期刊： JOURNAL OF NUMBER THEORY, 2023; 242 ()
For any number field not containing Q(i), we give an explicit construction to prove that there exists an elliptic curve defined over this field such t......
期刊： JOURNAL OF NUMBER THEORY, 2023; 242 ()
Let K be a mixed characteristic local field whose residue field has cardinality q, and let n be an integer dividing q - 1. In the first part of this d......
期刊： JOURNAL OF NUMBER THEORY, 2023; 249 ()
We build a one-variable p-adic L -function attached to two Hida families of ordinary p -stabilised newforms f, g, interpo-lating the algebraic part of......
期刊： JOURNAL OF NUMBER THEORY, 2023; 249 ()
For primes p > 3 we produce a new derivation of the universal p-adic sigma function and p-adic Weierstrass zeta functions of Mazur and Tate for ell......
期刊： JOURNAL OF NUMBER THEORY, 2023; 253 ()
We study the problem of the embedding degree of an abelian variety over a finite field and extend some of the results of [1]. In particular, we show t......
期刊： JOURNAL OF NUMBER THEORY, 2023; 243 ()
We give a comprehensive description of the sets A in finite cyclic groups such that |2A| < 94|A|; namely, we show that any set with this property i......
期刊： JOURNAL OF NUMBER THEORY, 2023; 251 ()
Let q be an odd prime, x be a non-principal Dirichlet character mod q and L(s, x) be the associated Dirichlet L -function. For every odd prime q &......
期刊： JOURNAL OF NUMBER THEORY, 2023; 252 ()
Suppose that p is an odd prime, and R = GR(p2, p2r) is a Galois ring of characteristic p2, whose cardinality is p2r. For any subset D & SUBE; R, l......
期刊： JOURNAL OF NUMBER THEORY, 2023; 243 ()
Let S be the collection of quadratic polynomial maps, and degree 2-rational maps whose automorphism groups are isomorphic to C2 defined over the ratio......
期刊： JOURNAL OF NUMBER THEORY, 2023; 246 ()
This corrigendum replaces the family g(u)(x) in Theorem1 of the paper Continued fractions for rational torsion published in the Journal of Number Theo......
期刊： JOURNAL OF NUMBER THEORY, 2023; 249 ()
For a finite group G, we denote by d(G) and by E(G), respectively, the small Davenport constant and the Gao constant of G. Let Cn be the cyclic group ......
期刊： JOURNAL OF NUMBER THEORY, 2023; 253 ()
We show that the Freiman-Ruzsa theorem, characterising finite sets with bounded doubling, leads to an alternative proof of a characterisation of Meyer......
期刊： JOURNAL OF NUMBER THEORY, 2023; 242 ()
Let 0 < theta <= 1. An increasing sequence (xi)ni=1 of positive integers is an n-term Egyptian underapproximation sequence of theta if Sigma n x......
期刊： JOURNAL OF NUMBER THEORY, 2023; 242 ()
In this paper we show that for every Dirichlet L-function L(s, chi) and every N >= 2 the Dirichlet series L(s, chi) + L(2s, chi) + center dot cente......
期刊： JOURNAL OF NUMBER THEORY, 2023; 243 ()
Let G be a split reductive group with dim Z(G) <= 1. We show that for any prime p that is large enough relative to G, there is a finitely ramified ......
