User Chitsai Liu

47 votes

1 answer

4k views

How to prove this polynomial always has integer values at all integers?

asked Jun 13, 2015 at 3:17

46 votes

2 answers

6k views

Is the following identity true?

asked Jun 8, 2016 at 14:04

29 votes

9 answers

15k views

Suggestions for good books on class field theory

asked May 15, 2010 at 10:17

28 votes

2 answers

2k views

A sum involving roots of unity

asked Feb 4, 2019 at 4:52

21 votes

1 answer

876 views

A combinatorial identity involving generalized harmonic numbers

asked Dec 22, 2015 at 13:37

20 votes

1 answer

2k views

How to prove that the following double sum is always an integer？

asked Dec 12, 2014 at 10:22

15 votes

2 answers

1k views

How to prove $\sum_{k=1}^{\frac{p-1}{2}}\frac{(-1)^k}{k}\sum_{i=\lfloor k/2\rfloor +1}^k\frac{1}{2i-1}\equiv 0\pmod{p}$?

asked Jun 4, 2017 at 4:35

15 votes

1 answer

951 views

Prove $4\sum_{k=1}^{p-1}\frac{(-1)^k}{k^2}\equiv 3\sum_{k=1}^{p-1}\frac{1}{k^2}\pmod{p^2}$

asked Dec 23, 2015 at 0:41

15 votes

2 answers

1k views

A combinatorial identity involving harmonic numbers

asked May 16, 2016 at 11:44

1 vote

1 answer

432 views

Integer Polynomial solutions to functional equation

asked May 13, 2016 at 7:11

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10 Questions

How to prove this polynomial always has integer values at all integers?

Is the following identity true?

Suggestions for good books on class field theory

A sum involving roots of unity

A combinatorial identity involving generalized harmonic numbers

How to prove that the following double sum is always an integer？

How to prove $\sum_{k=1}^{\frac{p-1}{2}}\frac{(-1)^k}{k}\sum_{i=\lfloor k/2\rfloor +1}^k\frac{1}{2i-1}\equiv 0\pmod{p}$?

Prove $4\sum_{k=1}^{p-1}\frac{(-1)^k}{k^2}\equiv 3\sum_{k=1}^{p-1}\frac{1}{k^2}\pmod{p^2}$

A combinatorial identity involving harmonic numbers

Integer Polynomial solutions to functional equation