Must one recite 'Ya'aleh v'yavo' in the Amidah on Rosh Hodesh, and what is the consequence if forgotten?

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Synopsis

Ya'aleh v'yavo must be recited in Shacharit and Mincha on Rosh Hodesh. If forgotten in Arvit, one need not return. If forgotten in Shacharit or Mincha, one must return unless already completed the entire prayer.

Early Acharonim
Late Acharonim
Lenient
Strict
Lesser cited
Major authority

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