p-Adic Concepts and Techniques
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- p-Adic Absolute Value
- Hensel's Lemma
- Lifting the Exponent (LTE)
- What Are the p-Adic Numbers?
- What Are Continuous p-Adic Functions?
- Discrete Calculus and Mahler's Theorem
- Comparing the Real and p-Adic Absolute Values
- Ostrowski's Theorem
- Freshman's Dream (Frobenius): Expanding pth Powers Modulo p
- Generating Functions and Lucas' Theorem
- p-Adic Valuation of a Factorial (Legendre's Formula)
- p-Adic Valuation of a Binomial Coefficient (Kummer's Theorem)
- Proofs of Bertrand's Postulate
- Combinatorial Proof of Lucas' Theorem
- Exponentials and Skolem's p-Adic Method
- Skolem-Mahler-Lech Theorem on Linear Recurrences