Ivan Matveevič Vinogradov

Ivan Matveevič Vinogradov (in russo Иван Матвеевич Виноградов^?; Velikie Luki, 14 settembre 1891 – Mosca, 20 marzo 1983) è stato un matematico sovietico, uno dei creatori della moderna teoria analitica dei numeri.

Biografia

Si laureò all'Università di San Pietroburgo, della quale divenne professore nel 1920; a partire dal 1934 fu il primo direttore dell'Istituto di Matematica Steklov, posizione che tenne per il resto della vita, ad eccezione del periodo tra il 1941 e il 1946, quando fu sostituito da Sergej L'vovič Sobolev. Nella teoria analitica dei numeri il metodo di Vinogradov, da lui ideato, è una tecnica che si applica a molti problemi nel contesto della stima delle somme esponenziali. Rende possibile la riduzione di una sommatoria complicata di numeri primi in alcune sommatorie più semplici; nella sua forma canonica, espressa con la formula

S=\sum _{p\leq P}\exp(2\pi if(p))

è usata per stimare le somme di Weyl. In termini di tecniche posteriori, questo metodo è stata riconosciuto come il prototipo del crivello largo nella sua applicazione alle forme bilineari.

Con l'aiuto di questo metodo, Vinogradov affrontò diverse questioni, tra cui la congettura debole di Goldbach (con l'uso del teorema di Vinogradov) e lo studio della regione priva di zeri della funzione zeta di Riemann. In molti casi i suoi risultati resistettero per decenni ai raffinamenti. Usò questa tecnica anche nell'affrontare il problema divisore di Dirichlet (vedi anche Peter Dirichlet), permettendogli di stimare il numero di punti a coordinate intere sotto una curva arbitraria; questo fu un miglioramento delle ricerche di Georgij Feodos'evič Voronoj.

Nel campo dell'aritmetica modulare, inoltre, studiò la distribuzione dei residui quadratici e delle radici primitive.

Per i suoi lavori ricevette numerosi riconoscimenti: all'interno dell'Unione Sovietica gli fu riconosciuta la medaglia Lomonosov (il più alto riconoscimento scientifico sovietico) nel 1970, due volte fu proclamato Eroe dell'Unione Sovietica e cinque volte ricevette l'ordine di Lenin. Fu ammesso nella London Mathematical Society nel 1939 e nella Royal Society nel 1942. Vinogradov era anche un dirigente del Partito Comunista dell'Unione Sovietica, fatto non inusuale per un amministratore di un livello così alto.

Collegamenti esterni

Vinogradov, Ivan Matveevič, su Treccani.it – Enciclopedie on line, Istituto dell'Enciclopedia Italiana.
(EN) Ivan Matveyevich Vinogradov, su Enciclopedia Britannica, Encyclopædia Britannica, Inc.
(EN) Ivan Matveevič Vinogradov, su MacTutor, University of St Andrews, Scotland.
(EN) Ivan Matveevič Vinogradov, su Mathematics Genealogy Project, North Dakota State University.

Controllo di autorità	VIAF (EN) 108125355 · ISNI (EN) 0000 0001 0930 7197 · LCCN (EN) n50062008 · GND (DE) 118804693 · BNE (ES) XX994650 (data) · BNF (FR) cb12941312w (data) · J9U (EN, HE) 987007278330405171 · NSK (HR) 000161126 · NDL (EN, JA) 00527032 · CONOR.SI (SL) 89004387

Portale Biografie: accedi alle voci di Wikipedia che trattano di biografie

Read other articles:

Argentium

ArgentiumAlbum mini karya Melly GoeslawDirilisAgustus 2020GenrePopDurasi27 menitLabelIndependenProduserAnto HoedKronologi Melly Goeslaw Eiffel... I'm in Love 2 (2018)String Module Error: Match not found2018 Argentium (2020) Singel dalam album Argentium WaktuDirilis: 27 Agustus 2020 Argentium adalah album musik Melly Goeslaw yang dirilis secara digital pada 27 Agustus 2020. Perilisan album berisi tujuh buah lagu baru ini ditujukan untuk memperingati 25 tahun usia perkawinan dan karir Melly...

QOI (image format)

Image compression file format Quite OK ImageFilename extension .qoiMagic numberqoif (4 bytes, ASCII)Developed byDominic SzablewskiInitial release24 November 2021Latest release1.05 January 2022; 2 years ago (2022-01-05) Type of formatLossless bitmap image formatStandardSpecificationOpen format?YesFree format?YesWebsiteqoiformat.org The Quite OK Image Format (QOI) is a specification for lossless image compression of 24-bit (8 bits per color RGB) or 32-bit (8 bits per colo...

Tabla

Tabla Tabla (atau tabl, tabla) (Hindi: तबला, bahasa Marathi: तबला, bahasa Kannada: ತಬಲ, bahasa Telugu: తబల, Tamil: தபேலா, bahasa Bengali: তবলা, bahasa Nepali: तबला, bahasa Urdu: طبلہ, Arab: طبل، طبلةcode: ar is deprecated ) adalah Instrumen musik perkusi tradisional dan yang berasal dari India (dari keluarga membranofon). Alat musik ini dipakai dalam musik klasik Hindustan serta dalam musik popul...

OpenSees

Main article: Earthquake engineering Repositorygithub.com/OpenSees/OpenSees/Written inC++Operating systemLinux, Windows and Unix-likeLicensehttp://opensees.berkeley.edu/OpenSees/copyright.phpWebsiteopensees.berkeley.edu OpenSees (the Open System for Earthquake Engineering Simulation) is an object-oriented software framework created during the National Science Foundation-sponsored era (1997-2007) of the Pacific Earthquake Engineering Research (PEER) Center. OpenSees allows users to create fini...

2000 United States House of Representatives elections in Oklahoma

This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources.Find sources: 2000 United States House of Representatives elections in Oklahoma – news · newspapers · books · scholar · JSTOR (January 2022) 2000 United States House of Representatives elections in Oklahoma ← 1998 November 7, 2000 2002 → All ...

Xavier Henry

American basketball player (born 1991) Xavier HenryHenry with the Kansas Jayhawks in December 2009Personal informationBorn (1991-03-15) March 15, 1991 (age 33)Ghent, BelgiumNationalityAmericanListed height6 ft 6 in (1.98 m)Listed weight220 lb (100 kg)Career informationHigh schoolPutnam City(Oklahoma City, Oklahoma)CollegeKansas (2009–2010)NBA draft2010: 1st round, 12th overall pickSelected by the Memphis GrizzliesPlaying career2010–2017PositionShooting guard ...

Pedro Passos Coelho

Pedro Passos Coelho Perdana Menteri PortugalPetahanaMulai menjabat 23 Juni 2011PresidenAníbal Cavaco Silva PendahuluJosé SócratesPenggantiPetahanaPemimpin OposisiPetahanaMulai menjabat 26 Maret 2010 PendahuluManuela Ferreira LeitePenggantiPetahana Informasi pribadiLahir24 Juli 1964 (umur 59)Coimbra, PortugalPartai politikPartai Sosial DemokratSuami/istriFátima Padinha (Cerai)Laura FerreiraAnakJoanaCatarinaJúliaAlma materUniversitas LusíadaUniversitas LisbonProfesiEkonomSitu...

أنيس بوجلبان

أنيس بوجلبان معلومات شخصية الاسم الكامل أنيس أحمد بوجلبان الميلاد 6 فبراير 1978 (العمر 46 سنة)مدينة تونس الطول 1.72 م (5 قدم 7 1⁄2 بوصة) مركز اللعب لاعب وسط، وقلب الدفاع الجنسية تونس مسيرة الشباب سنوات فريق النادي الرياضي الصفاقسي المسيرة الاحترافية1 سنوات ف...

Page of the United States Senate

Student employee of the United States Senate This article is part of a series on theUnited States SenateGreat Seal of the United States Senate History of the United States Senate Members Current members (by seniorityby class) Former members Hill committees (DSCCNRSC) Women in the Senate United States Vice President (list) President pro tempore (list) Presiding officer Party leaders Party leadership ofthe United States Senate Democratic Caucus Republican Conference Politics and procedure Advic...

Mianserin

Antidepressant Not to be confused with ritanserin. MianserinClinical dataTrade namesTolvon, othersOther namesMianserin hydrochloride; Org GB 94[1][2]Pregnancycategory AU: B2 Routes ofadministrationBy mouthATC codeN06AX03 (WHO) Legal statusLegal status AU: S4 (Prescription only) BR: Class C1 (Other controlled substances)[3] UK: POM (Prescription only) Pharmacokinetic dataBioavailability20–30%[4]Protein binding95%[4]Metabol...

俄亥俄州

「俄亥俄」重定向至此。关于其他用法，请见「俄亥俄 (消歧义)」。俄亥俄州美國联邦州State of Ohio 州旗州徽綽號：七葉果之州地图中高亮部分为俄亥俄州坐标：38°27'N－41°58'N, 80°32'W－84°49'W国家美國加入聯邦1803年3月1日，在1953年8月7日追溯頒定（第17个加入联邦）首府哥倫布（及最大城市）政府 • 州长（英语：List of Governors of {{{Name}}}]]） •&...

UFC 67

UFC mixed martial arts event in 2007 UFC 67: All or NothingThe poster for UFC 67: All or NothingInformationPromotionUltimate Fighting ChampionshipDateFebruary 3, 2007VenueMandalay Bay Events CenterCityLas Vegas, NevadaAttendance10,227 (8,700 paid)[1]Total gate$2,767,130[2]Buyrate350,000[3]Total purse$803,000 (disclosed)[4]Event chronology UFC Fight Night: Evans vs Salmon UFC 67: All or Nothing UFC 68: The Uprising UFC 67: All or Nothing was a mixed martial arts...

Військово-музичне управління Збройних сил України

Військово-музичне управління Збройних сил України Тип військове формуванняЗасновано 1992Країна Україна Емблема управління Військово-музичне управління Збройних сил України — структурний підрозділ Генерального штабу Збройних сил України призначений для планува...

Mumi

, Mumi (sˁḥ) Hieroglif Mesir Mumi Llullaillaco dari Provinsi Salta Argentina Topeng kematian emas milik Pharaoh Tutankhamun Mumi adalah sebuah mayat yang diawetkan, dikarenakan perlindungan dari dekomposisi oleh cara alami atau buatan, sehingga bentuk awalnya tetap terjaga. Ini dapat dicapai dengan menaruh tubuh tersebut di tempat yang sangat kering atau sangat dingin, atau ketiadaan oksigen, atau penggunaan bahan kimiawi. Mumi paling terkenal adalah mumi yang dibalsam dengan tujuan penga...

Deià

Artikel ini perlu dikembangkan agar dapat memenuhi kriteria sebagai entri Wikipedia.Bantulah untuk mengembangkan artikel ini. Jika tidak dikembangkan, artikel ini akan dihapus. Letak Deià di Mallorca Deià merupakan nama kota di Spanyol. Letaknya di bagian timur. Tepatnya di Wilayah Otonomi Kepulauan Balearik, Mallorca, Spanyol. Pada tahun 2007, kota ini memiliki jumlah penduduk sebanyak 718 jiwa dan memiliki luas wilayah 15 km². lbsKotamadya di Kepulauan BalearsMallorca Alaró Alcúdi...

Kerucut depan

Kerucut depan Kerucut depan (Inggris: Nose cone) adalah bagian depan peluru, rudal, pesawat antariksa atau wahana antariksa.[1][2] Bagian ini dirancang untuk menahan suhu yang tinngi.[2] Kerucut depan harus mampu bertahan dalam kondisi operasional sewaktu peluncuran dan penerbangan, termasuk juga kondisi saat memasuki kembali atmosfer bumi.[1] Kerucut itu akan terhambat oleh tarikan apabila memasuki bagian atmosfer yang lebih padat dan energi kinetiknya terutam...

Samuel Bigger

American politician Samuel BiggerIndiana House of RepresentativesIn officeDecember 5, 1834 – December 4, 1835Indiana Circuit Court JudgeIn office1835–18407th Governor of IndianaIn officeDecember 9, 1840 – December 6, 1843LieutenantSamuel HallPreceded byDavid WallaceSucceeded byJames Whitcomb Personal detailsBornMarch 20, 1802Franklin, OhioDiedSeptember 9, 1846(1846-09-09) (aged 44)Fort Wayne, IndianaPolitical partyWhigSpouseEllen Williamson Samuel Bigger (Marc...

Juncus secundus

Species of plant Juncus secundus Inflorescence Scientific classification Kingdom: Plantae Clade: Tracheophytes Clade: Angiosperms Clade: Monocots Clade: Commelinids Order: Poales Family: Juncaceae Genus: Juncus Species: J. secundus Binomial name Juncus secundusP.Beauv. ex Poir. Synonyms[1] Juncus tenuis var. secundus (P.Beauv. ex Poir.) Engelm. Juncus secundus, the lopsided rush, one-sided rush, or second rush, is a species of flowering plant in the family Juncaceae, native to ea...

決勝時刻4：現代戰爭

关于2019年发售的同名副标题游戏，請見「使命召唤：现代战争 (2019年游戏)」。決勝時刻4：現代戰爭Call of Duty 4: Modern Warfare类型第一人稱射擊平台Mac OS X、Windows、PlayStation 3、Xbox 360、任天堂DS、Wii开发商Infinity WardAspyr（Mac移植）Treyarch（Wii移植）Raven Software（高清重制）发行商美国动视设计师基斯·阿雷姆美术Richard Kriegler 音乐哈利·葛瑞森-威廉斯系列決勝時...

بن علي يلدرم

بن علي يلدرم (بالتركية: Binali Yıldırım)‏ رئيس البرلمان التركي في المنصب12 يوليو 2018 – 19 فبراير 2019 الرئيس رجب طيب أردوغان إسماعيل كهرمان مصطفى شنطوب رئيس وزراء تركيا السابع والثلاثون في المنصب24 مايو 2016 – 9 يوليو 2018 الرئيس رجب طيب أردوغان النائب نور الدين جانكليمحمد...