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What's the link between de Bruijn-Newman constant and RH

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#number-theory #analytic-number-theory #conjectures #constants #riemann-hypothesis
45
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Bound on least unramified prime $\mathfrak{p}$ dependent on its conjugacy class (Chebotarev density theorem)

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#number-theory #reference-request #algebraic-number-theory #analytic-number-theory #upper-lower-bounds
142
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Behaviour of $\phi(n)/n$.

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#analytic-number-theory
56
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Summary of Dirichlet Series Convergence from Apostol's IANT

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#complex-analysis #convergence-divergence #analytic-number-theory #dirichlet-series
193
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What do we know about the analytic continuations of Dirichlet series?

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#sequences-and-series #number-theory #analytic-number-theory #riemann-zeta #dirichlet-series
247
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About the unicity of the analytic continuations of $\zeta$ and the continuation used to have $\zeta'(0) = -(\ln(1) +\ln(2) +\ln(3) + \ldots )$

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#complex-analysis #proof-explanation #analytic-number-theory #riemann-zeta #analytic-continuation
56
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A result related to the properties of Dedekind Sums

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#number-theory #analytic-number-theory
56
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Large sieve inequality for sparse trigonometric polynomials

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#number-theory #prime-numbers #fourier-analysis #analytic-number-theory #sieve-theory
64
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Quick Query: Big Oh manipulation in Apostol analytic number theory proof

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#analytic-number-theory
141
Views

Formula for twisted generalized quadratic Gauss sums

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#number-theory #fourier-analysis #analytic-number-theory #gauss-sums #dirichlet-character
129
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Under what conditions, or how can be done that, one says that something divergent can have a value?

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#complex-analysis #proof-explanation #analytic-number-theory #riemann-zeta #analytic-continuation
291
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Motivation for the Derivative of an Arithmetic Function

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#number-theory #analytic-number-theory #arithmetic-functions
246
Views

Proof Riemann Zeta Series based on $\eta(s)$ has only one pole.

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#convergence-divergence #analytic-number-theory #riemann-zeta #dirichlet-series
119
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Asymptotic for sum of $(p-1)/p$ for $p$ at most $x$

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#summation #asymptotics #analytic-number-theory #upper-lower-bounds
87
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Exchanging the order of integration without Fubini-Tonnelli in an integral related to Waring's problem

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#real-analysis #integration #measure-theory #analytic-number-theory

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