(For other notation see Notation for the Special Functions.)
nonnegative integers. |
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prime number. |
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real variable. |
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real or complex parameter. |
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complex variable. |
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complex variable. |
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Euler’s constant (§5.2(ii)). |
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Bernoulli number and polynomial (§24.2(i)). |
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periodic Bernoulli function . |
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divides . |
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primes |
on function symbols: derivatives with respect to argument. |
The main function treated in this chapter is the Riemann zeta function . This notation was introduced in Riemann (1859).
The main related functions are the Hurwitz zeta function , the dilogarithm , the polylogarithm (also known as Jonquière’s function ), Lerch’s transcendent , and the Dirichlet -functions .