On arithmetic progressions of equal lengthsand equal products of terms
On arithmetic progressions on Edwards curves
Let and a,q ∈ ℚ. Denote by the set of rational numbers d such that a, a + q, ..., a + (m-1)q form an arithmetic progression in the Edwards curve . We study the set and we parametrize it by the rational points of an algebraic curve.
On arithmetic progressions on elliptic curves.
On arithmetic progressions with equal products
On arithmetic properties of the convergents of Euler's number
On arithmetic quotients of the Siegel upper half space of degree two
On Artin -functions for octic quaternion fields.
On Artin L-Functions Associated to Hilbert Modular Forms of Weight One.
On Artin's conjecture.
On Artin's Conjecture and Euclid's Algorithm in Global Fields.
On Artin-Verdier Duality for Function Fields.
On asymptotic constants related to products of Bernoulli numbers and factorials.
On asymptotic density and uniformly distributed sequences
Assuming Martin's axiom we show that if X is a dyadic space of weight at most continuum then every Radon measure on X admits a uniformly distributed sequence. This answers a problem posed by Mercourakis [10]. Our proof is based on an auxiliary result concerning finitely additive measures on ω and asymptotic density.
On asymptotically correlated -multiplicative functions.
On Automorphic Forms and Hodge Theory.
On Automorphic Forms on the Unitary Symplectic Group Sp (n) and SL2 (R).
On automorphic L-functions for the Jacobi group of degree one and a relation with L-functions for Jacobi forms.
On automorphism groups of -adic Schottky curves
On automorphisms of quaternion orders.
On -sequences
Introduction. An old conjecture of P. Erdős repeated many times with a prize offer states that the counting function A(n) of a -sequence A satisfies . The conjecture was proved for r=2 by P. Erdős himself (see [5]) and in the cases r=4 and r=6 by J. C. M. Nash in [4] and by Xing-De Jia in [2] respectively. A very interesting proof of the conjecture in the case of all even r=2k by Xing-De Jia is to appear in the Journal of Number Theory [3]. Here we present a different, very short proof of Erdős’...