2011/79/3-4
Unique expansions in integer bases with extended alphabets
Martine Baatz and Vilmos Komornik
On the Diophantine equation $x^4-q^4=py^r$
Aurélien Bajolet, Benjamin Dupuy, Florian Luca and Alain Togbé
A note on sum-product estimates
Antal Balog
Additive unit representations in rings over global fields — a survey
Fabrizio Barroero, Christopher Frei and Robert F. Tichy
A superelliptic equation involving alternating sums of powers
Michael A. Bennett
On the size of sets whose elements have perfect power $n$-shifted products
Attila Bérczes, Andrej Dujella, Lajos Hajdu and Florian Luca
Shift radix systems for Gaussian integers and Pethő's Loudspeaker
Horst Brunotte, Peter Kirschenhofer and Jörg M. Thuswaldner
Équations de Fermat—Pell—Mahler simultanées
Yann Bugeaud, Claude Levesque and Michel Waldschmidt
$q$-series: dimension estimates, linear independence
Peter Bundschuh and Keijo Väänänen
Local distribution of the parts of unequal partitions in arithmetic progressions. I.
Cécile Dartyge and Mihály Szalay
The least nonzero digit of $n!$ in base 12
Jean-Marc Deshouillers and Imre Z. Ruzsa
Two results on Beurling generalized numbers
Harold G. Diamond
A survey on monogenic orders
Jan-Hendrik Evertse
Smooth shifted monomial products
Étienne Fouvry and Igor E. Shparlinski
Positive proportion of small gaps between consecutive primes
Daniel Alan Goldston, János Pintz and Cem Yalçin Yildirim
Measures of pseudorandomness of families of binary lattices. I. Definitions, a construction using quadratic characters
Katalin Gyarmati, Christian Mauduit and András Sárközy
Representing integers as linear combinations of powers
Lajos Hajdu and Robert Tijdeman
A note on speeding up exponentiation by precomputation
Tamás Herendi
A homomorphic encryption-based secure electronic voting scheme
Andrea Huszti
A correspondence theorem for $L$-functions and partial differential operators
Jerzy Kaczorowski and Alberto Perelli
Some extensions of Alon's Nullstellensatz
Géza Kós, Tamás Mészáros and Lajos Rónyai
Primitive sets with large counting functions
Greg Martin and Carl Pomerance
On Kleinbock's Diophantine result
Nikolay Moshchevitin
Prime factorization by interval-valued computing
Benedek Nagy and Sándor Vályi
A note on Euler's $\phi$-function
Władysław Narkiewicz
Geometric group theory and arithmetic diameter
Melvyn B. Nathanson
Rational general solutions of parametrizable AODEs
Lâm Xuân Châu Ngô and Franz Winkler
Discrepancy bounds for hybrid sequences involving matrix-method pseudorandom vectors
Harald Niederreiter
Resolution of a nontrivial Diophantine equation without reduction methods
Ákos Pintér and Nóra Varga
On computing non-Galois cubic global function fields of prescribed discriminant in characteristic $＞3$
Michael E. Pohst
On the simple zeros of shifted Euler polynomials
Csaba Rakaczki
A Turán—Kubilius type inequality on shifted products
Joël Rivat and András Sárközy
Integer solutions to decomposable and semi-decomposable form inequalities
Min Ru
The difference graph of $S$-units
Imre Z. Ruzsa
On the counting function of sets with even partition functions
Fethi Ben Said and Jean-Louis Nicolas
Conjecture of Pomerance for some even integers and odd primorials
N. Saradha
On reducible trinomials. IV.
Andrzej Schinzel
Post-quantum cryptography: lattice identification schemes
Rosemberg Silva, Pierre-Louis Cayrel and Johannes Buchmann
On the Diophantine equation $L_n=\binom{x}{5}$
Szabolcs Tengely