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Books about the Riemann Hypothesis

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#number-theory #reference-request #analytic-number-theory #riemann-zeta #riemann-hypothesis
263
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Why should the eigenvalues of random matrices reflect zeta function zeroes?

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#eigenvalues-eigenvectors #riemann-zeta #random-matrices
305
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On the series $ \sum_{n=1}^{\infty} \frac{\Lambda(n)}{\sqrt{n}} \cos(x \log(n) + a) $.

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#sequences-and-series #riemann-zeta #divergent-series #trigonometric-series
6.1k
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Why does zeta have infinitely many zeros in the critical strip?

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#analytic-number-theory #riemann-zeta
822
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Intuitive explanation with rigorous details why zeta has infinitely many zeros?

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#analytic-number-theory #riemann-zeta
229
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Another improper integral

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#calculus #real-analysis #sequences-and-series #integration #riemann-zeta
172
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How to evaluate $\xi(0)$?

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#complex-analysis #riemann-zeta
631
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Show that $\sum\limits_{k=1}^{\infty}\frac{\zeta(2k)}{(k+1)(2k+1)}=\frac12$

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#calculus #real-analysis #sequences-and-series #riemann-zeta
475
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About Euler's formula for Apery number

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#sequences-and-series #summation #riemann-zeta #alternative-proof
623
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Serre's proof that zeta function is meromorphic

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#complex-analysis #riemann-zeta #zeta-functions
1.6k
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A series involves harmonic number

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#real-analysis #sequences-and-series #riemann-zeta #harmonic-numbers
160
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Calculating an almost Gamma integral

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#improper-integrals #riemann-zeta #gamma-function
5.4k
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how to understand $\log\zeta(s)$ (Riemann zeta function)?

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#complex-analysis #analytic-number-theory #riemann-zeta
133
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Efficient way for computation of derivatives of $f(x) = \zeta(1-x) + 1/x $ at integer x?

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#number-theory #numerical-methods #riemann-zeta
997
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Can the Basel problem be solved by Leibniz today?

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#combinatorics #sequences-and-series #number-theory #riemann-zeta

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