P-adic exponential function - meaning and definition. What is P-adic exponential function
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What (who) is P-adic exponential function - definition


P-adic exponential function         
In mathematics, particularly p-adic analysis, the p-adic exponential function is a p-adic analogue of the usual exponential function on the complex numbers. As in the complex case, it has an inverse function, named the p-adic logarithm.
P-adic L-function         
In mathematics, a p-adic zeta function, or more generally a p-adic L-function, is a function analogous to the Riemann zeta function, or more general L-functions, but whose domain and target are p-adic (where p is a prime number). For example, the domain could be the p-adic integers Zp, a profinite p-group, or a p-adic family of Galois representations, and the image could be the p-adic numbers Qp or its algebraic closure.
exponential function         
  • The red curve is the exponential function.  The black horizontal lines show where it crosses the green vertical lines.
  • The exponential function e^z plotted in the complex plane from -2-2i to 2+2i
MATHEMATICAL FUNCTION WITH A CONSTANT BASE AND A VARIABLE EXPONENT, DENOTED EXP_A(X) OR A^X
Complex exponential function; Complex exponential; Natural exponential function; E^x; Exp(x); Exp (programming); Complex exponentials; Real exponential function; E**x; E to the x; Cb^x; Exponential Function; Exponential equation; Exponential equations; ⅇ; Natural exponent; Exponential minus 1 function; Exponential minus 1; Expm1; Exp-1; Exp1m; Expm1(x); Exp1m(x); Natural exponential minus 1; Natural exponential; E^X-1; E^x-1; Exp(x)-1; Base e antilogarithm; Exponent of e; Base e anti-logarithm; Exponential minus one function; Exponential minus one; Natural exponential minus one; Natural exponential minus one function; Exponential near 0; Exponential near zero; Natural exponential near 0; Natural exponential near zero; Eˣ-1; Eˣ - 1; Eˣ; Eˣ−1; Eˣ − 1; E^x−1; Exp(x)−1; Exponential base
¦ noun Mathematics a function whose value is a constant raised to the power of the argument, especially the function where the constant is e.