= Main conjecture of Iwasawa theory
{wiki=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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