This is the 11987th most frequent Russian word.
заявлениям
"Statements" or "applications" (dative plural form).
Here, 'заявлениям' is used in the dative plural form to indicate the source of information or whose statements are being referred to.
По заявлениям пресс-службы, работа возобновится завтра.
According to the statements of the press office, work will resume tomorrow.
In this sentence, 'заявлениям' is in the dative plural form, showing that the statements are the object of listening, directed for consideration.
Я прислушиваюсь к заявлениям экспертов, чтобы принять решение.
I listen to the statements of experts to make a decision.
Here, 'заявлениям' is in the dative plural form, indicating the statements as the target of critical reactions.