### Questions (50)

 6 Questions related to the Dirichlet series for $\frac{\zeta'(s)}{\zeta(s)^2}$ 6 What is the relationship between simple prime-power counting function and $\log\zeta(s)$? 4 Do the Prime Number Theorem and/or Riemann Hypothesis predict a limit on the accuracy of this formula for $\gamma$? 4 What is the explicit formula for $\Phi(x)=\sum\limits_{n=1}^x\phi(n)$? 4 Question on Integral Transform Related to Riemann Zeta Function $\zeta(s)$

### Reputation (956)

 +25 Deriving simple formula for summation +70 Solving $x^{45} \equiv 7 \mod 113$ -2 What is the relationship between simple prime-power counting function and $\log\zeta(s)$? +10 Modular Exponentiation when only mod of a value is known

### Answers (26)

 6 Can a functional equation of the form: $\zeta (s)=f(s) \zeta (s+1)$ exist? 2 Solving $x^{45} \equiv 7 \mod 113$ 1 Deriving simple formula for summation 1 Proof of equivalence between two methods of binary to decimal conversion. 1 Modular Exponentiation when only mod of a value is known

### Tags (53)

 8 riemann-zeta × 38 2 fourier-series × 7 7 number-theory × 57 2 congruences 6 functional-equations 2 elementary-number-theory 4 prime-numbers × 32 1 mellin-transform × 23 3 analytic-number-theory × 7 1 riemann-hypothesis × 22

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