Klurman et al., Trans. Amer. Math. Soc., 374 (11), 2021,7967-7990. We also compute the Riesz mean of order $k$ for large $k$ of amodified character, and show that the Diophantine properties of the irrationalnumbers of the form $\log p / \log q$, for primes $p$ and $q$, give informationon these averages.

$\Omega$-bounds for the partial sums of some modified Dirichlet characters