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In mathematics, van der Corput's method generates estimates for exponential sums. The method applies two processes, the van der Corput processes A and
Van_der_Corput's_method
Dutch mathematician (1890–1975)
in Oslo. van der Corput inequality van der Corput lemma (harmonic analysis) van der Corput's method van der Corput sequence van der Corput's theorem "Johannes
Johannes_van_der_Corput
Mathematical conjecture on the Riemann zeta function
Göttingen, math.-phys. Klasse: 155–158. Titchmarsh, E. C. (1932). "On van der Corput's method and the zeta-function of Riemann (III)". The Quarterly Journal
Lindelöf_hypothesis
Type of number sequence
distributed modulo 1. This was proven by Weyl and is an application of van der Corput's difference theorem. The sequence log(n) is not uniformly distributed
Equidistributed_sequence
Finite sum formed using the exponential function
phase" method to calculate the integral and give an approximate evaluation of the sum. Major advances in the subject were Van der Corput's method (c. 1920)
Exponential_sum
harmonic analysis, the van der Corput lemma is an estimate for oscillatory integrals named after the Dutch mathematician J. G. van der Corput. The following result
Van der Corput lemma (harmonic analysis)
Van_der_Corput_lemma_(harmonic_analysis)
Type of numeric sequence used in statistics
generalize the one-dimensional van der Corput sequences. The Halton sequence is constructed according to a deterministic method that uses coprime numbers as
Halton_sequence
Type of mathematical sequence
below are the van der Corput sequence, the Halton sequences, and the Sobol’ sequences. One general limitation is that construction methods can usually only
Low-discrepancy_sequence
17th-century conjecture proved by Andrew Wiles in 1994
(1909), Rychlík (1910), Stockhaus (1910), Carmichael (1915), Johannes van der Corput (1915), Axel Thue (1917), and Duarte (1944). The case p = 5 was proved
Fermat's_Last_Theorem
Dutch statesman (1625–1672)
cities of the dominating province of Holland. De Witt's mother was Anna van den Corput (1599–1645), niece of Johannes Corputius, an influential Dutch military
Johan_de_Witt
Even integers as sums of two primes
5 is the sum of three primes. Using Vinogradov's method, Nikolai Chudakov, Johannes van der Corput, and Theodor Estermann showed (1937–1938) that almost
Goldbach's_conjecture
Summatory function of the divisor-counting function
J. van der Corput improved Dirichlet's bound to inf θ ≤ 33 / 100 = 0.33 {\displaystyle \inf \theta \leq 33/100=0.33} . In 1928, van der Corput proved
Divisor_summatory_function
Partial results found before the complete proof
Lamé, Tait, Günther, Gambioli, Krey, Rychlik, Stockhaus, Carmichael, van der Corput, Thue, and Duarte. As Fermat did for the case n = 4, Euler used the
Proof of Fermat's Last Theorem for specific exponents
Proof_of_Fermat's_Last_Theorem_for_specific_exponents
British mathematician (1925–2015)
Pavlovna Ehrenfest. Despite the prior work of Ehrenfest and Johannes van der Corput on the same problem, Roth was known for boasting that this result "started
Klaus_Roth
Type of distribution in mathematical analysis
quotations related to Oscillatory integral. Riemann–Lebesgue lemma van der Corput lemma Oscillatory integral operator Hörmander, Lars (1983), The Analysis
Oscillatory_integral
Permutation that reverses binary numbers
also been used to devise lower bounds in distributed computation. The Van der Corput sequence, a low-discrepancy sequence of numbers in the unit interval
Bit-reversal_permutation
Dutch research institute
Mathematics (ERCIM). The institute was founded in 1946 by Johannes van der Corput, David van Dantzig, Jurjen Koksma, Hendrik Anthony Kramers, Marcel Minnaert
Centrum Wiskunde & Informatica
Centrum_Wiskunde_&_Informatica
schildersboek: Nederlandsche schilders der negentiende eeuw, vol. 3. Stijn Streuvels, Lenteleven Édouard van den Corput, Utilité des embellissements de Bruxelles:
1899_in_Belgium
theorem (real analysis) Szegő limit theorems (mathematical analysis) van der Corput's lemma (harmonic analysis) Wiener's tauberian theorem (real analysis)
List_of_theorems
Number of integers coprime to and less than n
M. Vinogradov and N. M. Korobov. By a combination of van der Corput's and Vinogradov's methods, H.-Q. Liu (On Euler's function.Proc. Roy. Soc. Edinburgh
Euler's_totient_function
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