The Divisor Function in Arithmetic Progressions to Smooth Moduli

DOI10.1093/imrn/rnu149zbMath1391.11134arXiv1403.8031OpenAlexW2015572617MaRDI QIDQ3450451

Alastair. J. Irving

Publication date: 5 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.8031

zbMATH Keywords

Kloosterman sumdivisor functionvan der Corput's method

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (9)

TERNARY DIVISOR FUNCTIONS IN ARITHMETIC PROGRESSIONS TO SMOOTH MODULI ⋮ Divisor problem in arithmetic progressions modulo a prime power ⋮ Limitations to equidistribution in arithmetic progressions ⋮ On algebraic twists with composite moduli ⋮ Lectures on applied ℓ-adic cohomology ⋮ Squarefree Integers in Arithmetic Progressions to Smooth Moduli ⋮ Kloosterman paths and the shape of exponential sums ⋮ Arithmetic exponent pairs for algebraic trace functions and applications ⋮ Exponential sums with reducible polynomials

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