Aleksandar Ivić

Aleksandar Ivić was born in Belgrade to two renowned linguists, the academician Pavle Ivić (1924–1999){{cite web |language=sr |publisher=Српска академија наука и уметности, САНУ (Serbian Academy of Sciences and Arts, SANU) |title=Pavle Ivić |url=https://www.sanu.ac.rs/en/ivic-pavle |website=sanu.ac.rs}} (in English) and the academician Milka Ivić (1923–2011).{{cite web |language=sr |publisher=Српска академија наука и уметности, САНУ (Serbian Academy of Sciences and Arts, SANU) |title=Milka Ivić |url=https://www.sanu.ac.rs/en/ivic-milka |website=sanu.ac.rs}} (in English) His paternal grandfather was the historian Aleksa Ivić (1881–1948) and his maternal great-grandfather was the poet Vojislav Ilić (1862–1894), the son of the writer and minister of justice Jovan Ilić (1824–1901).

In 1967, Aleksandar Ivić successfully participated in the International Mathematical Olympiad.{{cite web |publisher=Site of the Serbian Academy of Sciences and Arts |title=International Mathematical Olympiad - Yugoslavia - 1967 |url=https://www.imo-official.org/team_r.aspx?code=YUG&year=1967 |website=sanu.ac.rs}} He graduated in 1971 from the University of Novi Sad with a bachelor's degree in science. As a graduate student in Faculty of Sciences of the University of Belgrade, he graduated with a master's degree in 1973 and a doctorate in 1975. His doctoral dissertation O nekim klasama aritmetičkih funkcija koje su vezane za raspodelu prostih brojeva (On certain classes of arithmetic functions linked to the distribution of prime numbers) was supervised by Đuro Kurepa.{{MathGenealogy|name=Aleksandar Ivić |id=53911}} After working as an assistant from 1971 to 1976 at the Faculty of Science and Mathematics at the Faculty of Science and Mathematics at the University of Novi Sad, Ivić was appointed as assistant professor at the Faculty of Mining and Geology at the University of Belgrade in the Department of Applied Mathematics. There he was an assistant professor from 1976 to 1982, an associate professor from 1982 to 1988, and a full professor from 1988 to 2014, when he retired as professor emeritus.

Ivić was a member of the Mathematical Institute of the Serbian Academy of Sciences and Arts (SANU) and served on the editorial boards of several international journals. He was a plenary lecturer at several international scientific conferences. He was a visiting professor at several universities around the world in Japan, China, Brazil, Finland, and elsewhere. He was recognized as one of the world's leading experts on analytic number theory related to the Riemann hypothesis and the Lindelöf hypothesis.{{cite book|url=https://books.google.com/books?id=IFIc07eswukC&pg=PA227 |page=227 |title=The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics | isbn=978-0-374-25007-2 | last1=Sabbagh | first1=Karl | date=2003 | publisher=Macmillan }}

The bibliography of articles authored or coauthored by Ivić contains 231 titles.{{cite web |language=en, sr |title=Aleksandar Ivić - Bibliografija |url=https://www.sanu.ac.rs/wp-content/uploads/2019/02/aleksandar-ivic-bibliografija.pdf |website=Serbian Academy of Sciences and Arts (sanu.ac.rs)}} He was elected in 1988 a corresponding member in 1988 and in 2000 a regular member of the Serbian Academy of Sciences and Arts (SANU).

His Erdős number is 1, as he published papers with him in 1980 and 1986.{{sfn|Ivić|Erdős|1980}}{{sfn|Erdős|Ivić|Pomerance|1986}}

Aleksander Ivić married Milika Avramov in 1976. They divorced in 1990. From his first marriage, he became the father of two daughters, Natalija (born 1980) and Emilija (born 1984). His second marriage was to Sanda Rašković Ivić, whom he married in 1996. They became the parents of a daughter and two sons. Their younger son Jovan (1997–2022) committed suicide.{{cite news |title=Sin političarke Sande Rašković Ivić nađen mrtav (Son of politician Sanda Rašković Ivić found dead)|url=https://www.blic.rs/vesti/hronika/sin-politicarke-sande-raskovic-ivic-nadjen-mrtav-skocio-kroz-prozor-sa-kablovima/w15jg8t |newspaper=Blic |date=January 20, 2022}}

Ivić died in Belgrade.

• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = An asymptotic formula for elements of a semigroup of integers|journal = Matematički Vesnik|volume = 10(25)|issue=57|location = Belgrade|year = 1973|pages = 255–257 |url=http://eudml.org/doc/259272}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = An application of Dirichlet series to certain arithmetical functions|journal = Mathematica Balkanica|volume = 3|year = 1973|pages = 158–165}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = On certain functions that generalize von Mangoldt's function $\backslash Lambda(n)$|journal = Matematički Vesnik|volume = 12(27)|issue=60|location = Belgrade|year = 1975|pages = 361–366|url=https://eudml.org/doc/259706}}
• {{cite journal|first2=Aleksandar|last2 = Ivić|first1 = Jean-Marie|last1= De Koninck|author-link1 = Jean-Marie De Koninck|title = An asymptotic formula for reciprocals of logarithms of certain multiplicative functions|journal=Canadian Mathematical Bulletin|volume = 21|issue=4|year = 1978|pages = 409–413|doi=10.4153/CMB-1978-072-4}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Paul|last2= Erdős|author-link2 = Paul Erdős|title = Estimates for sums involving the largest prime factor of an integer and certain related additive functions|journal = Studia scientiarum mathematicarum hungarica|location = Budapest|volume = 15|year = 1980|pages = 183–199}} [https://www.emis.de/classics/Erdos/cit/pdf/45510031.pdf abstract]
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Wolfgang Karl|last2= Schwarz|title = Remarks on some number-theoretical functional equations|journal = Aequationes Mathematicae|location = Waterloo, Ontario|volume = 20|year = 1980|pages = 80–89 |doi=10.1007/BF02190496}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = Exponent pairs and the zeta-function of Riemann|journal = Studia scientiarum mathematicarum hungarica|location = Budapest|issue = 15|year = 1980|pages = 157–181}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Carl|last2= Pomerance|author-link2= Carl Pomerance|title = Estimates for certain sums involving the largest prime factor of an integer|journal = Actes de la Conférence de Budapest sur la théorie des nombres de juillet 1981|publisher = North Holland|location = Amsterdam|year = 1984|pages = 769–789}}
• {{cite journal|first2 = Aleksandar|last2 = Ivić|first1 = Paul|last1 = Erdős|author-link1 = Paul Erdős|first3 = Carl|last3= Pomerance|author-link3 = Carl Pomerance|title = On sums involving reciprocals of the largest prime factor of an integer|journal = Glasnik Matematički|volume = 21|issue=41|location = Zagreb|year = 1986|pages = 283–300|url=http://combinatorica.hu/~p_erdos/1986-10.pdf}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Gérald|last2 = Tenenbaum|author-link2 = Gérald Tenenbaum|title = Local densities over integers free of large prime factors|journal = Quarterly Journal of Mathematics|volume =37 |issue=2|location = Oxford|year = 1986|pages = 401–417| doi=10.1093/qmath/37.4.401 |url=https://tenenb.perso.math.cnrs.fr/PPP/loc-dens.pdf}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = The general divisor problem|journal = Journal of Number Theory|location = Columbus, Ohio|volume = 27|year = 1987|pages = 73–91|doi=10.1016/0022-314X(87)90053-9|doi-access = free}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Matti|last2 = Jutila|author-link2 = Matti Jutila|title = Gaps between consecutive zeros of the Riemann zeta-function|journal = Monatshefte für Mathematik|volume = 105|location = Vienna|year = 1988|pages = 59–73|doi=10.1007/BF01471104}}
• {{cite journal|first2 = Aleksandar|last2 = Ivić|first1 = James Lee|last1 = Hafner|title = On the mean square of the Riemann zeta-function on the critical line|journal = Journal of Number Theory|volume = 32|location = Columbus, Ohio|year = 1989| issue=2 |pages = 151–191| doi=10.1016/0022-314X(89)90024-3 |url=https://core.ac.uk/download/pdf/81136362.pdf}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Yōichi|last2 = Motohashi|title = A note on the mean-value of the zeta and L-functions|journal = Proceedings of the Japan Academy, Series A|volume = 66|year = 1990|pages = 150–152|doi=10.3792/pjaa.66.150}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Rajangam|last2 = Balasubramanian|first3= Kanakanahalli|last3 = Ramachandra|author-link3 = Kanakanahalli Ramachandra|title = The mean square of the Riemann zeta-function on the line $\backslash sigma\; =\; 1$|journal = L'Enseignement mathématique|location = Geneva|volume = 38|year = 1992|pages = 13–25}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Isao|last2 = Kiuchi|title = On some integrals involving the Riemann zeta-function in the critical strip|journal = Publikacije Elektrotehničkog fakulteta|volume = 5|location = Belgrade|year = 1994|pages = 19–28}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Žarko|last2 = Mijajlović|title = On Kurepa's problems in number theory|journal = Publications de l'Institut mathématique|volume = 57|issue=71|location = Belgrade|year = 1995|pages = 19–28}} [https://arxiv.org/abs/math/0312202 arXiv preprint]
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = An approximate functional equation for a class of Dirichlet series|journal = The Journal of Analysis|volume= 3|location = Madras|year = 1995|pages = 241–252}}
• {{cite journal|first2 = Aleksandar|last2 = Ivić|first1 = Ivan|last1 = Gutman|author-link1 = Ivan Gutman|title = On Matula numbers|journal = Discrete Mathematics|volume = 150|year = 1996| issue=1–3 |pages = 131–142|doi=10.1016/0012-365X(95)00182-V}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = The Voronoi identity via the Laplace transform|journal = The Ramanujan Journal|issue = 2|year = 1998| volume=2 |pages = 39–45| doi=10.1023/A:1009753723245 }}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|first2 = Kohji|last2 = Matsumoto|author-link2 = Kohji Matsumoto|first3= Yoshio|last3 = Tanigawa|title = On Riesz means of the coefficients of the Rankin-Selberg series|journal = Mathematical Proceedings of the Cambridge Philosophical Society|volume = 127|year = 1999| issue=1 |pages = 117–131| doi=10.1017/S0305004199003564 | bibcode=1999MPCPS.127..117I }}
• {{cite journal|first2 = Aleksandar|last2 = Ivić|first1 = Michel|last1 = Balazard|title = The mean square of the logarithm of the zeta-function|journal = Glasgow Mathematical Journal|volume = 42|year = 2000| issue=2 |pages = 157–166|doi=10.1017/S0017089500020012}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = On sums of Hecke series in short intervals|journal = Journal de Théorie des Nombres de Bordeaux|volume = 13|year = 2001| issue=2 |pages = 453–468| doi=10.5802/jtnb.333 |arxiv = math/0311374}}
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = On the integral of Hardy's function|journal = Archiv der Mathematik|volume = 83|location = Bâle-Stuttgart|year = 2004|pages = 41–47| doi=10.1007/s00013-003-4892-9 | arxiv=0907.3803 }} [https://arxiv.org/abs/0907.3803 arXiv preprint]
• {{cite journal|first1 = Aleksandar|last1 = Ivić|title = The Mellin transform of the square of Riemann's zeta-function|journal = International Journal of Number Theory|volume = 1|year = 2005|pages = 65–73| doi=10.1142/S1793042105000042 | arxiv=math/0411040 }}

• {{cite book|first1 = Aleksandar|last1 = Ivić|first2 = Jean-Marie|last2= De Koninck|author-link2 = Jean-Marie De Koninck|title = Topics in arithmetical functions: asymptotic formulae for sums of reciprocals of arithmetical functions and related results|publisher = North Holland|location = Amsterdam|year = 1980|postscript=; 262 pages}}
• {{cite book|first1 = Aleksandar|last1 = Ivić|title = Topics in recent zeta-function theory|publisher= Publications mathématiques d'Orsay|location = Orsay|year = 1983|postscript=; 272 pages}}
• {{cite book|first1 = Aleksandar|last1 = Ivić|title = The Riemann zeta-function|publisher = John Wiley & Sons|location = New York|year = 1985|postscript=; 517 pages}}
• {{cite book|first1 = Aleksandar|last1 = Ivić|title = The Riemann zeta-function|publisher = Dover|location = New York|year = 2003|postscript=; pages 517 pages|edition=2nd| isbn=978-0-486-42813-0 |url=https://books.google.com/books?id=jT9gjGipNDUC}}{{cite web|author=Gouvêa, Fernando Q.|author-link=Fernando Q. Gouvêa|date=July 25, 2003|url=https://old.maa.org/press/maa-reviews/the-riemann-zeta-function-theory-and-applications |title=review of The Riemann Zeta-Function: Theory and Applications by Aleksandar Ivić|website=MAA Review, Mathematical Association of America (MAA)}}
• {{cite book|title=2012 edition| isbn=978-0-486-14004-9 |url=https://books.google.com/books?id=tUXCAgAAQBAJ|postscript=; 562 pages | last1=Ivic | first1=Aleksandar | date=12 July 2012 | publisher=Courier Corporation }}
• {{cite book|first1 = Aleksandar|last1 = Ivić|title = Lectures on Mean Values of the Riemann Zeta Function|publisher = Tata Institute of Fundamental Research|location = Bombay|year = 1991|postscript=; 363 pages|url = https://mathweb.tifr.res.in/sites/default/files/publications/ln/tifr82.pdf}}
• {{cite book|first1 = Aleksandar|last1 = Ivić|first2 = Slobodan |last2 = Vujić|title = Matematički metodi u rudarstvu i geologiji (Mathematical methods in mining and geology)|language=sr|publisher = Faculty of mines and geology of the University of Belgrade|location = Belgrade|year = 1991|postscript=; 328 pages}}
• {{cite book|first1 = Aleksandar|last1 = Ivić|language=sr|title = Uvod u analiticku teoriju brojeva (Introduction to analytic number theory)|publisher = Izdavačka knjižarnica Zorana Stojanovića|location = Sremski Karlovci-Novi Sad|year = 1996|postscript=; 389 pages}}
• {{cite book|url=https://books.google.com/books?id=iphWE4ZV_f4C | title=The Theory of Hardy's Z-Function | isbn=978-1-107-02883-8 |series=Cambridge Tracts in Mathematics, 196| last1=Ivić | first1=A. | date=2013 | publisher=Cambridge University Press }}{{cite web|author=Hassani, Mehdi|date=October 20, 2014|url=https://maa.org/press/maa-reviews/the-theory-of-hardys-z-function |title=review of The Theory of Hardy's Z-Function by Alexandra Ivić|website=Mathematical Association of America (MAA) }}

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Category:1949 births

Category:2020 deaths

Category:Serbian mathematicians

Category:Number theorists

Category:University of Novi Sad alumni

Category:University of Belgrade alumni

Category:Academic staff of the University of Belgrade

Category:Members of the Serbian Academy of Sciences and Arts

Category:Scientists from Belgrade