[Verse 1] From the primes we start our journey deep Elementary numbers hold secrets we keep Divisibility and congruence pave the way To mysteries that grow stronger every day [Chorus] Number theory rising, patterns in the primes Zeta functions dancing through infinite time Fields and rings and curves that bend and sway In the arithmetic where pure math holds sway Number theory, number theory Unlocking nature's code today [Verse 2] Dirichlet series count the way primes fall Prime number theorem answers nature's call Riemann's zeta function holds the key L-functions unlock the harmony [Chorus] Number theory rising, patterns in the primes Zeta functions dancing through infinite time Fields and rings and curves that bend and sway In the arithmetic where pure math holds sway Number theory, number theory Unlocking nature's code today [Verse 3] Algebraic numbers form their fields so grand Rings of integers throughout the land Class groups measure how far we stray From unique factorization's perfect way [Bridge] Elliptic curves with their group law tight Mordell-Weil theorem brings structure to light Modular forms with Hecke at their side Connect to curves in ways we can't hide [Verse 4] P-adic numbers change our view of space Hensel's lemma finds solutions in their place Heights and rational points on varieties shine In arithmetic geometry's grand design [Chorus] Number theory rising, patterns in the primes Zeta functions dancing through infinite time Fields and rings and curves that bend and sway In the arithmetic where pure math holds sway Number theory, number theory Unlocking nature's code today [Outro] Langlands dreams of reciprocity Automorphic forms in harmony From elementary facts to frontiers unknown Number theory claims its rightful throne
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