On some entire modular forms of an integral weight for the congruence subgroup .
On some entire modular forms of weights 5 and 6 for the congruence group .
On some entire modular forms of weights and for the congruence group .
On some equalities for the Weierstrass modular units of level p
On some equations over finite fields
In this paper, following L. Carlitz we consider some special equations of variables over the finite field of elements. We obtain explicit formulas for the number of solutions of these equations, under a certain restriction on and .
On some estimates in the theory of ζ(8,χ) - functions
On some estimates involving the number of prime divisors of an integer
On some expansions of p-adic functions
On some exponential sums involving divisor functions.
On some exponential sums related to Kloosterman sums
On some expressions associated with Fermat's last theorem.
On some extensions of Jordan's arithmetic functions.
On some Extremal Problems of Landau
2000 Mathematics Subject Classification: Primary: 42A05. Secondary: 42A82, 11N05.The prime number theorem with error term presents itself as &pi'(x) = ∫2x [dt/ logt] + O ( x e- K logL x). In 1909, Edmund Landau provided a systematic analysis of the proof seeking better values of L and K. At a key point of his 1899 proof de la Vallée Poussin made use of the nonnegative trigonometric polynomial 2/3 (1+cos x)2 = 1+4/3 cosx +1/3 cos2x. Landau considered more general positive definite nonnegative...
On some Formulas Involving !n and the Verification of the !n-hypothesis by use of Computers
On some general problems in the theory of partitions, I
On some generalizations of the diophantine equation
On some generalizations of the diophantine equation
On Some Hasse Principles over Formally Real Fields.
On some identities for the Fibonomial coefficients
On some imaginary triquadratic number fields with or
Let be a square free integer and . In the present work we determine all the fields such that the -class group, , of is of type or .