Geodesic

Analytic number theory

Sommaire

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s
p. 7-49
On the binary additive divisor problem
p. 50-55
On complete rational arithmetic sums of polynomial values
p. 56-61
Symmetry and short interval mean-squares
p. 62-85
Asymptotics and formulas for cubic exponential sums
p. 86-104
Solution of functional equations related to elliptic functions
p. 105-117
An approximate functional equation for the primitive of Hardy's function
p. 118-126
Internal twists of $L$-functions. II
p. 127-143
On a Diophantine inequality with reciprocals
p. 144-154
Discrete universality in the Selberg class
p. 155-169
Haas--Molnar continued fractions and metric Diophantine approximation
p. 170-191
A few factors from the Euler product are sufficient for calculating the zeta function with high precision
p. 192-202
Jacob's ladders, interactions between $\zeta $-oscillating systems, and a $\zeta $-analogue of an elementary trigonometric identity
p. 203-218
Factorial hypersurfaces
p. 219-233
Sums of values of nonprincipal characters over a sequence of shifted primes
p. 234-260
On a Diophantine inequality with prime numbers of a special type
p. 261-282
Simplex--karyon algorithm of multidimensional continued fraction expansion
p. 283-303