On the p-adic L-function of Hilbert modular forms at supersingular primesZhangB.OPTICS COMMUNICATIONS
On the hamiltonian whose spectrum coincides with the set of primes. arXiv:0709.0364v1 [math-ph - Sekatskii - 2007 () Citation Context ...ould appear using only the two sets of zeroes we have discussed in this note. For the construction of an Hamiltonian whose spectrum coincides with the ...
An average type result on the number of primes satisfying generalized Wieferich condition 喜欢 0 阅读量: 28 作者: Leo Murata 摘要: Project Euclid - mathematics and statistics online DOI: 10.3792/pjaa.57.430 被引量: 6 年份: 1981 收藏 引用 批量引用 报错 分享 ...
Moreover, assuming the Riemann hypothesis, we apply the theory of the Riemann zeta-function to extend this mod-Gaussian convergence to the complex plane. From this we obtain that \\\({\\\mathrm{Im }}\\\log \\\zeta (1/2+it)\\\) satisfies a large deviation principle on the critical...
On the Number of Primes Less Than a Given Magnitude 作者:Lambert M·Surhone/Mariam T·Tennoe/Susan F·Henssonow 页数:160 ISBN:9786131301582 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 推荐
in lattice based cryptosystems, such as power-of-two cyclotomic fields, we show that a majority of rational primes lie under prime ideals admitting a polynomial time algorithm for SVP. Although the shortest vector problem of ideal lattices underpins the security of the Ring-LWE cryptosystem, this...
Following Li-Pan [10], the approach is to reduce the problem to a sieve upper bound πα,β(x)≪xγ/log2x (Lemma 12). The additional complexity in this case emerges from a formula (Lemma 4) for the characteristic function of the Piatetski-Shapiro primes in terms of Chebyshev'...
and so the average gap between primes of size approximately x is log x. ∗ Supported by EPSRC 1 Since log x is small in comparison with x (the size of primes we are considering), it is natural to consider how much larger d n can be than this average. The basic intuition is that...
We give a comprehensive treatment on how F-signatures, splitting primes, splitting ratios, and test modules behave under finite covers. To this end, we expand on the notion of transposability along a section of the relative canonical module as first introduced by K. Schwede and K. Tucker. ...
on the representation of large even integer as a sum of a product of at most 3 primes and a product