On the Vinogradov additive problem G. I. ArkhipovV. N. Chubarikov OriginalPaper 09 November 2010 Pages: 295 - 307
Exact values of the sums of multiplicative characters of polynomials over finite fields L. A. BassalygoV. A. Zinov’ev OriginalPaper 09 November 2010 Pages: 308 - 316
Remark on factorials that are products of factorials K. G. BhatK. Ramachandra OriginalPaper 09 November 2010 Pages: 317 - 320
A note on Burgess’s estimate P. X. GallagherH. L. Montgomery OriginalPaper 09 November 2010 Pages: 321 - 329
Estimation of Kloosterman sums with primes and its application M. Z. Garaev OriginalPaper 09 November 2010 Pages: 330 - 337
Higher moments of the error term in the divisor problem A. IvićW. Zhai OriginalPaper 09 November 2010 Pages: 338 - 346
New estimates of short Kloosterman sums A. A. Karatsuba OriginalPaper 09 November 2010 Pages: 347 - 359
Linear twists of L-functions of degree 2 from the Selberg class J. KaczorowskiA. Perelli OriginalPaper 09 November 2010 Pages: 360 - 364
On the joint universality of Lerch zeta functions A. Laurinčikas OriginalPaper 09 November 2010 Pages: 386 - 394
Number theory, dimension theory, and the crisis of overproduction V. P. Maslov OriginalPaper 09 November 2010 Pages: 402 - 413
Jacob’s ladders and the almost exact asymptotic representation of the Hardy-Littlewood integral J. Moser OriginalPaper 09 November 2010 Pages: 414 - 422
On the zeros on the critical line of L-functions corresponding to automorphic cusp forms I. S. Rezvyakova OriginalPaper 09 November 2010 Pages: 423 - 439
Reducing character sums to Kloosterman sums J. B. FriedlanderH. Iwaniec OriginalPaper 09 November 2010 Pages: 440 - 443
Benford’s law and distribution functions of sequences in (0, 1) V. BalážK. NagasakaO. Strauch OriginalPaper 09 November 2010 Pages: 449 - 463
The L p -L q analog of Morgan’s theorem on exponential solvable Lie groups F. AbdelmoulaA. Baklouti OriginalPaper 09 November 2010 Pages: 464 - 478
Proof of the Faugère criterion for the F5 algorithm O. N. German OriginalPaper 09 November 2010 Pages: 479 - 486
On algebraic identities between generalized hypergeometric functions V. A. Gorelov OriginalPaper 09 November 2010 Pages: 487 - 491
Estimates of character sums in finite fields S. V. Konyagin OriginalPaper 09 November 2010 Pages: 503 - 515
Estimates in number theory and phase transition to the superfluid state for He3 and He4 V. P. Maslov OriginalPaper 09 November 2010 Pages: 516 - 523
Alternatives to the Euler-Maclaurin formula for calculating infinite sums Yu. V. Matiyasevich OriginalPaper 09 November 2010 Pages: 524 - 529
On the irrationality exponent of the number ln 2 Yu. V. Nesterenko OriginalPaper 09 November 2010 Pages: 530 - 543
Two modularity lifting conjectures for families of Siegel modular forms A. A. Panchishkin OriginalPaper 09 November 2010 Pages: 544 - 551
Existence of the Kähler-Einstein metric on certain Fano complete intersections A. V. Pukhlikov OriginalPaper 09 November 2010 Pages: 552 - 558
Banach spaces without approximation properties of type p O. ReinovQ. Latif OriginalPaper 09 November 2010 Pages: 559 - 562
On the measure of irrationality of the number π V. Kh. Salikhov OriginalPaper 09 November 2010 Pages: 563 - 573
The mean number of steps in the Euclidean algorithm with odd partial quotients A. V. Ustinov OriginalPaper 09 November 2010 Pages: 574 - 584
Character sums over shifted primes J. B. FriedlanderK. GongI. E. Shparlinskii OriginalPaper 09 November 2010 Pages: 585 - 598
A supercongruence motivated by the Legendre family of elliptic curves Heng Huat ChanLing LongV. V. Zudilin OriginalPaper 09 November 2010 Pages: 599 - 602
On monochromatic solutions of some nonlinear equations in ℤ/pℤ I. D. Shkredov OriginalPaper 09 November 2010 Pages: 603 - 611
The mellin transform of Hardy’s function is entire M. Jutila OriginalPaper 09 November 2010 Pages: 612 - 616