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Subjects
11-XX Number theory
11Lxx Exponential sums and character sums
11L03 Trigonometric and exponential sums, general

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New formulations of the class number one problem

A. Mallik (1981)

Acta Arithmetica

Newton polyhedra and the degree of the L-function associated to an exponential sum.

A. Adolphson, S. Sperber (1987)

Inventiones mathematicae

Nombres presque premiers et sommes trigonométriques

Jean-Marc Deshouillers (1970/1971)

Séminaire de théorie des nombres de Bordeaux

Nonlinear exponential twists of the Liouville function

Qingfeng Sun (2011)

Open Mathematics

Let λ(n) be the Liouville function. We find a nontrivial upper bound for the sum $\sum_{X ⩽ n ⩽ 2 X} λ (n) e^{2 π i α \sqrt{n}}, 0 \neq α \in ℝ$ The main tool we use is Vaughan’s identity for λ(n).

Note on a Cubic Character Sum.

Kenneth S. Williams (1975)

Aequationes mathematicae

Currently displaying 1 – 5 of 5

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