Main conjecture of Iwasawa theory

ID: main-conjecture-of-iwasawa-theory

The Main Conjecture of Iwasawa theory is a central result in the field of algebraic number theory, particularly in the study of the relationship between the arithmetic of modular forms and the theory of \( p \)-adic numbers. In simple terms, the conjecture relates the growth of certain \( p \)-adic \( L \)-functions to the ideal class group of an infinite abelian extension of a number field, particularly in the context of cyclotomic fields.

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