Kth powers in piatetski-shapiro sequences
Web2 jul. 2024 · kth powers in Piatetski-Shapiro sequences - 科研通 已完结 上个求助 相关文献 A REMARK RELATED TO THE FROBENIUS PROBLEM Pseudo-Random … Web17 sep. 2024 · Let ( [n^c])_ {n=1}^\infty be the Piatetski-Shapiro sequences. In this paper, it is proved that there exist infinitely many Piatetski-Shapiro primes in arithmetic progressions for 1<\frac {12} {11}. Moreover, we also prove that there exist infinitely many Carmichael numbers composed entirely of primes from Piatetski-Shapiro sequences …
Kth powers in piatetski-shapiro sequences
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Webbers and Beatty sequences can be found in [10{12,15{17]. It is interesting to generalize the Piatetski{Shapiro sequences in the sense of Beatty sequences, since both Piatetski{Shapiro sequences and Beatty sequences produce in nitely many primes. Let 1 and be real numbers. We investigate the following generalized Piatetski{Shapiro … WebLet β be a real number. Then for almost all irrational α > 0 (in the sense of Lebesgue measure) lim sup x→∞ π∗ α,β(x)(log x) /x ≥ 1, where π∗ α,β(x) = {p ≤ x : both p and ⌊αp + β⌋ are primes}. Recently Jia [4] solved a conjecture of Long and showed that for any irrational number α > 0, there exist infinitely many primes not in the form 2n+ 2⌊αn⌋ + 1, where ⌊x ...
WebA Generalization of Piatetski-Shapiro Sequences. Accepted by Taiwanese J. Math.. (9) J. Qi, V. Z. Guo and Z. Xu. k-th powers in Piatetski-Shapiro sequences. Accepted by Int. J. Number... WebAbstract: The Piatetski-Shapiro sequences are sequences of the form (bncc)1 n=1 for c >1 and c < N. It is conjectured that there are infinitely many primes in Piatetski-Shapiro sequences for c 2(1;2). For every R >1, we say that a natural number is an R-almost prime if it has at most R prime factors, counted with multiplicity.
WebArticle “kth powers in Piatetski-Shapiro sequences” Detailed information of the J-GLOBAL is a service based on the concept of Linking, Expanding, and Sparking, … Web15 apr. 2024 · where \(\lfloor z\rfloor \) is the integer part of a real z.In this paper we investigate the distribution of square-full numbers in Piatetski–Shapiro sequences. Résumé Un entier positif n est appelé un nombre puissant si pour chaque nombre premier p qui divise n, on a \(p^2\mid n\).Les séquences de Piatetski–Shapiro (PS-séquences) …
Web27 mei 2024 · Almost primes in generalized Piatetski-Shapiro sequences Jinyun Qi , Zhefeng Xu , Research Center for Number Theory and Its Applications, Northwest University, Xi'an 710127, China Received: 09 April 2024 Revised: 18 May 2024 Accepted: 25 May 2024 Published: 27 May 2024 MSC : 11B83, 11L07 Abstract Full Text (HTML) …
Web17 sep. 2024 · The Piatetski-Shapiro sequences are sequences of the form $$\begin{aligned} {\mathscr {N}}^{(c)}:=\big ([n^c]\big )_{n=1}^\infty ,\qquad … tinnitus victoria bcWebThe Piatetski{Shapiro sequence associated with c2(1;2) is de ned by (bncc) n2N, where bxcdenotes the oor function. Investigations into arithmetic properties of these types of sequences have attracted wide interest. For example, many papers have been written on the least quadratic non-residues in Piatetski{Shapiro sequences (see [1,2,9,12]). passing variables to shell scriptWebThe goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups.The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and … tinnitus wakes me upWeb1. Spiegelhofer L.: Approximating Piatetski-Shapiro sequences by Beatty sequences, Seminaire de Theorie des Nombres de Nancy-Metz, 06.02.2014, Nancy ... Saad Eddin … passing vector to functionWeb21 feb. 2009 · For almost 40 years Professor Ilya Piatetski-Shapiro has been making major contributions in mathematics by solving outstanding open problems and by introducing new ideas in the theory of automorphic functions and its connections with number theory, algebraic geometry and infinite dimensional representations of Lie groups. tinnitus went away after mouth guardWebgeneralized polynomials, in particular for sequences .n/DbnccCnk with c >1 a non-integral real number and k 2N, as well as for .p/where p runs through all prime numbers. This is related to classical work of Heilbronn and to recent results of Bergelson et al. tinnitus vertigo medication inducedWebsequences, since both Piatetski{Shapiro sequences and Beatty sequences produce in nitely many primes. Let 1 and be real numbers. We investigate the following generalized … tinnitus wakes me up at night