Zobrazeno 1 - 10
of 16
pro vyhledávání: '"NIGEL WATT"'
Publikováno v:
Acta Arithmetica; 2024, Vol. 216 Issue 4, p291-327, 37p
Autor:
Nigel Watt
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 31:653-662
Autor:
Martin Huxley, Nigel Watt
Publikováno v:
Chebyshevskii sbornik. 19:20-34
Autor:
Jean Bourgain, Nigel Watt
Publikováno v:
International Mathematics Research Notices. 2018:5219-5296
Publikováno v:
Meteoritics & Planetary Science. 46:1025-1032
Impact events are a significant surface-modifying process on solar system objects lacking frequent resurfacing by atmospheric or igneous processes. To better explore the effects of impacts on surface materials, we measured the water and trace element
Autor:
Nigel Watt
Publikováno v:
International Journal of Number Theory. :249-293
We obtain new upper bounds for the mean squared modulus of sums ∑n∈ℕAnχ(n), where the sequence (An) is fixed and the variable χ belongs to the set of non-principal Dirichlet characters for some modulus q. It is assumed that, for some M, some
Publikováno v:
The Quarterly Journal of Mathematics. 55:307-324
Autor:
Nigel Watt
Publikováno v:
Acta Arithmetica. 111:307-403
Autor:
Nigel Watt
Publikováno v:
Monatshefte f�r Mathematik. 141:45-81
For X,Y,Δ>0, let and define I8(X,Y,Δ) to be the cardinality of the set. In this paper it is shown that, for e>0, Y2/X3 = O(Δ), Δ = O(Y3/X3) and X = O (Y2), one has I8(X,Y,Δ) = O(X2Y2 + Xe min (X{3/2}Y3, Δ X{11/2}Y{−1}) + Xe min (Δ{1/3}X2Y3,
Autor:
Martin Neil Huxley, Nigel Watt
Publikováno v:
Israel Journal of Mathematics. 120:125-153
The asymptotic formula for the number of integral ideals in a quadratic field with norm up to N contains the Gauss circle problem as a special case, when the conductor r is 4. We obtain estimates for the remainder term with similar growth in r and N.