S-unit points on analytic hypersurfaces
Supercongruences for the Almkvist-Zudilin numbers
We prove a conjecture on supercongruences for sequences that have come to be known as the Almkvist-Zudilin numbers. Some other (naturally) related family of sequences will be considered in a similar vain.
Superelliptic equations arising from sums of consecutive powers
Using only elementary arguments, Cassels solved the Diophantine equation (x-1)³ + x³ + (x+1)³ = z² (with x, z ∈ ℤ). The generalization (with x, z, n ∈ ℤ and n ≥ 2) was considered by Zhongfeng Zhang who solved it for k ∈ 2,3,4 using Frey-Hellegouarch curves and their corresponding Galois representations. In this paper, by employing some sophisticated refinements of this approach, we show that the only solutions for k = 5 have x = z = 0, and that there are no solutions for k = 6. The chief innovation...
Superelliptic Equations of the form y^p=x^kp+a_(kp-1)x^(kp-1)+...+a_0
Supernomial coefficients, supernomials coefficients Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems.
Superprimes and a generalized Frobenius symbol
Supersingular curves of genus two and class numbers
Supersingular distribution on average for congruence classes of primes
Supersingular primes for elliptic curves over real number fields
Supertempered virtual characters
Supplements to the theory of quartic residues
Support polygons and the resolution of modular functional singularities
Sur certaines équations fonctionnelles arithmétiques
Soit le -ième nombre premier. Une fonction arithmétique complètement additive est définie sur par la donnée des et la formule , où désigne la...
Sur certaines fonctions arithmétiques
Sur certaines fractions continues finies
Sur certaines hypothèses concernant les nombres premiers
Sur certaines relations restant valables si l'on permute les opérateurs y intervenant
Sur certaines séries entières arithmétiques
Sur certaines séries entières particulières
Sur certaines sommes arithmétiques