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15
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Reference for Euler totient function identity?

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#number-theory #analytic-number-theory #totient-function
85
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Motivation behind proof of Behrend's theorem on size of AP free subset

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#number-theory #analytic-number-theory #diophantine-approximation
1k
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Does there exist positive rational $s$ for which $\zeta(s)$ is a positive integer?

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#real-analysis #number-theory #prime-numbers #analytic-number-theory #riemann-zeta
130
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Prime twins and $ f(z) = \sum_p \frac{\ln(p) \space \ln(p+2)}{p^{z/2} \space (p+2)^{z/2}} $

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#number-theory #analytic-number-theory #conjectures #zeta-functions #twin-primes
432
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Complex analysis prerequisites for Apostol's Modular Functions

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#complex-analysis #soft-question #analytic-number-theory #book-recommendation
57
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Partial summation of character $\chi \pmod{p}$?

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#number-theory #elementary-number-theory #analytic-number-theory #characters #sieve-theory
79
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Sum of triangular numbers

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#analytic-number-theory
174
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Hint on proof of convergence of Dedekind zeta function

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#number-theory #analytic-number-theory
584
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What is the simplest way of explaining the Riemann Hypothesis to a layman?

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#complex-analysis #number-theory #analysis #prime-numbers #analytic-number-theory
52
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Bounding a Sum using Absoulte Convergence (Analytic Number Theory)

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#asymptotics #analytic-number-theory
145
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Compact form of $\pi_k(x)$

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#number-theory #analytic-number-theory #sieve-theory
151
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Prove that $\Phi(x,y)=\pi(x)-\pi(y)+1$

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#number-theory #analytic-number-theory #sieve-theory
68
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The distribution of primes between multipliers is arbitrary

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#number-theory #prime-numbers #analytic-number-theory
457
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Use for $ \zeta’’(s) $ in number theory?

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#derivatives #soft-question #analytic-number-theory #riemann-zeta
398
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Relation between Buchstab identity and prime number theorem

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#number-theory #analytic-number-theory #sieve-theory

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