User js21

26 votes

Are the 'semi' trivial zeros of $\zeta(s) \pm \zeta(1-s)$ all on the critical line?

answered Feb 26, 2012 at 15:07

25 votes

Accepted

Why is Oka's coherence theorem a deep result?

answered Oct 31, 2017 at 8:45

17 votes

Accepted

The $n$-th derivative has $n$ zeros. Can such a function be unbounded?

answered Sep 28, 2017 at 15:46

15 votes

Accepted

When is the map $H^0(X,mK_X) \times H^0(X,nK_X) \to H^0(X,(m+n)K_X)$ surjective?

answered Oct 5, 2016 at 7:17

14 votes

Congruence equation and quadratic residue

answered Jun 19, 2016 at 8:48

14 votes

Accepted

Can you use Chevalley‒Warning to prove existence of a solution?

answered Jun 22, 2016 at 13:00

14 votes

Accepted

A simple number theory confirmation

answered Apr 17, 2017 at 9:43

13 votes

Accepted

Geometric intuition for Fontaine-Wintenberger?

answered Sep 22, 2017 at 7:46

13 votes

Accepted

Integer-valued power sums

answered Nov 30, 2016 at 10:33

12 votes

Sets of unit fractions with sum $\leq 1$

answered Sep 14, 2017 at 15:50

10 votes

Accepted

Changing values of digits of an algebraic irrational number

answered Oct 12, 2017 at 15:22

10 votes

Accepted

Current state of the Komlos conjecture on vector balancing

answered Jul 12, 2017 at 9:28

10 votes

Accepted

Random walk to stay in an interval forever

answered Jun 30, 2016 at 11:59

10 votes

Accepted

Generalization of Mertens' theorem

answered May 27, 2012 at 12:36

10 votes

Proof of a combinatorial identity (possibly using trigonometric identities)

answered Jul 30, 2012 at 21:16

9 votes

Accepted

Asymptotic estimate of double summation

answered Sep 14, 2016 at 8:58

9 votes

Accepted

Estimates for $\sum_{n\leq x} d(n)^a$

answered Nov 17, 2017 at 9:04

9 votes

Find the tight upper bound of $\sum_{i=1}^n \frac{i}{i+x_i}$, where the $x_i$'s are distinct in $\{1,2,...,n\}$

answered Nov 2, 2018 at 15:12

8 votes

Morphisms of formal group laws $\,F_a \rightarrow F_m\,$ and $\,F_m\to F_m$

answered Nov 10, 2017 at 11:46

8 votes

A short proof for simple connectedness of the projective line

answered Nov 15, 2017 at 16:57

8 votes

Accepted

Prove a family of series having integer coefficients

answered Apr 10, 2017 at 6:05

8 votes

Accepted

Averaging $2^{\omega(n)}$ over a region

answered Oct 31, 2017 at 10:13

8 votes

Manifolds with polynomial transition maps

answered Jul 17, 2017 at 13:12

8 votes

Accepted

Critical values of analytic functions of several variables

answered Aug 30, 2017 at 9:11

8 votes

Can K[[T_1,...,T_∞]] be embedded into K[[X,Y]]?

answered Jun 20, 2016 at 14:17

8 votes

Which spaces have enough curves

answered Jun 16, 2016 at 9:14

7 votes

Accepted

Do the roots lie exactly on the Szego Curve or Approach it?

answered Oct 16, 2012 at 19:12

7 votes

Accepted

Particular sum on product partitions into k parts

answered Dec 5, 2016 at 10:17

7 votes

A seemingly simple inequality

answered Jan 15, 2017 at 21:47

7 votes

Accepted

Inquiry on the Chebyshev $\theta$ function

answered Oct 17, 2017 at 7:04

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82 Answers

Are the 'semi' trivial zeros of $\zeta(s) \pm \zeta(1-s)$ all on the critical line?

Why is Oka's coherence theorem a deep result?

The $n$-th derivative has $n$ zeros. Can such a function be unbounded?

When is the map $H^0(X,mK_X) \times H^0(X,nK_X) \to H^0(X,(m+n)K_X)$ surjective?

Congruence equation and quadratic residue

Can you use Chevalley‒Warning to prove existence of a solution?

A simple number theory confirmation

Geometric intuition for Fontaine-Wintenberger?

Integer-valued power sums

Sets of unit fractions with sum $\leq 1$

Changing values of digits of an algebraic irrational number

Current state of the Komlos conjecture on vector balancing

Random walk to stay in an interval forever

Generalization of Mertens' theorem

Proof of a combinatorial identity (possibly using trigonometric identities)

Asymptotic estimate of double summation

Estimates for $\sum_{n\leq x} d(n)^a$

Find the tight upper bound of $\sum_{i=1}^n \frac{i}{i+x_i}$, where the $x_i$'s are distinct in $\{1,2,...,n\}$

Morphisms of formal group laws $\,F_a \rightarrow F_m\,$ and $\,F_m\to F_m$

A short proof for simple connectedness of the projective line

Prove a family of series having integer coefficients

Averaging $2^{\omega(n)}$ over a region

Manifolds with polynomial transition maps

Critical values of analytic functions of several variables

Can K[[T_1,...,T_∞]] be embedded into K[[X,Y]]?

Which spaces have enough curves

Do the roots lie exactly on the Szego Curve or Approach it?

Particular sum on product partitions into k parts

A seemingly simple inequality

Inquiry on the Chebyshev $\theta$ function