New posts in zeta-functions

How can prove that $\sum_{n=1}^{\infty }\frac{\zeta (2n)}{4^{n-1}}(1-\frac{1}{4^n})=\frac{\pi }{2}$

sequences-and-series zeta-functions

Analytic continuation of Dirichlet function

complex-analysis zeta-functions

Why does the Dedekind zeta function of a number field have a pole at $s=1$?

number-theory zeta-functions l-functions

How to find $\zeta(0)=\frac{-1}{2}$ by definition?

sequences-and-series special-functions riemann-zeta zeta-functions

Infinite Series $\sum_{n=1}^\infty\frac{H_n}{n^5 2^n}$

real-analysis sequences-and-series closed-form harmonic-numbers zeta-functions

Is there a closed-form of $\frac{\zeta (2)}{\pi ^2}+\frac{\zeta (4)}{\pi ^4}+\frac{\zeta (6)}{\pi ^6}+.....$

sequences-and-series summation zeta-functions

Riemann Zeta Function's Analytic Continuation

number-theory riemann-zeta zeta-functions

Regularizing divergent series and Bernoulli numbers

combinatorics sequences-and-series divergent-series zeta-functions

All Ihara $\zeta$ functions for planar $k$-regular graphs with a given set of faces are equivalent

graph-theory polynomials zeta-functions spectral-graph-theory

What are the branches of the $p$-adic zeta function?

algebraic-number-theory p-adic-number-theory zeta-functions l-functions

Why do mathematicians care so much about zeta functions?

number-theory soft-question zeta-functions

Apéry's constant ($\zeta(3)$) value

number-theory summation riemann-zeta zeta-functions

Double series convergent to $2\zeta(4)$?

sequences-and-series zeta-functions

Integral representation Hurwitz Zeta function

integration special-functions zeta-functions

Evaluating $\sum_{k=1}^{\infty}\frac{\sin\left(k\theta\right)}{k^{2u+1}}$ with multiple integrals

sequences-and-series zeta-functions

The asymptotics of the products over primes $\prod\limits_{2<p\le n}\left(1 - \frac1{p-1}\right)$

number-theory asymptotics analytic-number-theory zeta-functions

How are Zeta function values calculated from within the Critical Strip?

complex-analysis number-theory functional-equations riemann-zeta zeta-functions

Simpler zeta zeros

riemann-zeta zeta-functions

How to get from Chebyshev to Ihara?

graph-theory generating-functions zeta-functions chebyshev-polynomials

Motivation on how does complex analysis come to play in number theory?

number-theory algebraic-number-theory analytic-number-theory riemann-zeta zeta-functions