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15
370
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What is the asymptotic density of deficient-perfect numbers?

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#analytic-number-theory #divisor-sum #perfect-numbers #oeis
153
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Examples of modular forms of irrational or complex weights

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#analytic-number-theory #modular-forms #modular-function
252
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Combinatorial number theory, what is $\lim_{n \to \infty} {\ln f(n)\over \ln n}$?

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#combinatorics #number-theory #analytic-number-theory #combinatorial-number-theory
332
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Derivation of a series expansion for Riemann Zeta function

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#complex-analysis #number-theory #analytic-number-theory #riemann-zeta
88
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On geometric series and the logarithmic integral

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#integration #summation #asymptotics #analytic-number-theory
633
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The zeta function has infinitely many zeros in $0<\Re{s}<1/2$?

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#analytic-number-theory #riemann-zeta #zeta-functions #riemann-hypothesis
523
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Intuition behind Roth's Theorem of 3 term AP

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#analytic-number-theory #arithmetic-progressions #additive-combinatorics
805
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Invert: $\sum\limits_{d|n} \mu(d) \lambda(d)=2^{\omega(n)}$

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#elementary-number-theory #analytic-number-theory #mobius-inversion #liouville-function
184
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Please help me evaluate the following infinite sum: $\sum\limits_{k=1}^{\infty}\frac{1}{p_k(p_k-1)}$

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#sequences-and-series #number-theory #prime-numbers #analytic-number-theory #zeta-functions
76
Views

brun's method and primitive roots

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#analytic-number-theory
139
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Shortest repeating digits in fractions.

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#number-theory #elementary-number-theory #analytic-number-theory #fractions #carmichael-function
554
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Functional equation of the complete $L$-function of the twisted $L$-function of a cuspidal modular form

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#number-theory #analytic-number-theory #modular-forms #dirichlet-series #l-functions
237
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Euler product formula for prime ideals

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#number-theory #algebraic-number-theory #analytic-number-theory #infinite-product #zeta-functions
513
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Equidistribution modulo $1$ of certain exponential functions

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#analysis #fourier-analysis #analytic-number-theory #additive-combinatorics #equidistribution
506
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On $x^3+y^3=z^3$, the Dixonian elliptic functions, and the Borwein cubic theta functions

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#special-functions #analytic-number-theory #hypergeometric-function #theta-functions

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