DUBLIN — Irish Prime Minister Bertie Ahern announced yesterday that he will step down next month after accusations of corruption. Ireland achieved record economic growth and peace with Northern Ireland during Mr. Ahern’s 11-year tenure, but an ongoing inquest into the prime minister’s personal finances has undermined his record. When Mr. Ahern became prime minister in 1997, Ireland was three years into a period of soaring economic growth and employment. One year later, Mr. Ahern left his mother’s funeral to finalize Northern Ireland’s Good Friday peace agreement. Tony Blair, the British prime minister at the time, praised Mr. Ahern’s role in bringing peace to Northern Ireland. “He will always be remembered … for transforming relations between Britain and the Irish Republic,” Mr. Blair said.