Hasil untuk "math.NT"

Kimball Martin

We explore several variations on the recently discovered phenomena of murmurations for elliptic curves and modular forms.

S. I. Dimitrov

This paper presents a brief survey of the most important and the most remarkable inequalities involving the basic arithmetic functions.

Andrej Leško

In this note we prove an inequality involving primes and the product of consecutive primes.

Jean-Stefan Koskivirta

Improved version. To appear in Results in Mathematics.

Hugo Chapdelaine

In this monograph, we study in detail a special class of $GL_2$-real analytic Eisenstein series.

Li-Xia Dai, Hao Pan

We prove several extensions of the Erdos-Fuchs theorem.

Shoyu Nagaoka, Sho Takemori

Some congruence relations satisfied by the theta series associated with the Leech lattice are given.

Joachiom Mahnkopf

We determine the growth of the dimension of the slope subspaces of the cohomology of arithmetic subgroups in reductive algebraic groups as a function of the slope.

Tobias Bembom

This thesis deals with the capitulation problem in class field theory and gives various new insights into the subject.

Hao Pan

In this paper, we prove a divisibility result for the lacunary $q$-binomial sum $$ \sum_{k\equiv r\pmod{c}}(-1)^kq^{\binom{k}{2}}\qbinom{n}{k}{q}\qbinom{(k-r)/c}{l}{q^{c}}. $$

Chandrashekhar Khare, Jean-Pierre Wintenberger

We study properties of ramification in Iwasawa modules.

Hao Pan

We give a q-analogue of Gauss' divisibility theorem

Frank Calegari

We prove that the Coleman-Mazur eigencurve is proper (over weight space) at integral weights in the center of weight space.

Vladimir Shevelev

We prove that if p is a prime with a primitive root 2 then S_p(2^p)=p and give a sufficient condition for an equality of kind S_p(2^p)=+or-p.

Vladimir Shevelev

We give a more strong heuristic justification of our conjecture on the excess of the odious primes.

Nicky Cullum

Collette Clifford

This paper explores some aspects of managing research in healthcare practice today. The work is based largely on government guidelines in England in which a research governance framework has been developed and is now being used to monitor many aspects of research activity in the NHS. Following a brief overview of the evolution of the research governance framework, some aspects of the strategy are outlined and considered. The challenge to nurses is to ensure that research work is developed in accordance with these guidelines, which lay specific expectations on people and organisations working in health-care research

Ann McMahon

Nigel Northcott

The value of appraisal for nurses was the subject of this naturalistic inquiry. The case study was conducted in one health district, at the time that the NHS was in the middle of the drives towards efficiency and effectiveness that accompanied the introduction of the government's White Paper, Working for Patients1 . The findings of the research are presented as eight reflections that are offered for consideration to anyone involved in the appraisal process. These reflections emphasise the value and need for appraisal for nurses, and offer a number of key pointers to ensuring success in the enterprise.

Anton Deitmar

We prove an approximation to an Ihara-formula for the zeta function of an arithmetic quotient of the Bruhat-Tits building of a p-adic PGL(3).