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ଜାତୀୟ ବିଜ୍ଞାନ ଶିକ୍ଷା ଏବଂ ଗବେଷଣା ପ୍ରତିଷ୍ଠାନ
ପରମାଣୁ ଶକ୍ତି ବିଭାଗ, ଭାରତ ସରକାରଙ୍କ ଏକ ସ୍ବୟଂଶାସିତ ପ୍ରତିଷ୍ଠାନ

राष्ट्रीय विज्ञान शिक्षा एवं अनुसंधान संस्थान
परमाणु ऊर्जा विभाग, भारत सरकार का एक स्वयंशासित संस्थान

National Institute of Science Education and Research
AN AUTONOMOUS INSTITUTE UNDER DAE, GOVT. OF INDIA
 

Jaban Meher

Associate Professor
 
 

jabanniser.ac.in
+91-674-2494097

  • Ph. D., July, 2012, Harish-Chandra Research Institute, Allahabad
  • M. Sc., 2006, Utkal University, Bhubaneswar, Odisha
  • B. Sc., 2004, Gangadhar Meher (Autonomous) College, (Sambalpur University), Sambalpur, Odisha.

Number Theory

  • Professor Gokulananda Das research award in Mathematics-2023.
  • Inspire faculty award by Department of Science and Technology (DST) in 2013 (Session-I).
  • National Board for Higher Mathematics (NBHM) Research Fellowship, 2006 (did not avail).

  1. (With M. K. Pandey and K. D. Shankhadhar) Koecher-Maass series have infinitely many critical zeros, Bull. Lond. Math. Soc., to appear.
  2. (With M. Tripathi) 4F3-Gaussian hypergeometric series and traces of Frobenius for elliptic curves, Res. Math. Sci., 9 (2022), Article no. 63., 
  3. (With A. Kumar and K. D. Shankhadhar) On signs of Hecke eigenvalues of Siegel eigenforms, Mathematika, 68 (2022), 1030--1044.
  4. (With M. Charan, K. D. Shankhadhar and R. K. Singh) A converse theorem for quasimodular forms, Forum Math., 34 (2022), 547--564.
  5. (With S. K. Singh) Mod p modular forms and simple congruences, Ramanujan J., 56 (2021), 821--838. 
  6. (With A. Kumar and K. D. Shankhadhar) Strong multiplicity one for Siegel cusp forms of degree two, Forum Math., 33 (2021), 1157--1167.
  7. (With S. K. Singh) Structure of Hermitian modular forms modulo p and some applications, Res. Number Theory, 7 (2021), Article no. 52. 
  8. (With A. Kumar) Rankin-Cohen brackets and identities among eigenforms II, Modular Forms and Related Topics in Number Theory, 125--141, Springer Proceedings of Mathematics and Statistics, Vol. 340, 2020.
  9. (With S. K. Singh) Congruences in Hermitian Jacobi and Hermitian modular forms, Forum Math., 32 (2020), 501--523.
  10. (With B. Kumar and S. Pujahari) Some remarks on the coefficients of symmetric power L-functions, Automorphic Forms and Related Topics, 155--164, Contemporary Mathematics, Vol. 732, American Mathematical Society, 2019.
  11. (With S. Pujahari and K. D. Shankhadhar) Zeros of L-functions attached to cusp forms of half-integral weight, Proc. Amer. Math. Soc., 147 (2019), 131--143.
  12. (With A. Kumar) Rankin-Cohen brackets and identities among eigenforms, Pacific Journal of Mathematics, 297 (2018), 381--403.
  13. (With K. D. Shankhadhar and G. K. Viswanadham) On the coefficients of symmetric power L-functions, Int. J. Number Theory, 14 (2018), 813--824. 
  14. On weakly holomorphic quasimodular forms, J. Ramanujan Math. Soc., 32 (2017), 339--353.
  15. (With S. Pujahari and K. Srinivas) Zeros of L-functions attached to modular forms of half-integral weight, Bull. Lond. Math. Soc., 49 (2017), 926--936.
  16. (With M. Ram Murty) Oscillations of coefficients of Dirichlet series attached to automorphic forms, Proc. Amer. Math. Soc., 145 (2017), 563--575.
  17. (With A. Kumar) On arbitrary products of eigenforms, Acta Arithmetica, 173 (2016), 283--295.
  18. (With S. B. Sinha) Some infinite sums identities, Czechoslovak Math. J., 65 (2015), 819--827.
  19. (With K. D. Shankhadhar) Asymptotic formulas for the coefficients of certain automorphic functions, Acta Arithmetica, 169 (2015), 59--76.
  20. (With S. Pujahari and K. D. Shankhadhar) Sign changes of coefficients of certain Dirichlet series, Funct. Approx. Comment. Math., 52 (2015), 117--126.
  21. (With M. Manickam and B. Ramakrishnan) Theory of newforms of half-integral weight, Pacific Journal of Mathematics, 274 (2015), 125--139.
  22. (With S. Das) On quasimodular eigenforms, Int. J. Number Theory, 11 (2015), 835--842.
  23. (With N. Tanabe) Sign changes of Fourier coefficients of Hilbert modular forms, J. Number Theory, 145 (2014), 230--244.
  24. (With M. Ram Murty) Sign changes of Fourier coefficients of half-integral weight cusp forms, Int. J. Number Theory, 10 (2014), 905--914.
  25. Some remarks on zeros of quasimodular forms, Arch. Math. (Basel), 101 (2013), 121--127.
  26. (With K. D. Shankhadhar and G. K. Viswanadham) A short note on sign changes, Proc. Indian Acad. Sci. Math. Sci, 123 (2013), 315--320.
  27. (With M. Ram Murty) Ramanujan's proof of Bertrand's postulate, Amer. Math. Monthly, 120 (2013), 650--653.
  28. Some remarks on Rankin-Cohen brackets of eigenforms, Int. J. Number Theory, 8 (2012), 2059--2068.
  29. (With W. Kohnen) Some remarks on the q-exponents of generalized modular functions, Ramanujan J., 25 (2011), no.1, 115--119.

Modular forms, L-functions

  • M305/MA703-Number Theory (Fall-2023), NISER
  • MA602-Algebra-II (Fall-2021, Spring-2023), NISER
  • M471-Advanced Number Theory (Fall-2022), NISER
  • MA601-Algebra-I (Spring-2022), NISER
  • M307-Field Theory (Spring-2016, Spring-2018, Spring-2019, Spring-2021), NISER
  • M101-Mathematics-I (Fall-2020), NISER     
  • M552-Analytic Number Theory (Spring-2020), NISER
  • M403-Commutative Algebra (Fall-2019), NISER
  • M601-Algebra I (Fall-2017, Fall-2018), NISER
  • M560-Modular forms of one variable (Spring-2017), NISER
  • M302-Rings and Modules (Fall-2016), NISER
  • MA 215-Introduction to Modular forms (Fall-2015), IISc, Bangalore
  • MATH 311-Elementary Number Theory (Fall-2012), Queen's University, Kingston, Canada

  • Hostel Warden (2016-2017).
  • UGCS Convener (2016-2018).
  • Member, PGCS, SMS (2018-2020, 2022-).
  • Member, UGCS, SMS (2020-2022).