Results 1 to 10 of about 738 (156)

Stronger arithmetic equivalence

Discrete Analysis, 2021
Stronger arithmetic equivalence, Discrete Analysis 2021:23, 23 pp. An algebraic number field is a subfield $K$ of $\mathbb C$ that is finite-dimensional when considered as a vector space over $\mathbb Q$, which implies that every element of $K$ is ...
Andrew V. Sutherland
doaj   +1 more source

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source

Feasibility of primality in bounded arithmetic

Forum of Mathematics, Sigma
We prove the correctness of the AKS algorithm [1] within the bounded arithmetic theory $T^{\text {count}}_2$ or, equivalently, the first-order consequences of the theory $\text {VTC}^0$ expanded by the smash function, which we denote by
Raheleh Jalali, Ondřej Ježil
doaj   +1 more source

Formal Verification, Integration and Physical Evaluation of Prime-Field Masking on Silicon

Transactions on Cryptographic Hardware and Embedded Systems
The resistance of provably secure masked circuits to physical attacks depends in part on the underlying algebraic group and recombination function. Masking over finite fields of odd prime order has been demonstrated, both in theory and in practice, to ...
Gaëtan Cassiers, Thorben Moos, Amir Moradi, Nicolai Müller, François-Xavier Standaert   +4 more
doaj   +1 more source

The Mean Square of the Hurwitz Zeta-Function in Short Intervals

Axioms
The Hurwitz zeta-function ζ(s,α), s=σ+it, with parameter ...
Antanas Laurinčikas, Darius Šiaučiūnas   +1 more
doaj   +1 more source

A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with <i>p</i>-Modular Lattice Constructions. [PDF]

Entropy (Basel)
Khodaiemehr H, Bagheri K, Mohajer A, Feng C, Panario D, Leung VCM.   +5 more
europepmc   +1 more source

Noncyclic BCH and Srivastava codes over the subgroup of the groups of units of Galois rings [Formula: see text] for advanced error control. [PDF]

Sci Rep
Sajjad M, Bashir Q, Haleemzai I, Abdalrahem MK, Hazzazi MM.   +4 more
europepmc   +1 more source

Eigenweights for arithmetic Hirzebruch Proportionality. [PDF]

PNAS Nexus
Feng T.
europepmc   +1 more source

On <i>p</i>-adic <i>L</i>-functions for symplectic representations of GL ( N ) over number fields. [PDF]

Res Math Sci
Williams C.
europepmc   +1 more source

Accelerated Multisecret Sharing Scheme Using Fast Matrix Spectral Factorization. [PDF]

Entropy (Basel)
Çalkavur S, Solé P, Ephremidze L.
europepmc   +1 more source