Question

Count the number of non-negative integers $(x;y;z;t)$ of $ax+by+cz+dt = n$

score 53 · Answer 1 · 2026-04-14 22:56:16

53

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Count the number of non-negative integers $(x;y;z;t)$ of $ax+by+cz+dt = n$

Published on 14 Apr 2026 - 22:56

score 125 · Answer 2 · 2026-04-12 07:48:34

125

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Von Mangoldt function implications

Published on 12 Apr 2026 - 7:48

score 100 · Answer 3 · 2026-03-26 01:35:04

100

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Controlling High Moments with Short Low Moments

Published on 26 Mar 2026 - 1:35

score 136 · Answer 4 · 2026-04-16 12:30:16

136

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Why $a_n \geq 0$ in convergence criteria for infinite product $\prod(1+a_n)$?

Published on 16 Apr 2026 - 12:30

score 116 · Answer 5 · 2026-04-10 12:28:50

116

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estimation integral over minor arcs

Published on 10 Apr 2026 - 12:28

score 72 · Answer 6 · 2026-04-16 07:44:31

72

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Finding the number of $n \leq x$ such that $d^2 |n$ is

Published on 16 Apr 2026 - 7:44

score 569 · Answer 7 · 2026-04-14 02:34:49

569

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Proving that 2 statements are equivalent while using Chebyshev's Theorem

Published on 14 Apr 2026 - 2:34

score 41 · Answer 8 · 2026-04-13 21:42:37

41

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Proving this summation equal to a Big -$O$

Published on 13 Apr 2026 - 21:42

score 111 · Answer 9 · 2026-04-17 11:57:18

111

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Error Term in Generalized (First) Hardy-Littlewood Conjecture

Published on 17 Apr 2026 - 11:57

score 83 · Answer 10 · 2026-04-14 04:30:33

83

Views

Apostol Analytic Number Theory Ch3 ex1

Published on 14 Apr 2026 - 4:30

score 58 · Answer 11 · 2026-04-16 06:45:00

58

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need help in proving $\sum_{p^n \leq x, n\geq 2} \frac{\log p} {p} =O(1)$.

Published on 16 Apr 2026 - 6:45

score 89 · Answer 12 · 2026-04-14 03:39:30

89

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A question related to study of functions in Prime polynomial theorem

Published on 14 Apr 2026 - 3:39

score 46 · Answer 13 · 2026-04-14 08:59:46

46

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Unable to deduce an argument related to Von Mangoldt function

Published on 14 Apr 2026 - 8:59

score 101 · Answer 14 · 2026-04-16 13:30:23

Quick query: How to demonstrate that $\sum\limits_{d > x} {\frac{{\mu (d)\,\log d}}{{{d^2}}}} \,\, = \,\,O\left( {\frac{{\log x}}{x}} \right)$

score 211 · Answer 15 · 2026-03-26 09:51:24

211

Views

Confused about the derivation of the identity: $\ln(\zeta(s))=s\int_{0} ^ {\infty} J(x)x^{-s-1}dx$ and it's relationship to Stieltjes integrals

Published on 26 Mar 2026 - 9:51

List Question

Count the number of non-negative integers $(x;y;z;t)$ of $ax+by+cz+dt = n$

Von Mangoldt function implications

Controlling High Moments with Short Low Moments

Why $a_n \geq 0$ in convergence criteria for infinite product $\prod(1+a_n)$?

estimation integral over minor arcs

Finding the number of $n \leq x$ such that $d^2 |n$ is

Proving that 2 statements are equivalent while using Chebyshev's Theorem

Proving this summation equal to a Big -$O$

Error Term in Generalized (First) Hardy-Littlewood Conjecture

Apostol Analytic Number Theory Ch3 ex1

need help in proving $\sum_{p^n \leq x, n\geq 2} \frac{\log p} {p} =O(1)$.

A question related to study of functions in Prime polynomial theorem

Unable to deduce an argument related to Von Mangoldt function

Quick query: How to demonstrate that $\sum\limits_{d > x} {\frac{{\mu (d)\,\log d}}{{{d^2}}}} \,\, = \,\,O\left( {\frac{{\log x}}{x}} \right)$

Confused about the derivation of the identity: $\ln(\zeta(s))=s\int_{0} ^ {\infty} J(x)x^{-s-1}dx$ and it's relationship to Stieltjes integrals

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