Hasil untuk "math.NT"

John Friedlander

We survey and study some aspects of the distribution of primes in very short intervals.

Keith Ball

This note contains a short proof of the functional equation for the zeta function.

Yuchen Ding

In this note, we disprove two Romanov type conjectures posed by Chen.

Dylon Chow

We study surjectivity of a localization map in Galois cohomology.

Ritabrata Munshi

We use GL(2) delta method to establish the Burgess bound.

Daeyeol Jeon

In this study, we determine all modular curves $X_0(N)$ that admit infinitely many cubic points.

Avraham Bourla

We provide algorithms for the absolute and alternating Ostrowski Expansions of the continuum and provide proofs for their uniqueness.

Jean Bourgain

It is shown that control of the Schrodinger maximal functions $\sup_{0<t<1}|e^{itΔ} f|$ for $f\in H^s(\mathbb R^n)$ requires $s\geq \frac n{2(n+1)}$

Yury Pupyrev

We prove, that $$ \biggl\|\biggl(\frac43\biggr)^k\biggr\| >\biggl(\frac49\biggr)^k\qquad\text{for}\quad k\ge6, $$ where $\|\cdot\|$ is a distance to the nearest prime.

Gerasimos Dousmanis

We classify 3-dimensional semistable Frob-semisimple representations of $G_{\mathbb{Q}_{p^{f}}}.$

Wu Xiaosheng

In this paper, we prove that there are more than 66.036% of zeros of the Riemann zeta-function are distinct.

Marie Jameson

We prove two conjectures of Paule and Radu from their recent paper on broken k-diamond partitions.

Thomas Sauvaget

An elementary gap in the proof of corollary 2.2 was found, the claim in the first version of the paper is thus retracted.

Shaoji Feng

it is proved that at least 41.28% zeros of the Riemann zeta function are on the critical line

Gert Almkvist

New formulas for 1/Pi^2 are found by transforming Guillera's formulas

L. A. Gutnik

New expansions of the number zeta(3) in continuous fractions are found.

Veronica Bishop

Veronica Bishop

Veronica Bishop

Anton Deitmar

We deduce from Arthur's trace formula a formula with only orbital integrals on the geometric side.