Results 11 to 20 of about 3,389 (180)
Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
The distribution of spacings of real‐valued lacunary sequences modulo one
Mathematika, 2022 12 ...
Chaubey, Sneha, Yesha, Nadav
openaire +3 more sources
Distribution Modulo One of αpγ + β for Special Classes of Primes
AxiomsLet α,β∈R with α≠0, and let γ∈(0,5/6). Define the set M1 to consist of primes p such that p+2 is almost prime, and let M2 be the set of primes of the form p=a2+b2+1.
Atanaska Georgieva, Tatiana L. Todorova
doaj +1 more source
Tangential forces in the contact area of upper road layer with the base
MATEC Web of Conferences, 2018 Low-temperature cracking is one of the main reasons for the deterioration of the upper layer of roads in regions with cold winters. A large number of works focused on deterioration prevention are known, however the interdisciplinary problem of low ...
Gavrilov Timmo +2 more
doaj +1 more source
On the Distribution of ap Modulo One
Journal of Number Theory, 1993 AbstractIn this paper, we prove: "Suppose α is an irrational number and let ||y|| denote the smallest distance of y from an integer. Then, for any real number β, there are infinitely many primes p such that ||αp − β|| < p−4/13."
openaire +1 more source
The $a$-points of the Selberg zeta-function are uniformly distributed modulo one [PDF]
Illinois Journal of Mathematics, 2014 Let \(X\) be a compact Riemann surface of genus \(g\geq 2\), and \(Z(s)\) be the associated Selberg zeta-function. For a complex number \(a\), the solutions of \(Z(s)=a\) are called \(a\)-points of \(Z(s)\). The main result of the paper under review is that, the imaginary parts of nontrivial \(a\)-points of the Selberg zeta-function \(Z(s)\) are ...
Garunkštis, Ramūnas +2 more
openaire +3 more sources
On the Distribution of αp2 + β Modulo One and r-Free Integers
MathematicsLet α be an irrational number, β a real number, and a1,…,as a set of distinct positive integers that do not form a reduced residue system modulo pr for any prime p.
Tatiana L. Todorova, Atanaska Georgieva
doaj +1 more source
Advanced Engineering Research, 2017 Introduction . One of the tasks arising in cryptography is to ensure the safe and honest conduct of e-voting. This procedure provides that voters submit their votes electronically - for example, through electronic terminals.
Larisa V. Cherkesova +3 more
doaj +1 more source
The Zeros of the Lerch Zeta-Function are Uniformly Distributed Modulo One
Ukrainian Mathematical Journal, 2021 UDC 511.311We prove that the ordinates of the nontrivial zeros of the Lerch zeta-function are uniformly distributed modulo one.
Garunkštis, R., Panavas, T.
openaire +1 more source
Uniform distribution modulo one on subsequences [PDF]
Proceedings of the American Mathematical Society, 1999 Let P \mathcal {P} be a set of primes with a divergent series of ...
openaire +2 more sources