ATMW Analytic Number Theory (2015)

Venue: IMSc, Chennai
Dates: 19th- 24th Oct,2015


Convener(s) Speakers, Syllabus and Time table Applicants/Participants


School Convener(s)

Name Srinivas  Kotyada

Anirban Mukhopadhyay

Mailing Address Professor,
The Institute of Mathematical Sciences (IMSc)
CIT Campus, Taramani, Chennai-600113
Tamilnadu, India
The Institute of Mathematical Sciences (IMSc)
CIT Campus, Taramani, Chennai-600113
Tamilnadu, India


Speakers and Syllabus 

Registration: 9:00 hours, 19th October
Venue: Chandrasekhar Hall

The following is a short summary of the actual topics covered in the school.
Prof. Stephan Baier:-  lectured on estponential sums and their applications to analytic number theory in his four lectures. He mainly concentrated on A and B-processes in the theory of exponential sums and their applications to Dirichlet divisor problem and some other problems.
Prof. R. Balasubramanian:-  gave a series of six lectures on circle method. He showed that how this method can be used to attack additive problems. He proved the asymptotic formula for partition function, asymptotic formula for G(k) in Waring's problem and Vinogradov 3-prime theorem.
Prof. K. Srinivas :-lecture focused on the Riemann hypothesis and its consequences. In the first two lectures, out of four, he gave a quick introduction to the Riemann zeta function and its analytical properties. In the other two lectures, he spoke on the generalizations and consequences of Riemann hypothesis.
Prof. Anirban Mukhopadhyay :-gave a series of four lectures on the sieve methods and its applications. He proved the main theorems of Brun sieve and Selberg sieve and showed how these sieves can be applied to get upper and lower bounds for the number of primes and twin primes in intervals.
Dr. Kasi Viswanadham and Mr. Kamalaksha Mahatab have taken care of the tutorial sessions in which they asked the participants to solve some problems on the topics that are covered by the speakers.

Topics Speakers
Theory of exponential
Stephan Baier (SB)
Circle methods R. Balasubramanian (RB)
Consequences of Riemannhypothesis K. Srinivas (KS)
Sieve methods Anirban Mukhopadhyay (AM)

 Kasi Viswanadham
 Kamalakshya Mahatab

Date 9:30 - 11:00 11:30 - 13:00 14:00 - 15:30 16:00 - 17:00
19 Oct 2015 SB RB KS Discussion
20 Oct 2015 SB RB KS Discussion
21 Oct 2015 SB RB AM Discussion
22 Oct 2015 SB RB AM Discussion
23 Oct 2015 AM RB KS Discussion
24 Oct 2015 AM RB KS Discussion


Actual Participants


Sr SID Full Name Gender Affiliation State Position in College/ University University/ Institute M.Sc./M.A. Year of Passing M.Sc./ M.A Ph.D. Deg.Date
1 2586 Ms. R. Malathi Female Sri Sarada College For Women TN phD Student Govt. Arts. College for Women 2013  
2 2587 Ms J Mahalakshmi Female Sri Sarada College For Women TN PhD Student Sri Sarada College for Women 2014  
3 2600 Mr Kiran Virivinti Male University College Of Engineering AP Asst. Prof. OSMANIA 2002  
4 2613 Mr. Debakanta Buragohain Male Tinsukia College Assam Asst. Prof. Tezpur University 2009  
5 2614 Mr. Subhash Chand Male Karnataka State Open University Karnataka student Karnataka State Open University, Mysore Appeared  
6 2629 Mr. Praneel Samanta Male Um-Dae-Cbs Maharashtra M.Sc. UM-DAE-CBS Appeared  
7 2677 Dr. Gautam Kalita Male IIIT Guwahati Assam Asst. Prof. Tezpur University 2010 2/28/2014
8 2776 Dr. Piramanantham V Male Bharathidasan University TN Asst. Prof. Manonmaniam Sundaranar University 2003 6/24/2012
9 2802 Mr. Pratyush Mishra Male IISER Mohali Punjab PhD Student IISER Mohali Appeared  
10 2805 Mr Sumanth Bharadwaj H S Male Bangalore University Karnataka PhD Bangalore University 2008  
11 2821 Mr Yudhisthira Jamudulia Male Ramanujan School Of Mathematical Sciences Pondicherry PhD Sambalpur University 2007  
12 2858 Dr. Jaban Meher Male Indian Institute Of Science Karnataka Inspire faculty Utkal University 2006 7/25/2012
13 2867 Mr. Subramani  Muthukrishnan Male MADRAS CHRISTIAN COLLEGE          
14 2885 Ms. Neha Prabhu Female IISER Pune Maharashtra PhD IIT Bombay 2012  
15 2878 Dr. Priya Gupta Female Jecrc University, Jaipur Rajasthan Asst. Prof. HCPG College Varanasi 2007 2/11/2015
16 2909 Mr. Abhash Kumar Jha Male NISER, Bhubaneswar Orissa Ph.D. BHU, Varanasi 2010  
17 2928 Ms. Usha Keshav Sangale Female Swami Ramanand Teerth Marathwada University Maharashtra Asst. Prof. Savitribai Phule Pune University 2008  
18 2933 Mr. Priyaranjan Mallick Male NISER Orissa Project Fellow UTKAL UNIVERSITY 2013  
19 2940 Mr. Jagannath Bhanja Male IIT Roorkee Uttarakhand Ph.D Student Utkal University, Odisha 2012  
20 2941 Mr. Mithun Kumar Das Male HRI Uttar Pradesh PhD. Student IIT KHARAGPUR 2012  
21 2948 Ms. Nita Tamang Female North Bengal University West Bengal Asst. Prof. North Bengal University 2009  
22 2955 Mr. Sayantan Ganguly Male Birla Institute Of Technology,Mesra Jharkhand MSc Student Birla Institute of Technology, Mesra Appeared  
23 3000 Mrs Reehana Parveen M Female Jbas College For Women TN Asst. Professor Annamalai university 2002  
24 3004 Mr Sudhir Kumar Pujahari Male IISER-Pune Maharashtra SRF(CSIR) Utkal University 2008  
25 1 Yash Singh Male IIT Kanpur Kanpur - -  -  
26 2 Sneh Bala Sinha Female HRI, Allahabad Allahabad - -  -  
27 3 Mr Jyotidraditya Singh Male NISER-Bhubaneswar          
28 2907 Ms Sampa Dey Female IIT Madras TN PhD IIT Madras 2014  
29 2923 Mr Kamalakshya Mahatab Male The Institute Of Mathemaical Sciences TN PhD The Institute of Mathematical Sciences, Chennai 2012  
30 2946 Mr. Soumendra Ganguly Male CMI TN MSc CMI Appeared  

Local Particpants

Sr Full Name Affiliation
31 Mr Kunjakanan Nath MSc, CMI, Chennai
32 Mr Biswajyoti Saha SRF, IMSc, Chennai
33 Ms Ekata Saha SRF, IMSc, Chennai
34 Dr Senthil Kumar PDF, IMSc, Chennai
35 Dr Kashi Viswanath PDF, IMSc, Chennai
36 Dr Akhilesh P PDF, IMSc, Chennai
37 Mr Biplav Paul JRF, IMSc, Chennai
38 Mr Priyamvad Srivastav JRF, IMSc, Chennai
39 Mr Snehajit Misra JRF, IMSc, Chennai
40 Ms Jyotsna S JRF, IMSc, Chennai
41 Ms Nabanita Ray JRF, IMSc, Chennai
42 Mr Thilakraj Elumalai MSc, Ramanujan Institute, Chennai
43 Mr Pacchaiyappan N MSc, Ramanujan Institute, Chennai
44 Mr Chellapillai SRF, Bharatidasan Univ, Trichy
45 Ms Vishnu Priya MSc, Saradha College, Chidambaram


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