Question

Prove $π(x+y)- π(x) \ll \frac y{\log (\log (y))}$ using Legendre sieve such that $10 ≤ y ≤ x$

score 81 · Answer 1 · 2026-05-10 15:09:54

81

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Prove $π(x+y)- π(x) \ll \frac y{\log (\log (y))}$ using Legendre sieve such that $10 ≤ y ≤ x$

Published on 10 May 2026 - 15:09

score 46 · Answer 2 · 2026-04-15 09:15:48

46

Views

$\zeta(1+it)=0$ implies sum of prime if finite?

Published on 15 Apr 2026 - 9:15

score 146 · Answer 3 · 2026-04-15 21:12:02

146

Views

Unique mixed base number representations?

Published on 15 Apr 2026 - 21:12

score 25 · Answer 4 · 2026-04-17 15:05:19

25

Views

Proving $\left|\sum_{n>x/m} \frac{ \chi(n)}{ n^{s}} \right| \leq 2q |s| (m/x)^{\sigma}$

Published on 17 Apr 2026 - 15:05

score 134 · Answer 5 · 2026-05-10 16:17:35

134

Views

Abscissa of absolute convergence for a particular Dirichlet series

Published on 10 May 2026 - 16:17

score 183 · Answer 6 · 2026-05-10 16:14:49

183

Views

Is this zeta-type function meromorphic?

Published on 10 May 2026 - 16:14

score 70 · Answer 7 · 2026-04-16 12:51:33

70

Views

On the behavior of $|\zeta(1/2 + it)|$ for $t\in(-14,14)$

Published on 16 Apr 2026 - 12:51

score 286 · Answer 8 · 2026-04-11 14:45:31

286

Views

Is the Balazard-Saias-Yor integral non-positive?

Published on 11 Apr 2026 - 14:45

score 81 · Answer 9 · 2026-04-25 16:50:33

81

Views

Might there be a Skewes number for semiprimes?

Published on 25 Apr 2026 - 16:50

score 406 · Answer 10 · 2026-04-15 07:19:07

406

Views

No elliptic curves over $\mathbb{Q}$ with everywhere good reduction

Published on 15 Apr 2026 - 7:19

score 442 · Answer 11 · 2026-05-14 08:55:47

442

Views

Reformulating Theta Function Symmetry as a Modular Form

Published on 14 May 2026 - 8:55

score 78 · Answer 12 · 2026-05-10 15:10:28

78

Views

How correct an estimate for twin primes obtained from the Rosser-Iwaniec sieve and Prime number theorem for arithmetic progressions could be?

Published on 10 May 2026 - 15:10

score 143 · Answer 13 · 2026-04-11 16:56:56

143

Views

A line integral involving $\zeta(s)$

Published on 11 Apr 2026 - 16:56

score 89 · Answer 14 · 2026-04-11 16:01:32

89

Views

On Ramanujan's proof of Bertrand's postulate (using stirling formula)

Published on 11 Apr 2026 - 16:01

score 609 · Answer 15 · 2026-04-16 04:59:07

609

Views

Why couldn't Baez-Duarte prove the Riemann Hypothesis?

Published on 16 Apr 2026 - 4:59

List Question

Prove $π(x+y)- π(x) \ll \frac y{\log (\log (y))}$ using Legendre sieve such that $10 ≤ y ≤ x$

$\zeta(1+it)=0$ implies sum of prime if finite?

Unique mixed base number representations?

Proving $\left|\sum_{n>x/m} \frac{ \chi(n)}{ n^{s}} \right| \leq 2q |s| (m/x)^{\sigma}$

Abscissa of absolute convergence for a particular Dirichlet series

Is this zeta-type function meromorphic?

On the behavior of $|\zeta(1/2 + it)|$ for $t\in(-14,14)$

Is the Balazard-Saias-Yor integral non-positive?

Might there be a Skewes number for semiprimes?

No elliptic curves over $\mathbb{Q}$ with everywhere good reduction

Reformulating Theta Function Symmetry as a Modular Form

How correct an estimate for twin primes obtained from the Rosser-Iwaniec sieve and Prime number theorem for arithmetic progressions could be?

A line integral involving $\zeta(s)$

On Ramanujan's proof of Bertrand's postulate (using stirling formula)

Why couldn't Baez-Duarte prove the Riemann Hypothesis?

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