A new look at Brun's sieve
A new lower bound for
We prove that, for all integers exceeding some effectively computable number , the distance from to the nearest integer is greater than .
A new lower bound for the de Bruijn-Newman constant.
A new method in the elementary theory of primes
A new method of estimation of trigonometrical sums.
A new method to obtain series for and .
A new modulo computation algorithm
A new moment problem of distribution functions in the unit interval
A new multiple Dirichlet series induced by a higher-order form
A new necessary condition for moduli of non-natural irreducible disjoint covering system.
A new proof of the reciprocity theorem for Dedekind sums.
A new -analogue of Bernoulli polynomials associated with -adic -integrals.
A new record for the canonical height on an elliptic curve over .
A new solution to the equation .
A new sphere packing in 20 dimensions.
A new statistic on linear and circular -mino arrangements.
A new upper bound for finite additive bases
A new upper bound for Waring's problem (mod p)
A new upper bound on the star discrepancy of -sequences.
A new way to get Euler products.