Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Gauss's inequality"'
Autor:
Ran Duan, Wenpeng Zhang
Publikováno v:
Journal of Number Theory. 179:77-87
The main purpose of this paper is using the elementary methods, the orthogonality of characters and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean square value involving Dirichlet L-functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::010d73e972434cd87c83ca034ba84801
https://doi.org/10.1016/j.jnt.2017.03.019
https://doi.org/10.1016/j.jnt.2017.03.019
Autor:
Alexander Kalmynin
Publikováno v:
Mathematical Notes. 99:470-476
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cad54b221dae9a3b6ce89f1ef8e769f6
https://doi.org/10.1134/s0001434616030184
https://doi.org/10.1134/s0001434616030184
Publikováno v:
Mathematical Programming. 156:271-302
A sharp upper bound on the probability of a random vector falling outside a polytope, based solely on the first and second moments of its distribution, can be computed efficiently using semidefinite programming. However, this Chebyshev-type bound ten
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73e3df87b515c2c6c9ed5cd5a7316148
https://doi.org/10.1007/s10107-015-0878-1
https://doi.org/10.1007/s10107-015-0878-1
Autor:
Emek Demirci Akarsu
Publikováno v:
Volume: 39, Issue: 4 527-537
Turkish Journal of Mathematics
Turkish Journal of Mathematics
In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue of weak invariance principle for these sums. We focus our attention exclusively on a generalization of the limit distribution of the long incom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55f8dc2324b920f729ec5e6e37b6c09f
https://doi.org/10.3906/mat-1410-46
https://doi.org/10.3906/mat-1410-46
Autor:
Anastasios N. Zachos
Publikováno v:
Mediterranean Journal of Mathematics. 12:1069-1083
We solve a generalized Gauss problem in the Euclidean plane which states that: Given a convex quadrilateral, a positive number (weight) that corresponds to each of its vertices and a length of a linear segment which connects two mobile interior point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e5ed24c7db6b6dbe3a9badc8ac0453d
https://doi.org/10.1007/s00009-014-0438-6
https://doi.org/10.1007/s00009-014-0438-6
Autor:
Ksenija Smoljak, Josip Pečarić
Publikováno v:
Acta Mathematica Vietnamica. 39:347-358
In this paper, functionals defined as the difference between the left-hand and the right-hand sides of generalizations of Steffensen’s and Gauss’ inequality are studied. n-exponential and exponential as well as logarithmic convex functions relate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0978233526957eecd214f5d2a5d7bc26
https://doi.org/10.1007/s40306-014-0067-y
https://doi.org/10.1007/s40306-014-0067-y
Autor:
Michele Elia, Davide Schipani
Publikováno v:
Bull. Pol. Acad. Sci. Math.
An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field \mathbb F_{2^s} without using Davenport Hasse's theorem (namely if s is odd the Gauss sum is 1 and if s is even its value is ( 2)^{s/2})
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21e767cbe91502809e65985038a555cc
https://doi.org/10.4064/ba59-1-2
https://doi.org/10.4064/ba59-1-2
Autor:
Qunying Liao, Yuan He
Publikováno v:
Journal of Number Theory. 129(5):1075-1089
In this paper we study the fourth mean value of generalized quadratic Gauss sums, and get an interesting identity associated with Weil's estimate, ∑ a = 2 p − 2 ∑ b = 1 p − 1 ( a 2 − b 2 p ) ( b 2 − 1 p ) = { 10 − 2 p , p ≡ 1 (mod 4)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ddb81df78b131c99ec50030bde25b13
Autor:
Young-Ho Ahn
Publikováno v:
Honam Mathematical Journal. 30:733-741
Let T be Gauss transformation on the unit interval defined by T (x) = where {x} is the fractional part of x. Gauss transformation is closely related to the continued fraction expansions of real numbers. We show that almost every x is mod M normal num
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c1997eadb9aa51a6ab5a83ab896dcb4
https://doi.org/10.5831/hmj.2008.30.4.733
https://doi.org/10.5831/hmj.2008.30.4.733
Autor:
Tariq A. Al-Fadhel
Publikováno v:
Applied Mathematics and Computation. 194:520-526
This paper shows that blocks of different entries and different lengths can have the same probability of occurrence in the representation of any continued fraction which its orbit distributed according to Gauss measure. More precisely there are block
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac98dbadd74c5e55404cfe02644cb61d
https://doi.org/10.1016/j.amc.2007.04.058
https://doi.org/10.1016/j.amc.2007.04.058