学术活动
数论组讲座:The Waring-Goldbach type problems
2013-03-22
来源:科技处 点击次数:主讲人:赵立璐 (合肥工业大学)
时 间:3月22日(周五)16:10-17:10
地 点:威尼斯欢乐娱人城1099北二区教学楼 515 教室
备 注:摘要:We consider some recent progress on Waring-Goldbach type problems for small degrees. In particular, we establish that all sufficiently large natural numbers, subject to a congruence condition, can be represented as the sum of 13 fourth powers of prime numbers. This improves upon the earlier result with 14 variables obtained by Kawada and Wooley. We also discuss exceptional sets for sums of cubes of primes and the quadratic Waring-Goldbach problem with almost prime variables.