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Weil conjectures

Knödel number

Shimura's reciprocity law

Szpiro's conjecture

Roth's theorem

Pell's equation

Legendre's conjecture

Abc conjecture

Complex multiplication of abelian varieties

Disquisitiones Arithmeticae

P-adic analysis

P-adic gamma function

P-adic number

P-adic Teichmüller theory

P-adic distribution

Basic hypergeometric series

Gaussian binomial coefficient

Vieta jumping

Eisenstein integer

Adele ring

Artin–Hasse exponential

1 + 1 + 1 + 1 + ⋯

1/2 + 1/4 + 1/8 + 1/16 + ⋯

1/2 − 1/4 + 1/8 − 1/16 + ⋯

1/4 + 1/16 + 1/64 + 1/256 + ⋯

Hundredth

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