Question

Are $\omega(n)$ and $\Omega(n)$ asymptotically equal?

score 133 · Answer 1 · 2020-02-19 00:48:19

133

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Are $\omega(n)$ and $\Omega(n)$ asymptotically equal?

Published on 19 Feb 2020 - 0:48

score 146 · Answer 2 · 2026-03-25 09:29:04

146

Views

Prove $\sum_{n\ge1}\frac{1}{q^n+q^{-n}}=\tfrac14(\vartheta_3^2(q)-1)$

Published on 25 Mar 2026 - 9:29

score 879 · Answer 3 · 2026-04-01 03:47:52

879

Views

Asymptotic formula for the logarithmic derivative of zeta function

Published on 01 Apr 2026 - 3:47

score 40 · Answer 4 · 2026-03-25 15:10:41

40

Views

Finding whole number solution to a multi variable nonlinear equation

Published on 25 Mar 2026 - 15:10

score 76 · Answer 5 · 2020-02-23 23:07:07

76

Views

splitting the sum into two sums

Published on 23 Feb 2020 - 23:07

score 616 · Answer 6 · 2020-02-24 11:57:25

616

Views

Sum of two nonzero squares

Published on 24 Feb 2020 - 11:57

score 268 · Answer 7 · 2026-03-25 13:54:05

268

Views

About generalized binomial theorem and Grünwald-Letnikov fractional derivative

Published on 25 Mar 2026 - 13:54

score 180 · Answer 8 · 2020-02-28 06:44:36

180

Views

Trouble understanding definition of complex logarithm of Dirichlet L function.

Published on 28 Feb 2020 - 6:44

score 81 · Answer 9 · 2026-03-27 12:07:06

81

Views

In how many ways can I express a positive integer as a sum of elements in a subset of $\mathbb Z^+$?

Published on 27 Mar 2026 - 12:07

score 18 · Answer 10 · 2020-03-02 16:25:34

18

Views

Number of integers in an interval satisfying two linear congruences.

Published on 02 Mar 2020 - 16:25

score 149 · Answer 11 · 2020-03-02 20:17:50

149

Views

Find sum of geometric-like series with binomial coefficients using complex analysis

Published on 02 Mar 2020 - 20:17

score 72 · Answer 12 · 2026-04-01 05:12:46

72

Views

Proving that $\sum_{a^2 b^3 \leq x} 1 =\zeta(3/2)x^{1/2} + \zeta(2/3)x^{1/3} + O(x^{1/5})$

Published on 01 Apr 2026 - 5:12

score 44 · Answer 13 · 2020-03-05 09:37:03

44

Views

Show that for prime $p$, $\sum_{c=1}^{p-1}(\frac{c^2-1}{p})(\frac{c^2-2}{p})\sum_{b=1}^{p-1}(\frac{b^2-c^2}{p})(\frac{b^2-2}{p})\ll p$

Published on 05 Mar 2020 - 9:37

score 890 · Answer 14 · 2020-03-05 10:14:56

890

Views

Asymptotics of product $(1-1/p)$ over all primes.

Published on 05 Mar 2020 - 10:14

score 8.9k · Answer 15 · 2026-03-25 07:45:56

8.9k

Views

Towards a new proof of infinitude of primes ( with possible unified application to other primes of special forms whose Infinitude is unknown):

Published on 25 Mar 2026 - 7:45

List Question

Are $\omega(n)$ and $\Omega(n)$ asymptotically equal?

Prove $\sum_{n\ge1}\frac{1}{q^n+q^{-n}}=\tfrac14(\vartheta_3^2(q)-1)$

Asymptotic formula for the logarithmic derivative of zeta function

Finding whole number solution to a multi variable nonlinear equation

splitting the sum into two sums

Sum of two nonzero squares

About generalized binomial theorem and Grünwald-Letnikov fractional derivative

Trouble understanding definition of complex logarithm of Dirichlet L function.

In how many ways can I express a positive integer as a sum of elements in a subset of $\mathbb Z^+$?

Number of integers in an interval satisfying two linear congruences.

Find sum of geometric-like series with binomial coefficients using complex analysis

Proving that $\sum_{a^2 b^3 \leq x} 1 =\zeta(3/2)x^{1/2} + \zeta(2/3)x^{1/3} + O(x^{1/5})$

Show that for prime $p$, $\sum_{c=1}^{p-1}(\frac{c^2-1}{p})(\frac{c^2-2}{p})\sum_{b=1}^{p-1}(\frac{b^2-c^2}{p})(\frac{b^2-2}{p})\ll p$

Asymptotics of product $(1-1/p)$ over all primes.

Towards a new proof of infinitude of primes ( with possible unified application to other primes of special forms whose Infinitude is unknown):

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