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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

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

Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]

Res Number Theory
Fong HL.
europepmc   +1 more source