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Mathematics
p-adic numbers are numbers that extend the rational numbers π.Q by introducing a new absolute value, known as the p-adic absolute value. This absolute value measures the divisibility of numbers by a fixed prime π.p-adic integers are elements of ππ the ring of p-adic integers, which can be represented as formal power series with coefficients in the set.p-adic numbers are used in various areas of number theory, including the study of Diophantine equations and modular forms.: This branch of analysis studies functions of p-adic numbers, extending concepts from real and complex analysis to the p-adic setting.An area of research that explores the use of p-adic numbers in quantum physics, replacing real numbers with p-adic numbers in certain models.
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