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Remarks on the Pólya–Vinogradov Inequality
Veröffentlicht/Copyright:
4. August 2011
Abstract
We establish a numerically explicit version of the Pólya–Vinogradov inequality for the sum of values of a Dirichlet character on an interval. While the technique of proof is essentially that of Landau from 1918, the result we obtain has better constants than in other numerically explicit versions that have been found more recently.
Received: 2010-01-25
Accepted: 2010-07-10
Published Online: 2011-08-04
Published in Print: 2011-August
© de Gruyter 2011
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- The Number of Solutions of λ(x) = n
- Monochromatic Sums Equal to Products in ℕ
- On the Sum of Reciprocal Generalized Fibonacci Numbers
- Recursively Self-Conjugate Partitions
- Modular Hyperbolas and the Coefficients of (x–1 + 6 + x)k
- Algebraic Proof for the Geometric Structure of Sumsets
- An Erdős–Fuchs Type Theorem for Finite Groups
- Coincidences of Catalan and q-Catalan Numbers
- Phase Transitions in Infinitely Generated Groups, and Related Problems in Additive Number Theory
- Perfect Numbers with Identical Digits
- Remarks on the Pólya–Vinogradov Inequality
- Heights of Divisors of xn – 1
- Bernoulli Numbers and Generalized Factorial Sums
- Witten Volume Formulas for Semi-Simple Lie Algebras
Artikel in diesem Heft
- The Number of Solutions of λ(x) = n
- Monochromatic Sums Equal to Products in ℕ
- On the Sum of Reciprocal Generalized Fibonacci Numbers
- Recursively Self-Conjugate Partitions
- Modular Hyperbolas and the Coefficients of (x–1 + 6 + x)k
- Algebraic Proof for the Geometric Structure of Sumsets
- An Erdős–Fuchs Type Theorem for Finite Groups
- Coincidences of Catalan and q-Catalan Numbers
- Phase Transitions in Infinitely Generated Groups, and Related Problems in Additive Number Theory
- Perfect Numbers with Identical Digits
- Remarks on the Pólya–Vinogradov Inequality
- Heights of Divisors of xn – 1
- Bernoulli Numbers and Generalized Factorial Sums
- Witten Volume Formulas for Semi-Simple Lie Algebras
