An introduction to the circle method of Hardy, Littlewood, and Ramanujan
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Publication:2050714
DOI10.1007/s12220-020-00579-9zbMath1496.11128OpenAlexW3125348387MaRDI QIDQ2050714
Publication date: 31 August 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-020-00579-9
Sums of squares and representations by other particular quadratic forms (11E25) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Research exposition (monographs, survey articles) pertaining to number theory (11-02)
Cites Work
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- Representations of integers as sums of squares
- Pointwise ergodic theorem along the prime numbers
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- On the maximal ergodic theorem for certain subsets of the integers
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Schrödinger equation and oscillatory Hilbert transforms of second degree
- Discrete analogues in harmonic analysis: spherical averages
- Two discrete fractional integral operators revisited
- An endpoint estimate for the discrete spherical maximal function
- On the minima of the absolute value of certain random exponential sums
- ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS
- Diophantine equations and ergodic theorems
- Discrete analogues in harmonic analysis, I: l 2[superscript estimates for singular radon transforms]
- Discrete analogues of singular Radon transforms
- On the Representations of a Number as the Sum of Three Squares
- Two discrete fractional integrals
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