Titlebook: Irregularities in the Distribution of Prime Numbers; From the Era of Helm János Pintz,Michael Th. Rassias Book 2018 Springer International

SLING

GENUS

http://image.papertrans.cn/i/image/475441.jpg

摇曳

https://doi.org/10.1007/978-3-319-92777-0analytic number theory; approximation theory; probabilistic theory; additive number theory; computationa

精确

Chains of Large Gaps Between Primes,arge gaps of primes. Recently, with Green and Konyagin, the authors showed that . for sufficiently large .. In this note, we combine the arguments in that paper with the Maier matrix method to show that . for any fixed . and sufficiently large .. The implied constant is effective and independent of ..

完整

transdermal

Distribution of Large Gaps Between Primes,We survey some past conditional results on the distribution of large gaps between consecutive primes and examine how the Hardy–Littlewood prime .-tuples conjecture can be applied to this question.

alcohol-abuse

On the Difference in Values of the Euler Totient Function Near Prime Arguments,We prove unconditionally that for each ., the difference .(. − .) − .(. + .) is positive for 50. of odd primes . and negative for 50..

Inferior

含沙射影

Sums of Values of Nonprincipal Characters over Shifted Primes,For a nonprincipal character . modulo ., when ., (., .) = 1, we prove a nontrivial estimate of the form . for the sum of values of . over a sequence of shifted primes.

语言学