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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
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
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
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
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
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
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
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
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
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
schildersboek: Nederlandsche schilders der negentiende eeuw, vol. 3. Stijn Streuvels, Lenteleven Édouard van den Corput, Utilité des embellissements de Bruxelles:
1899_in_Belgium
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
theorem (real analysis) Szegő limit theorems (mathematical analysis) van der Corput's lemma (harmonic analysis) Wiener's tauberian theorem (real analysis)
List_of_theorems
VAN DER-CORPUTS-METHOD
VAN DER-CORPUTS-METHOD
Surname or Lastname
Vietnamese
Vietnamese : unexplained.Dutch (De Van) : metonymic occupational name for a winnower or a maker of winnowing fans, from Middle Dutch van(ne) ‘fan’.English : Western English variant of Fann.Czech (Vaň) : from a pet form of the personal name Václav, Old Czech Vęceslav (see Vacek).Ukrainian : from a short form of the personal name Ivan, Slavic form of John.
Boy/Male
German American
The prefex 'Von' is equivalent of 'Van' in Dutch names and of 'de' in French names.
Female
English
Pet form of English Adela, DEL means "noble." Also used as a short form of other longer names beginning with Del-.
Male
Hebrew
(בַּר) Hebrew name DAR means both "mother-of-pearl" and "marble."
Male
Scandinavian
Scandinavian form of Latin Petrus, PER means "rock, stone."
Male
Turkish
Turkish name GÖKER means "man of the sky."
Boy/Male
American, Australian, British, English
Short Form of Name Starting with Des
Boy/Male
British, English
Abbreviation of Names Beginning with Jer
Boy/Male
German
Ruler; Form of Derek
Girl/Female
Dutch
Of. The Dutch equivalent of 'de' in French names. Some early immigrants to America who dropped...
Female
English
Short form of English Deborah, DEB means "bee."
Boy/Male
Dutch American
Equivalent of 'de' in French names. Van was sometimes converted from a surname prefix to a given...
Boy/Male
American, Armenian, British, Christian, Dutch, English, Hindu, Indian, Scandinavian, Tamil, Vietnamese
Traditional Middle Name to Indicate a Boy; Forest; From the Family of; Lives by a Marsh; Cloud; Knowledge
Boy/Male
Australian, British, English, Latin
Woman Dyer; Right-handed
Male
Portuguese
Variant spelling of Portuguese Hélder, ÉLDER means "slanting surface."
Male
English
English unisex short form of longer names beginning with the letter "D." In some cases, it may be of Scottish origin, associated with the River Dee, possibly DEE means "dark water." Compare with strictly feminine Dee.
Girl/Female
English
A masculine or feminine name beginning with Del.
Boy/Male
American, Australian, British, English, French, Latin
Proud Friend; Short for Names Beginning with Del
Boy/Male
African, Greek, Hindu, Indian, Italian
Dev
Male
English
 Short form of English Vance, VAN means "lives by a fen/marsh."
VAN DER-CORPUTS-METHOD
VAN DER-CORPUTS-METHOD
Boy/Male
Indian
Part of God
Male
Swiss
, resolute helmet.
Girl/Female
Hindu, Indian
One of Devi's Names; Name of a Goddess
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Air
Boy/Male
Hindu, Indian, Marathi
Excellence; Superiority
Boy/Male
Tamil
Surname or Lastname
English
English : habitational name from Great or Little Walsingham in Norfolk, named in Old English as ‘homestead (Old English tūn) of the family or followers of a man called Waels’.
Girl/Female
American, English, Gujarati, Hindu, Indian, Japanese, Kannada, Malayalam, Marathi, Modern, Telugu, Traditional
A Natural; Graceful Strength; Bright; Clear; Dawn; Anchor
Boy/Male
American, Anglo, Australian, British, English, Jamaican
From the Lake Meadow; From the Meadow Near the Lake; Marshy Meadow
Girl/Female
Indian
Life
VAN DER-CORPUTS-METHOD
VAN DER-CORPUTS-METHOD
VAN DER-CORPUTS-METHOD
VAN DER-CORPUTS-METHOD
VAN DER-CORPUTS-METHOD
prep.
Through; by means of; through the agency of; by; for; for each; as, per annum; per capita, by heads, or according to individuals; per curiam, by the court; per se, by itself, of itself. Per is also sometimes used with English words.
v. i.
To live in, or as in, a den.
v. t.
To wet with dew or as with dew; to bedew; to moisten; as with dew.
n.
The great band commissural fibers which unites the two cerebral hemispheres. See corpus callosum, under Carpus.
superl.
Marked by scarcity or dearth, and exorbitance of price; as, a dear year.
p. pr. & vb. n.
of Compute
imp. & p. p.
of Compute
n.
The corpus striatum.
v. t.
To fan, or to cleanse by fanning; to winnow.
pron. & a.
The form of the objective and the possessive case of the personal pronoun she; as, I saw her with her purse out.
n.
A fan or other contrivance, as a sieve, for winnowing grain.
n.
A dear one; lover; sweetheart.
pl.
of Corpus
pl.
of Corpus
n. sing. & pl.
A body of men; esp., an organized division of the military establishment; as, the marine corps; the corps of topographical engineers; specifically, an army corps.
pl.
of Corpus
pl.
of Corpus
a.
Major; in the major mode; as, C dur, that is, C major.