Dr Rupam Barman
Professor
| Department of Mathematics
Indian Institute of Technology, Guwahati
Assam
Expertise:
Mathematics
86
Publications
5
Projects
502
Scopus Citations
389
CrossRef
22 Years 11 Months Total Experience
Scopus
502
Citations
12
h-index
CrossRef
389
Citations
11
h-index
Google Scholar
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Professional Recognition
Teacher Fellowship
2008
NBHM
Post-doctoral Fellowship
2011
ICTP Trieste Italy
Post-doctoral Fellowship
2011
Mathematics Center Heidelberg, University of Heidelberg Germany
Indo-Australlian visiting fellowship
2012
INSA
A M Mathai Research Excellence Award for the year 2022
2022
Society for Special Functions and their Applications (SSFA)
Associate Editor
2023
The Ramanujan Journal
Community & Membership
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Ramanujan Mathematical Society
Life memberAssam Academy of Mathematics
Life memberPersonal Details
Doctor of Philosophy
2010
N/A
Master of Science
2001
Indian Institute of Technology, Indore
Bachelor of Science
1999
N/A
Doctor of Philosophy
N/A
Professor
Jun 2021 – Present
Indian Institute of Technology, Guwahati
| Department of Mathematics
Associate Professor
Jul 2016 – Jun 2021
Indian Institute of Technology, Guwahati
| Department of Mathematics
Assistant Professor (Grade-I)
May 2014 – Jun 2016
Indian Institute of Technology, Delhi
Associate Professor
Aug 2010 – Apr 2013
Tezpur University
Assistant Professor
Oct 2002 – Jul 2010
Tezpur University
Physical Sciences
Scholarly Work
Distributions of certain partition functions
OtherElliptic Curves with Complex Multiplication and Hypergeometric Sums
OtherHypergeometric functions, algebraic curves and supercongruences
OtherHypergeometric Functions Over p-adic Numbers and Algebraic Curves
OtherIwasawa Theory of Lubin-Tate division towers and a lemma of Coleman
OtherCertain families of algebraic curves and polynomials, and their connections to hypergeometric series
Hypergeometric series in the p-adic setting, truncated hypergeometric series and supercongruences
Arithmetic properties of certain partition functions and modular forms
Some problems on exponential sums
Appell series over finite fields and Gaussian hypergeometric series
Divisibility of Certain Partition Functions and Modular Forms
Paley and Peisert graphs over finite fields and their generalizations
Study of Certain Partition Functions: Arithmetic Properties, Quantitative Estimates, Asymptotic Formulae, and Partition Inequalities
p-Adic quotient sets and p-adic valuation of linear recurrence sequences
Hypergeometric Functions and their Relations to Algebraic Varieties and Modular Forms
Paley and Peisert graphs over finite fields, and their generalizations
Arithmetic properties of certain partition functions and modular forms
Some problems on exponential sums
Appell series over finite fields and Gaussian hypergeometric series
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Scholarly Publications
Hyperelliptic curves over Fq and Gaussian hypergeometric series
Scopus: 7
Summation identities and transformations for hypergeometric series – II
Open Access
10.7169/FACM/1812
Scopus: 1
Mex-related partition functions of andrews and newman
Scopus: 8
HIGHER ORDER MOMENTS OF GENERALIZED QUADRATIC GAUSS SUMS WEIGHTED BY L-FUNCTIONS
An improved estimate of the fourth power mean of the general 3-dimensional kloosterman sum mod p
Open AccessAppell series over finite fields and Gaussian hypergeometric series
On mex-related partition functions of Andrews and Newman
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions
Open Access
Showing 1 to 8 of 86 publications