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2010, Volume 88, Issue 4  

Anatolii Alekseevich Karatsuba (photo)
Benford's Law and Distribution Functions of Sequences in $(0,1)$
V. Baláž, K. Nagasaka, O. Strauch 		485–501
Proof of the Faugère Criterion for the F5 Algorithm
O. N. German 		502–510
On Algebraic Identities between Generalized Hypergeometric Functions
V. A. Gorelov 		511–516
On a Problem of Karatsuba
S. A. Gritsenko 		517–528
Estimates of Character Sums in Finite Fields
S. V. Konyagin 		529–542
Alternatives to the Euler–Maclaurin Formula for Calculating Infinite Sums
Yu. V. Matiyasevich 		543–548
On the Irrationality Exponent of the Number $\ln2$
Yu. V. Nesterenko 		549–564
Two Modularity Lifting Conjectures for Families of Siegel Modular Forms
A. A. Panchishkin 		565–574
Existence of the Kähler–Einstein Metric on Certain Fano Complete Intersections
A. V. Pukhlikov 		575–582
On the Measure of Irrationality of the Number $\pi$
V. Kh. Salikhov 		583–593
The Mean Number of Steps in the Euclidean Algorithm with Odd Incomplete Quotients
A. V. Ustinov 		594–604
Character Sums over Shifted Primes
J. B. Friedlander, K. Gong, I. E. Shparlinski 		605–619
A Supercongruence Motivated by the Legendre Family of Elliptic Curves
Heng Huat Chan, Ling Long, W. Zudilin 		620–624
On Monochromatic Solutions of Some Nonlinear Equations in $\mathbb Z/p\mathbb Z$
I. D. Shkredov 		625–634
The Mellin Transform of Hardy's Function is Entire
M. Jutila 		635–639

Corrections
 640
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