Results 21 to 30 of about 11,421,197 (96)
ON THE WARING–GOLDBACH PROBLEM WITH ALMOST EQUAL SUMMANDS [PDF]
Mathematika, 2019 We use transference principle to show that whenever $s$ is suitably large depending on $k \geq 2$, every sufficiently large natural number $n$ satisfying some congruence conditions can be written in the form $n = p_1^k + \dots + p_s^k$, where $p_1, \dots,
Juho Salmensuu
semanticscholar +1 more source
Waring-Goldbach Problem with Piatetski-Shapiro Primes [PDF]
, 2016 In this paper, we exhibit an asymptotic formula for the number of representations of a large integer as a sum of a fixed power of Piatetski-Shapiro primes, thereby establishing a variant of Waring-Goldbach problem with primes from a sparse sequence.
Yildirim Akbal, A. M. Guloglu
semanticscholar +1 more source
Relations between exceptional sets for additive problems [PDF]
, 2010 We describe a method for bounding the set of exceptional integers not represented by a given additive form in terms of the exceptional set corresponding to a subform. Illustrating our ideas with examples stemming from Waring's problem for cubes, we show,
Kawada, Koichi, Wooley, Trevor D.
core +3 more sources
EXPONENTIAL SUMS OVER PRIMES IN SHORT INTERVALS AND AN APPLICATION TO THE WARING–GOLDBACH PROBLEM [PDF]
Mathematika, 2014 Let $\Lambda(n)$ be the von Mangoldt function, $x$ real and $2\leq y \leq x$. This paper improves the estimate on the exponential sum over primes in short intervals \[ S_k(x,y;\alpha) = \sum_{x< n \leq x+y} \Lambda(n) e\left( n^k \alpha \right) \] when $
Bingrong Huang
semanticscholar +1 more source
Rational lines on cubic hypersurfaces [PDF]
, 2020 We show that any smooth projective cubic hypersurface of dimension at least $29$ over the rationals contains a rational line. A variation of our methods provides a similar result over p-adic fields.
Brandes, Julia, Dietmann, Rainer
core +2 more sources
Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem
Open Mathematics, 2017 In this paper, we are able to prove that almost all integers n satisfying some necessary congruence conditions are the sum of j almost equal prime cubes with j = 7, 8, i.e., N=p13+…+pj3$\begin{array}{} N=p_1^3+ \ldots +p_j^3 \end{array} $ with |pi−(N ...
Feng Zhao
doaj +1 more source
Sum of one prime and two squares of primes in short intervals [PDF]
, 2015 Assuming the Riemann Hypothesis we prove that the interval $[N, N + H]$ contains an integer which is a sum of a prime and two squares of primes provided that $H \ge C (\log N)^{4}$, where $C > 0$ is an effective constant.Comment: removed unconditional ...
Languasco, Alessandro +1 more
core +3 more sources
If You Prick Us: Masculinity and Circumcision Pain in the United States and Canada, 1960–2000
, 2020 Gender &History, Volume 32, Issue 1, Page 54-69, March 2020.
Laura M. Carpenter
wiley +1 more source
Linnik's approximation to Goldbach's conjecture, and other problems
, 2015 We examine the problem of writing every sufficiently large even number as the sum of two primes and at most $K$ powers of 2. We outline an approach that only just falls short of improving the current bounds on $K$.
Platt, Dave, Trudgian, Tim
core +1 more source
, 2015 Estimates are provided for $s$th moments of cubic smooth Weyl sums, when $4\le s\le 8$, by enhancing the author's iterative method that delivers estimates beyond classical convexity.
Wooley, Trevor D.
core +1 more source