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Does there exist a family of functions $(g_i)$ such that $\int_A g_i(x)g_j(x)dx=0 \Leftrightarrow i\nmid j \land j\nmid i$

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#real-analysis #analytic-number-theory
50
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Estimation of conditionally convergent series

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#complex-analysis #number-theory #analysis #analytic-number-theory #harmonic-analysis
52
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Asymptotic growth of $\int_{-2c}^0\frac{\exp(-x^2)}{x+c}dx$

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#real-analysis #asymptotics #analytic-number-theory
46
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Abel summation in function fields

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#analytic-number-theory
38
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Analytic Number Theory Notation dillemma

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#analytic-number-theory
492
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Proof of $ \zeta(s)=\frac{1}{s-1}+\gamma+O(s-1)$

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#analytic-number-theory #riemann-zeta #zeta-functions
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Gamma Function Holomorphic

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#complex-analysis #analytic-number-theory #gamma-function #holomorphic-functions
668
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The derivative of the Gamma function

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#derivatives #reference-request #complex-numbers #analytic-number-theory #gamma-function
94
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The derivative of the Gamma function, once more

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#derivatives #reference-request #complex-numbers #analytic-number-theory #gamma-function
86
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Cubic of a Gauss sum

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#number-theory #analytic-number-theory
31
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Positions of coinciding bits

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#number-theory #analytic-number-theory
242
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Is Riemann's R-function $R(x)$ differentiable?

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#number-theory #derivatives #prime-numbers #analytic-number-theory #riemann-zeta
440
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Asymptotics and bounds of $k$-divisor function $d_k(n)$

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#elementary-number-theory #reference-request #analytic-number-theory #divisor-counting-function
53
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Square-free numbers congruent to $1$ modulo $p$ (asymptotic formula)

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#asymptotics #analytic-number-theory #characters
87
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Let $x(n)=$ product of first $n$ primes.How often is $x(n)$ triangular?

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#number-theory #elementary-number-theory #binomial-coefficients #analytic-number-theory #experimental-mathematics

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