User Glacier - MathOverflow

18 votes

1 answer

715 views

Best practices for citing and documenting certified computations in a mathematics paper

asked Feb 22 at 18:59

9 votes

1 answer

806 views

What to do next when extensive computations support a conjectural bound but no proof is in sight?

asked Feb 25 at 23:37

7 votes

0 answers

347 views

Simplifying a combinatorial expression involving Stirling numbers and Bernoulli numbers

asked Jan 12 at 5:11

7 votes

1 answer

322 views

Polynomial asymptotics for iterated harmonic sums

asked Feb 6 at 4:31

4 votes

1 answer

232 views

Asymptotic behavior of an alternating multidimensional harmonic sum series

asked Jan 27 at 3:23

3 votes

1 answer

318 views

Asymptotic growth of prime power counting function

asked Jan 20 at 20:10

3 votes

0 answers

74 views

Uniform constant mean of fractional part $\left\{\dfrac{X}{k_1\cdots k_t}\right\}$ over ordered factorizations

asked Feb 8 at 23:57

2 votes

1 answer

148 views

Average fractional parts over ordered factorizations: does $F_t(X)/N_t(X)$ converge?

asked Feb 14 at 3:32

2 votes

1 answer

217 views

Weighted sums of prime-power divisors over short intervals

asked Jan 21 at 22:35

2 votes

1 answer

170 views

Reference Request: Dirichlet Style Counting Function

asked Jan 13 at 21:37

2 votes

1 answer

281 views

Bounds on the summatory Möbius function on arithmetic progressions

asked Jan 29 at 5:40

2 votes

1 answer

259 views

Generalized product of falling factorials

asked Jan 12 at 2:52

2 votes

2 answers

235 views

Bounds on the residuals for estimating number of squarefree numbers

asked Jan 25 at 7:24

2 votes

0 answers

75 views

Perron inversion/truncation error for $\Phi(s) = 1 - \frac{\log \zeta(s)}{\zeta(s) - 1}$

asked Feb 7 at 1:41

2 votes

0 answers

81 views

Bounds / cancellation for $\Delta_k(x)-\Delta_{k+1}(x)$ arising from telescoping main terms

asked Feb 8 at 3:53

1 vote

0 answers

86 views

Positivity of $A((x+1)^2)-A(x^2)$ via Perron inversion for $\Phi(s)=\frac{\log\zeta(s)}{\zeta(s)-1}-1$

asked Feb 8 at 5:53

1 vote

0 answers

77 views

A Tauberian theorem for a Dirichlet series with logarithmic singularity at $s=1$

asked Feb 7 at 2:28

1 vote

2 answers

207 views

Upper bounds on prime zeta function series

asked Jan 16 at 19:57

1 vote

0 answers

67 views

Asymptotic growth of the difference in prime power counting functions

asked Jan 18 at 23:56

1 vote

1 answer

244 views

Generalized partial harmonic sum

asked Jan 10 at 7:20

1 vote

1 answer

94 views

Nested integral over multiplicative region with Heaviside step function

asked Jan 11 at 2:36

1 vote

1 answer

92 views

Bounds for an average fractional-part difference via divisor sums in short intervals

asked Feb 15 at 21:15

1 vote

1 answer

93 views

Short-interval error bounds for the generalized Piltz divisor problem

asked Feb 16 at 5:55

1 vote

0 answers

184 views

+50

Reciprocal-phase exponential sums with $w(n)$ defined by $1 - \frac{\log \zeta(s)}{\zeta(s) - 1}$

asked Feb 20 at 0:00

1 vote

0 answers

70 views

Uniform bounds for dyadic reciprocal-phase exponential sums $\sum_{K < n \leq 2K} e(hX/n)$

asked Feb 21 at 23:30

0 votes

0 answers

75 views

Bounding a weighted reciprocal-threshold residual sum

asked Feb 25 at 6:56

0 votes

0 answers

177 views

Pointwise bounds for an alternating weighted fractional-part sum over ordered factorizations

asked Feb 18 at 0:26

0 votes

0 answers

25 views

Pointwise bounds for a weighted multiples discrepancy $\sum_{m\le X} w_T(m)\big(\Delta_m(X,\delta)-\delta/m\big)$

asked Feb 14 at 6:53

0 votes

0 answers

72 views

Bounding Taylor coefficients of $1/(s(\zeta(1+s)-1))$ to justify summing a polynomial asymptotic up to $t\asymp \log n$

asked Feb 11 at 0:48

0 votes

0 answers

76 views

Bounding the accumulated error in an alternating $\log(x)^k/(k+1)!$ expansion

asked Feb 12 at 5:07

Stack Exchange Network

35 Questions

Best practices for citing and documenting certified computations in a mathematics paper

What to do next when extensive computations support a conjectural bound but no proof is in sight?

Simplifying a combinatorial expression involving Stirling numbers and Bernoulli numbers

Polynomial asymptotics for iterated harmonic sums

Asymptotic behavior of an alternating multidimensional harmonic sum series

Asymptotic growth of prime power counting function

Uniform constant mean of fractional part $\left\{\dfrac{X}{k_1\cdots k_t}\right\}$ over ordered factorizations

Average fractional parts over ordered factorizations: does $F_t(X)/N_t(X)$ converge?

Weighted sums of prime-power divisors over short intervals

Reference Request: Dirichlet Style Counting Function

Bounds on the summatory Möbius function on arithmetic progressions

Generalized product of falling factorials

Bounds on the residuals for estimating number of squarefree numbers

Perron inversion/truncation error for $\Phi(s) = 1 - \frac{\log \zeta(s)}{\zeta(s) - 1}$

Bounds / cancellation for $\Delta_k(x)-\Delta_{k+1}(x)$ arising from telescoping main terms

Positivity of $A((x+1)^2)-A(x^2)$ via Perron inversion for $\Phi(s)=\frac{\log\zeta(s)}{\zeta(s)-1}-1$

A Tauberian theorem for a Dirichlet series with logarithmic singularity at $s=1$

Upper bounds on prime zeta function series

Asymptotic growth of the difference in prime power counting functions

Generalized partial harmonic sum

Nested integral over multiplicative region with Heaviside step function

Bounds for an average fractional-part difference via divisor sums in short intervals

Short-interval error bounds for the generalized Piltz divisor problem

Reciprocal-phase exponential sums with $w(n)$ defined by $1 - \frac{\log \zeta(s)}{\zeta(s) - 1}$

Uniform bounds for dyadic reciprocal-phase exponential sums $\sum_{K < n \leq 2K} e(hX/n)$

Bounding a weighted reciprocal-threshold residual sum

Pointwise bounds for an alternating weighted fractional-part sum over ordered factorizations

Pointwise bounds for a weighted multiples discrepancy $\sum_{m\le X} w_T(m)\big(\Delta_m(X,\delta)-\delta/m\big)$

Bounding Taylor coefficients of $1/(s(\zeta(1+s)-1))$ to justify summing a polynomial asymptotic up to $t\asymp \log n$

Bounding the accumulated error in an alternating $\log(x)^k/(k+1)!$ expansion