👉 A mollifier is a mathematical function that appears in the definition of the Riemann zeta function, known as the Riemann zeta function. The zeta function is defined by the series: zeta(s) = 1 + ∑(n=1)^∞ (ζ(n) / n!) where ζ and ζ' are two complex functions that satisfy a functional equation, and ∫ is the integral operator. The term "mollifier" refers to a
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What is the definition of Mollifiers? 🙋
👉 Mollifiers are a type of mathematical function that is used in physics and engineering to simplify expressions. They are particularly useful for simplifying equations involving trigonometric functions such as sine, cosine, and tangent. Mollifiers can be defined in various ways, but one common definition is:
1.
Trigonometric mollifier (Mollweide) Function
: A function that maps a given trigonometric function to its corresponding trigonometric mollifier. For example, the sine function
