207:
showed that the even case is always true and that if there is one number n such that p(An+B) is odd, then there are infinitely many such numbers n. The odd case was finally settled by Silviu Radu. A more general variant of the conjecture was formulated by
203:, p(n), which became one of his favourite problems. For example, he conjectured that if A and B are integers with 0 ā¤ B < A, there are infinitely many n for which p(An+B) is even and infinitely many n for which p(An+B) is odd.
212:
predicting that for any given r and m, there are infinitely many n such that p(n)= r(mod m). At the end of his life, Subbarao co-authored a book on partition theory with A.K. Agarwal and
Padmavathamma.
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233:. Thus, Subbarao's conjectures, though seemingly simple, will generate fundamental research activity for years to come. He also researched special classes of
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Newman, M. (November 1960). "Periodicity modulo m and divisibility properties of the partition function".
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1). He continued producing mathematics papers into the final years of his life. He died in
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is ubiquitous in mathematics with connections to the representation theory of the
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Ono, K. (1996). "Parity of the partition function in arithmetic progressions".
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A prolific collaborator, Subbarao had more than 40 joint authors (including
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Subbarao, M. V. (October 1966). "Some remarks on the partition function".
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University of
Alberta Department of Mathematical and Statistical Sciences
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Shanti Swarup
Bhatnagar Prize recipients in Mathematical Science
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1105:
Infinite series expansions for the trigonometric functions
192:, where he spent the rest of his professional career.
1354:
Ramanujan
Institute for Advanced Study in Mathematics
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Radu, S. (2012). "A proof of
Subbarao's conjecture".
284:; Subbarao, M. V. (1974). "On exponential divisors".
280:
485:Transactions of the American Mathematical Society
1371:
448:Journal fĆ¼r die reine und angewandte Mathematik
411:Journal fĆ¼r die reine und angewandte Mathematik
320:
16:Indian-born Canadian mathematician (1921ā2006)
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1415:Academic staff of the University of Alberta
180:. He worked at Presidency College, Madras,
136:Mathukumalli (Matukumalli) Venkata Subbarao
1121:Kerala school of astronomy and mathematics
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156:Subbarao was born in the small village of
545:"Prof. Mathukumalli Vidyasagar, Homepage"
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195:In the 1960s Subbarao began to study the
138:(May 4, 1921 ā February 15, 2006) was an
1349:Homi Bhabha Centre for Science Education
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1420:University of Missouri mathematicians
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345:: Current Science Association: 1011.
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874:Subbayya Sivasankaranarayana Pillai
520:"Dr. Mathukumalli Venkata Subbarao"
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237:and the corresponding analogues of
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1440:Presidency College, Chennai alumni
1400:21st-century Indian mathematicians
1395:20th-century Indian mathematicians
1334:Institute of Mathematical Sciences
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168:in 1941. He went on to complete a
149:. He was a long-time resident of
14:
1456:
1344:Harish-Chandra Research Institute
854:K. R. Parthasarathy (probabilist)
562:
267:Subbarao was the father of Prof.
245:, such as those arising from the
188:, before moving in 1963 to the
1425:Scientists from Andhra Pradesh
1329:Chennai Mathematical Institute
698:Melpathur Narayana Bhattathiri
326:"Matukumalli Venkata Subbarao"
158:Yazali, Guntur, Andhra Pradesh
43:Yazali, Guntur, Andhra Pradesh
1:
573:Mathematics Genealogy Project
374:American Mathematical Monthly
307:
300:10.1215/S0012-7094-74-04152-0
178:Ramaswamy S. Vaidyanathaswamy
1319:Indian Statistical Institute
120:Other academic advisors
7:
1435:People from Guntur district
1339:Indian Institute of Science
1324:Bhaskaracharya Pratishthana
1202:A. A. Krishnaswamy Ayyangar
1167:Shankar Balakrishna Dikshit
1094:HinduāArabic numeral system
182:Sri Venkateswara University
10:
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1405:Indian emigrants to Canada
834:Subrahmanyan Chandrasekhar
166:Presidency College, Madras
74:Presidency College, Madras
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844:Veeravalli S. Varadarajan
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287:Duke Mathematical Journal
160:, India. He received his
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1430:Scientists from Edmonton
1260:Henry Thomas Colebrooke
849:S. R. Srinivasa Varadhan
569:Mathukumalli V. Subbarao
114:Prof R Vaidyanatha Swamy
1445:Canadian mathematicians
1410:Indian number theorists
733:MÄdhava of Saį¹
gamagrÄma
461:10.1515/crelle.2011.165
424:10.1515/crll.1996.472.1
269:Mathukumalli Vidyasagar
186:University of Missouri
944:BrÄhmasphuį¹asiddhÄnta
275:Selected publications
190:University of Alberta
1220:T. A. Saraswati Amma
931:Bakhshali manuscript
899:Kannan Soundararajan
247:exponential divisors
223:general linear group
1296:Islamic mathematics
1255:Walter Eugene Clark
1049:Vasishtha Siddhanta
1021:SiddhÄnta Shiromani
1000:Paitamaha Siddhanta
879:Tilak Raj Prabhakar
824:Satyendra Nath Bose
819:Srinivasa Ramanujan
773:Nilakantha Somayaji
322:Balasubramanian, R.
174:functional analysis
788:Gangesha Upadhyaya
609:Indian mathematics
324:(April 10, 2006).
264:at the age of 84.
201:partition function
199:properties of the
145:, specialising in
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1173:Sudhakara Dvivedi
993:Paulisa Siddhanta
912:
911:
768:Jagannatha Samrat
763:Achyuta Pisharati
239:divisor functions
151:Edmonton, Alberta
133:
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124:Prof K Ananda Rau
92:Scientific career
85:Theory of numbers
83:Contributions to
62:Edmonton, Alberta
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889:Akshay Venkatesh
859:M. S. Narasimhan
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23:M.V. Subbarao
20:
1312:institutions
1232:K. S. Shukla
1204:(1892ā 1953)
1070:Yavanajataka
1068:
1061:
1054:
1047:
1040:
1033:
1028:Åulba SÅ«tras
1026:
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1014:Sadratnamala
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958:Kanakkusaram
956:
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935:
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793:VarÄhamihira
758:Parameshvara
713:GovindasvÄmi
683:Äryabhaį¹a II
550:December 24,
548:. Retrieved
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258:ErdÅs number
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56:(2006-02-15)
1385:2006 deaths
1380:1921 births
1248:Translators
1240:(1919ā2005)
1238:K. V. Sarma
1234:(1918ā2007)
1228:(1918ā1992)
1222:(1918ā2000)
1216:(1903ā1978)
1210:(1901ā1954)
1208:A. N. Singh
1193:(1888ā1958)
1191:B. B. Datta
1187:(1876ā1962)
1181:(1861ā1916)
1175:(1855ā1910)
1169:(1853ā1898)
1163:(1821ā1900)
1154:mathematics
1098:Symbol for
1082:innovations
979:Lokavibhaga
925:Aryabhatiya
723:Jyeį¹£į¹hadeva
708:Brahmagupta
693:BhÄskara II
678:Äryabhaį¹a I
662:Yajnavalkya
102:Mathematics
1374:Categories
1197:T. Hayashi
1080:Pioneering
1063:YuktibhÄį¹£Ä
986:PÄtÄ«gaį¹ita
937:Bijaganita
894:Ravi Vakil
748:Munishvara
728:Kamalakara
703:Brahmadeva
688:BhÄskara I
637:Baudhayana
356:January 5,
308:References
254:Paul ErdÅs
197:congruence
184:, and the
153:, Canada.
39:4 May 1921
35:1921-05-04
1226:S. N. Sen
1134:New Delhi
1056:Veį¹vÄroha
917:Treatises
718:Halayudha
671:Classical
642:Katyayana
632:Apastamba
529:April 10,
432:201061360
351:0011-3891
343:Bangalore
170:doctorate
1142:Varanasi
1100:zero (0)
972:LÄ«lÄvatÄ«
839:C.R. Rao
803:Virasena
783:Sridhara
753:Narayana
738:MahÄvÄ«ra
469:14944207
262:Edmonton
235:divisors
221:and the
64:, Canada
1281:Babylon
1114:Centres
778:ÅrÄ«pati
657:Pingala
625:Ancient
571:at the
506:1993300
395:2314179
231:physics
205:Ken Ono
45:, India
1310:Modern
1301:Europe
1291:Greece
1138:Ujjain
1130:Jaipur
812:Modern
652:PÄį¹ini
647:Manava
504:
467:
430:
393:
349:
229:, and
98:Fields
1286:China
502:JSTOR
465:S2CID
428:S2CID
391:JSTOR
341:(7).
329:(PDF)
164:from
1359:TIFR
552:2016
531:2012
453:2012
416:1996
358:2007
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