  In this paper we study the following nonlinear fractional Choquard-Pekar
equation \begin{equation}\label{eq_abstract} (-\Delta)^s u + \mu u
=(I_\alpha*F(u)) F'(u) \quad \hbox{in}\ \mathbb{R}^N, \tag{$*$} \end{equation}
where $\mu>0$, $s \in (0,1)$, $N \geq 2$, $\alpha \in (0,N)$, $I_\alpha \sim
\frac{1}{|x|^{N-\alpha}}$ is the Riesz potential, and $F$ is a general
subcritical nonlinearity. The goal is to prove existence of multiple (radially
symmetric) solutions $u \in H^s(\mathbb{R}^N)$, by assuming $F$ odd or even: we
consider both the case $\mu>0$ fixed and the case $\int_{\mathbb{R}^N} u^2
=m>0$ prescribed. Here we also simplify some arguments developed for $s=1$ in
[Calc. Var. PDEs, 2022].
  A key point in the proof is given by the research of suitable
multidimensional odd paths, which was done in the local case by Berestycki and
Lions [ARMA, 1983]; for \eqref{eq_abstract} the nonlocalities play indeed a
special role. In particular, some properties of these paths are needed in the
asymptotic study (as $\mu$ varies) of the mountain pass values of the
unconstrained problem, then exploited to describe the geometry of the
constrained problem and detect infinitely many normalized solutions for any
$m>0$.
  The found solutions satisfy in addition a Pohozaev identity: in this paper we
further investigate the validity of this identity for solutions of doubly
nonlocal equations under a $C^1$-regularity.
