Question

Is there a polynomial (or series) expression for summing $S_d(a,N)=\sum_{k=0}^{N-1} \log(1+{1\over a+k \cdot d})$? (perhaps Bernoulli-type)

score 221 · Answer 1 · 2026-02-23 01:22:59

221

Views

Is there a polynomial (or series) expression for summing $S_d(a,N)=\sum_{k=0}^{N-1} \log(1+{1\over a+k \cdot d})$? (perhaps Bernoulli-type)

Published on 23 Feb 2026 - 1:22

score 169 · Answer 2 · 2019-03-23 14:29:25

169

Views

Polynomial divided by a monomial in some extended Collatz Shortcut function

Published on 23 Mar 2019 - 14:29

score 377 · Answer 3 · 2026-02-23 15:28:08

377

Views

Collatz $2x + 1$ conjecture?

Published on 23 Feb 2026 - 15:28

score 4.5k · Answer 4 · 2019-03-30 02:39:45

4.5k

Views

Why is the Collatz Conjecture so difficult to prove or disprove?

Published on 30 Mar 2019 - 2:39

score 212 · Answer 5 · 2019-03-30 14:31:13

212

Views

"What is the specific mathematical reason behind the origin of the Collatz Conjecture that makes it difficult to solve it?

Published on 30 Mar 2019 - 14:31

score 411 · Answer 6 · 2019-03-31 20:12:24

411

Views

How to prove property of Collatz Conjecture trees (3x+1 Problem)

Published on 31 Mar 2019 - 20:12

score 505 · Answer 7 · 2026-03-15 07:10:08

505

Views

Preserving historical information of the Collatz function?

Published on 15 Mar 2026 - 7:10

score 174 · Answer 8 · 2019-04-14 18:14:09

174

Views

$3n+1$ graph and shared vertices

Published on 14 Apr 2019 - 18:14

score 226 · Answer 9 · 2026-02-23 01:05:33

226

Views

Number of Collatz steps for Mersenne numbers

Published on 23 Feb 2026 - 1:05

score 93 · Answer 10 · 2019-04-26 13:54:46

93

Views

Cycles in bit-limited verson of Collatz map

Published on 26 Apr 2019 - 13:54

score 1.2k · Answer 11 · 2019-05-03 12:13:02

1.2k

Views

A possible way to prove non-cyclicity of eventual counterexamples of the Collatz conjecture?

Published on 03 May 2019 - 12:13

score 508 · Answer 12 · 2019-05-03 20:55:06

508

Views

What formula could generate this sequence related to the Collatz conjecture

Published on 03 May 2019 - 20:55

score 337 · Answer 13 · 2019-05-08 21:57:23

337

Views

What is the sequence of accumulation points in the 2-adic space, of the Collatz graph?

Published on 08 May 2019 - 21:57

score 397 · Answer 14 · 2019-05-13 14:05:11

397

Views

New record for for lower bound of non-trivial cycle lengths of Collatz sequences?

Published on 13 May 2019 - 14:05

score 114 · Answer 15 · 2019-05-14 22:06:19

114

Views

Why does plotting $\frac{3n+1}{2^k}$ give several apparently straight lines?

Published on 14 May 2019 - 22:06

List Question

Is there a polynomial (or series) expression for summing $S_d(a,N)=\sum_{k=0}^{N-1} \log(1+{1\over a+k \cdot d})$? (perhaps Bernoulli-type)

Polynomial divided by a monomial in some extended Collatz Shortcut function

Collatz $2x + 1$ conjecture?

Why is the Collatz Conjecture so difficult to prove or disprove?

"What is the specific mathematical reason behind the origin of the Collatz Conjecture that makes it difficult to solve it?

How to prove property of Collatz Conjecture trees (3x+1 Problem)

Preserving historical information of the Collatz function?

$3n+1$ graph and shared vertices

Number of Collatz steps for Mersenne numbers

Cycles in bit-limited verson of Collatz map

A possible way to prove non-cyclicity of eventual counterexamples of the Collatz conjecture?

What formula could generate this sequence related to the Collatz conjecture

What is the sequence of accumulation points in the 2-adic space, of the Collatz graph?

New record for for lower bound of non-trivial cycle lengths of Collatz sequences?

Why does plotting $\frac{3n+1}{2^k}$ give several apparently straight lines?

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