The epic psion description says a psion's number of power points per day does not increase after 20th level. The very next line says that instead they get 34 power points per level. This seems contradictory. Could you clarify what was intended by these lines?
These lines are contradictory. An epic psion gains no more power points from level advancement after 20th level, but the limit on power points spent on a metapsionic power is 19 (though feats such as Improves Manifestation can increase that). Each time the psion achieves a new level, he learns a new power of any power level that he can manifest (according to his new level) that is within his primary discipline. Also, the Improved Manifestation feat (on page 58 of the Epic Level Handbook) grants 19 power points when first taken. You can take Improved Manifestation multiple times, and each time you'll gain additional extra power points equal to the previous benefit, plus 2. For example, when you take Improved Manifestation a second time, you gain 21 extra power points, and if you Improved Manifestation a third time, you gain 23 extra power points, and so on. The psion continues to gain bonus power points for a high ability score.