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Zeilberger
Zeilberger ( he, ציילברגר) may refer to: * Doron Zeilberger (born 1950), an Israeli mathematician ** Wilf–Zeilberger pair In mathematics, specifically combinatorics, a Wilf–Zeilberger pair, or WZ pair, is a pair of functions that can be used to certify certain combinatorial identities. ... ** Zeilberger-Bressoud theorem * Johann Zeilberger (1831–1881), Austrian politician * Rabbi Binyamin Zeilberger {{surname, Zeilberger, Tsaylberger German-language surnames Jewish surnames Yiddish-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doron Zeilberger
Doron Zeilberger (דורון ציילברגר, born 2 July 1950 in Haifa, Israel) is an Israeli mathematician, known for his work in combinatorics. Education and career He received his doctorate from the Weizmann Institute of Science in 1976, under the direction of Harry Dym, with the thesis "New Approaches and Results in the Theory of Discrete Analytic Functions." He is a Board of Governors Professor of Mathematics at Rutgers University. Contributions Zeilberger has made contributions to combinatorics, hypergeometric identities, and q-series. Zeilberger gave the first proof of the alternating sign matrix conjecture, noteworthy not only for its mathematical content, but also for the fact that Zeilberger recruited nearly a hundred volunteer checkers to "pre-referee" the paper. In 2011, together with Manuel Kauers and Christoph Koutschan, Zeilberger proved the ''q''-TSPP conjecture, which was independently stated in 1983 by George Andrews and David P. Robbins. Zeilberger is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binyamin Zeilberger
Rabbi Binyamin Zeilberger (sometimes pronounced ''Tzahlberger''; he, רב בנימין צלברגר/ציילברגר) was the rosh yeshiva of Beth Hatalmud Rabbinical College in the second half of the twentieth century. He was an alumnus of the Mir Yeshiva in Europe. Early life Zeilberger was born in Koenigshaufen, Germany on March 14, 1921, to Yehuda (Julius) and Chana (Johanna) Zeilberger. In 1935 he enrolled in the Mir Yeshiva in what is now Belarus, where he shared a room in a boarding house with Aryeh Leib Malin, Yonah Minsker, and Michel Feinstein. When World War II broke out in 1939 the Mir Yeshiva (and many other yeshivas in Poland) fled to Lithuania. Zeilberger remained with the yeshiva when it moved to Japan in 1941, then to Shanghai, and then in 1947 to the United States where it was reëstablished in Brooklyn. Zeilberger married Sara Rochel Kaplan. Beth Hatalmud Rabbinical College Zeilberger soon joined the Beth Hatalmud Rabbinical College in Bensonhurs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dyson Conjecture
In mathematics, the Dyson conjecture is a conjecture about the constant term of certain Laurent polynomials, proved independently in 1962 by Kenneth G. Wilson, Wilson and Gunson. George Andrews (mathematician), Andrews generalized it to the q-Dyson conjecture, proved by Doron Zeilberger, Zeilberger and David Bressoud, Bressoud and sometimes called the Zeilberger–Bressoud theorem. Ian G. Macdonald, Macdonald generalized it further to more general root systems with the Macdonald constant term conjecture, proved by Ivan Cherednik, Cherednik. Dyson conjecture The Dyson conjecture states that the Laurent polynomial :\prod _(1-t_i/t_j)^ has constant term :\frac. The conjecture was first proved independently by and . later found a short proof, by observing that the Laurent polynomials, and therefore their constant terms, satisfy the recursion relations :F(a_1,\dots,a_n) = \sum_^nF(a_1,\dots,a_i-1,\dots,a_n). The case ''n'' = 3 of Dyson's conjecture follows from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wilf–Zeilberger Pair
In mathematics, specifically combinatorics, a Wilf–Zeilberger pair, or WZ pair, is a pair of functions that can be used to certify certain combinatorial identities. WZ pairs are named after Herbert S. Wilf and Doron Zeilberger, and are instrumental in the evaluation of many sums involving binomial coefficients, factorials, and in general any hypergeometric series. A function's WZ counterpart may be used to find an equivalent and much simpler sum. Although finding WZ pairs by hand is impractical in most cases, Gosper's algorithm provides a sure method to find a function's WZ counterpart, and can be implemented in a symbolic manipulation program. Definition Two functions ''F'' and ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johann Zeilberger
Johann, typically a male given name, is the German form of ''Iohannes'', which is the Latin form of the Greek name ''Iōánnēs'' (), itself derived from Hebrew name ''Yochanan'' () in turn from its extended form (), meaning "Yahweh is Gracious" or "Yahweh is Merciful". Its English language equivalent is John. It is uncommon as a surname. People People with the name Johann include: Mononym *Johann, Count of Cleves (died 1368), nobleman of the Holy Roman Empire *Johann, Count of Leiningen-Dagsburg-Falkenburg (1662–1698), German nobleman *Johann, Prince of Hohenzollern-Sigmaringen (1578–1638), German nobleman A–K * Johann Adam Hiller (1728–1804), German composer * Johann Adam Reincken (1643–1722), Dutch/German organist * Johann Adam Remele (died 1740), German court painter * Johann Adolf I, Duke of Saxe-Weissenfels (1649–1697) * Johann Adolph Hasse (1699-1783), German Composer * Johann Altfuldisch (1911—1947), German Nazi SS concentration camp officer executed for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
German-language Surnames
German ( ) is a West Germanic language mainly spoken in Central Europe. It is the most widely spoken and official or co-official language in Germany, Austria, Switzerland, Liechtenstein, and the Italian province of South Tyrol. It is also a co-official language of Luxembourg and Belgium, as well as a national language in Namibia. Outside Germany, it is also spoken by German communities in France (Bas-Rhin), Czech Republic (North Bohemia), Poland (Upper Silesia), Slovakia (Bratislava Region), and Hungary (Sopron). German is most similar to other languages within the West Germanic language branch, including Afrikaans, Dutch, English, the Frisian languages, Low German, Luxembourgish, Scots, and Yiddish. It also contains close similarities in vocabulary to some languages in the North Germanic group, such as Danish, Norwegian, and Swedish. German is the second most widely spoken Germanic language after English, which is also a West Germanic language. German is one of the major ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jewish Surnames
Jewish surnames are family names used by Jews and those of Jewish origin. Jewish surnames are thought to be of comparatively recent origin; the first known Jewish family names date to the Middle Ages, in the 10th and 11th centuries CE. Jews have some of the largest varieties of surnames among any ethnic group, owing to the geographically diverse Jewish diaspora, as well as cultural assimilation and the recent trend toward Hebraization of surnames. Some traditional surnames relate to Jewish history or roles within the religion, such as Cohen ("priest"), Levi, Shulman ("synagogue-man"), Sofer ("scribe"), or Kantor ("cantor"), while many others relate to a secular occupation or place names. The majority of Jewish surnames used today developed in the past three hundred years. History Historically, Jews used Hebrew patronymic names. In the Jewish patronymic system the first name is followed by either ''ben-'' or ''bat-'' ("son of" and "daughter of," respectively), and then the f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
