Partial sums of typical multiplicative functions over short moving intervals
DOI10.2140/ant.2024.18.389arXiv2207.11758OpenAlexW4391567092MaRDI QIDQ6154495
Mayank Pandey, Victor Y. Wang, Max Wenqiang Xu
Publication date: 15 February 2024
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.11758
paucityGaussian behaviorrandom multiplicative functionmultiplicative Diophantine equationscorrelations of divisor functionsshort moving intervals
Asymptotic results on arithmetic functions (11N37) Counting solutions of Diophantine equations (11D45) Congruences in many variables (11D79) Arithmetic functions in probabilistic number theory (11K65) Multiplicative and norm form equations (11D57)
Cites Work
- Unnamed Item
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- Upper bounds for sums of powers of divisor functions
- Bounds for automorphic \(L\)-functions
- Multiplicative congruences with variables from short intervals
- Moments of random multiplicative functions. II: High moments
- Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges
- Large character sums
- A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions
- Nair–Tenenbaum bounds uniform with respect to the discriminant
- Moments of Random Multiplicative Functions and Truncated Characteristic Polynomials
- Random Multiplicative Functions in Short Intervals
- On some topics connected with Waring's problem.
- A new form of the circle method, and its application to quadratic forms.
- On a New Technique and Its Applications to the Theory of Numbers
- A Brun-Titschmarsh theorem for multiplicative functions.
- Manin's conjecture for toric varieties
- MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS
- Counting points on a toric variety
- Moments of polynomials with random multiplicative coefficients
- On the random Chowla conjecture
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