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Eisenstein series

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#analytic-number-theory
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Question on de la Vallee Poussin's simplified proof of Dirichlet's theorem on primes in arithmetic progressions

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#analytic-number-theory
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Supplemental number theory text to Montgomery and Vaughan

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#soft-question #big-list #reference-request #analytic-number-theory
268
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Abelian theorem regarding Riesz summability

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#analysis #analytic-number-theory
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How can we prove a simple case of the High Indices Theorem?

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#analysis #analytic-number-theory
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How to prove Chebyshev's result: $\sum_{p\leq n} \frac{\log p}{p} \sim\log n $ as $n\to\infty$?

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#sequences-and-series #number-theory #prime-numbers #analytic-number-theory
470
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Cusp forms' Fourier coefficients sign changes

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#fourier-series #analytic-number-theory #modular-forms
126
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Arithmetic/category theoretic information encoded in $q$-series reciprocals

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#number-theory #analytic-number-theory #q-series
504
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Bounds for Fourier coefficients of cusp forms

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#analytic-number-theory #modular-forms
408
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Relationship between Dixonian elliptic functions and Borwein cubic theta functions

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#special-functions #analytic-number-theory #theta-functions
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Asymptotic formula for d(n)/n summation

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#analytic-number-theory
2.4k
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Asymptotic formula for $\sum_{n\leq x}\mu(n)[x/n]^2$ and the Totient summatory function $\sum_{n\leq x} \phi(n)$

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#analysis #number-theory #analytic-number-theory #multiplicative-function
848
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How to derive an identity between summations of totient and Möbius functions

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#number-theory #analytic-number-theory #totient-function
237
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Zeta functions in Chebychev's Prime Number theory

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#reference-request #math-history #analytic-number-theory #riemann-zeta
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Values of the Riemann Zeta function and the Ramanujan Summation - How strong is the connection?

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#analytic-number-theory #riemann-zeta #divergent-series #regularization

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