Teacher Details
Katre Shashikant Anant
Department Of Mathematics
sakatre@math.unipune.ac.in
| 1) | Katre, S.A., Krishnamurthi, D. (2022). Matrices over non-commutative rings as sums of powers. Linear and Multilinear Algebra,
70 (5), 824-829. Google Scholar Citations,
ISSN(print/online): 0308-1087/1563-5139,
URL/DOI: http://dx.doi.org/10.1080/03081087.2020.1748856
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| 2) | Katre, S.A., Wadikar, K. (2021). Matrices over noncommutative rings as sums of kth powers. Linear and Multilinear Algebra,
69 (11), 2050-2058. Google Scholar Citations,
ISSN(print/online): 0308-1087/1563-5139,
URL/DOI: http://dx.doi.org/10.1080/03081087.2019.1659219
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| 3) | Yahyaei, L., Katre, S.A. (2020). Dimension of a lobster. AKCE International Journal of Graphs and Combinatorics,
17 (1), 407-413.
ISSN(print/online): 0972-8600/2543-3474,
URL/DOI: http://dx.doi.org/10.1016/j.akcej.2018.08.001
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| 4) | Shinde, P.N., Faruqi, S., Katre, S.A. (2020). On set graphs. Bulletin of the Institute of Combinatorics and its Applications,
88, 65-77.
ISSN(print/online): 1183-1278/2689-0674,
URL/DOI: https://luca-giuzzi.unibs.it/ICA/Volumes/88/Reprints/BICA2019-11-Reprint.pdf
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| 5) | Faruqi, S., Katre, S.A., Garg, M. (2020). Pseudo orthogonal Latin squares. Diskretnaya Matematika,
32 (3), 113-129.
ISSN(print/online): 0234-0860/2305-3143,
URL/DOI: http://dx.doi.org/10.4213/dm1615
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| 6) | Katre, S.A., Tanti, J. (2019). Euler’s criterion for eleventh power nonresidues. Proceedings of the Indian Academy of Sciences: Mathematical Sciences,
129 (3), 41. Google Scholar Citations,
ISSN(print/online): 0253-4142/0973-7685,
URL/DOI: http://dx.doi.org/10.1007/s12044-019-0482-z
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| 7) | Katre, S.A., Tanti, J. (2019). Euler’s criterion for eleventh power nonresidues. Proceedings of the Indian Academy of Sciences: Mathematical Sciences,
129 (3), 1-14. Google Scholar Citations,
ISSN(print/online): 0253-4142/0973-7685,
URL/DOI: http://dx.doi.org/10.1007/s12044-019-0482-z
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| 8) | Faruqi, S., Katre, S.A., Sarvate, D.G. (2018). On edge decompositions of a complete graph into smaller complete graphs. Journal of Combinatorial Mathematics and Combinatorial Computing,
106, 83-107.
ISSN(print/online): 0835-3026.
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| 9) | Faruqi, S., Katre, S.A., Sarvate, D.G. (2018). Decomposition of Kv into multigraphs with four vertices and five edges. Ars Combinatoria,
136, 287-316. Google Scholar Citations,
ISSN(print/online): 0381-7032,
URL/DOI: http://combinatorialmath.com/index.php/ArsCombinatoria/article/view/2848
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| 10) | Yahyaei, L., Katre, S.A. (2017). Representation number of a caterpillar. Journal of Combinatorial Mathematics and Combinatorial Computing,
101, 47-57.
ISSN(print/online): 0835-3026.
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| 11) | Katre, S.A., Yahyaei, L., Arumugam, S. (2017). Coprime Index of a Graph. Electronic Notes in Discrete Mathematics,
60, 72-82.
ISSN(print/online): 1571-0653,
URL/DOI: http://dx.doi.org/10.1016/j.endm.2017.06.011
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| 12) | Katre, S.A., Yahyaei, L. (2016). Dimension of a caterpillar. Journal of Combinatorial Mathematics and Combinatorial Computing,
98, 3-15. Google Scholar Citations,
ISSN(print/online): 0835-3026,
URL/DOI: http://combinatorialmath.com/index.php/JCMCC/index
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| 13) | Katre, S., Garge, A. (2013). Matrices over commutative rings as sums of 𝑘-th powers. Proceedings of the American Mathematical Society,
141 (1), 103-113. Google Scholar Citations,
ISSN(print/online): 0002-9939/1088-6826,
URL/DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11297-3
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| 14) | Shirolkar, D., Katre, S.A. (2011). Jacobi sums and cyclotomic numbers of order l2. Acta Arithmetica,
147 (1), 33-49. Google Scholar Citations,
ISSN(print/online): 0065-1036/1730-6264,
URL/DOI: http://dx.doi.org/10.4064/aa147-1-2
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Publications Before 2011 |
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| 15) | Tanti, J., Katre, A.S. (2010). Euler's criterion for Septic nonresidues. International Journal of Number Theory,
6 (6), 1329-1347. Google Scholar Citations,
ISSN(print/online): 1793-0421/1793-7310,
URL/DOI: http://dx.doi.org/10.1142/S1793042110003563
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| 16) | Katre, S.A., Rao, R.A., Sheth, D.N. (2009). Solving linear systems via Pfaffians. Linear Algebra and its Applications,
430 (4), 968-975. Google Scholar Citations,
ISSN(print/online): 0024-3795/1873-1856,
URL/DOI: http://dx.doi.org/10.1016/j.laa.2008.09.021
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| 17) | Katre, S.A. (2005). Catalan’s conjecture. Bulletin of the Marathwada Mathematical Society,
6 (2), 25-27.
ISSN(print/online): 0976-6049.
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| 18) | Katre, S.A. (2002). The factorisation of xn−1. Bulletin of the Marathwada Mathematical Society,
3, 87-97.
ISSN(print/online): 0976-6049.
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| 19) | Katre, S.A. (2001). Twin prime conjecture and generalisations. Bulletin of the Marathwada Mathematical Society,
2, 64-70.
ISSN(print/online): 0976-6049.
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| 20) | Katre, S., Khule, S. (2000). Matrices over orders in algebraic number fields as sums of k-th powers. Proceedings of the American Mathematical Society,
128 (3), 671-675. Google Scholar Citations,
ISSN(print/online): 0002-9939/1088-6826,
URL/DOI: http://dx.doi.org/10.1090/S0002-9939-99-05206-5
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| 21) | Anuradha, N., Katre, S.A. (1999). Number of Points on the Projective Curves aYl =bXl +cZ l and aY2l =bX2l +cZ2l Defined over Finite Fields, l an Odd Prime. Journal of Number Theory,
77 (2), 288-313. Google Scholar Citations,
ISSN(print/online): 0022-314X/1096-1658,
URL/DOI: http://dx.doi.org/10.1006/jnth.1999.2382
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| 22) | Katre, S.A., Anurdha, N. (1997). Explicit evaluation of cyclotomic numbers of prime order. Ranchi University Mathematical Journal,
28, 77-84. Google Scholar Citations,
ISSN(print/online): 0079-9602.
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| 23) | Acharya, V.V., Katre, S.A. (1995). Cyclotomic numbers of order 2l, l an odd prime. Acta Arithmetica,
69 (1), 51-74. Google Scholar Citations,
ISSN(print/online): 0065-1036/1730-6264,
URL/DOI: http://matwbn.icm.edu.pl/ksiazki/aa/aa69/aa6915.pdf
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| 24) | Katre, S.A. (1989). Cyclotomic numbers and a conjecture of Snapper. Indian Journal of Pure and Applied Mathematics,
20 (2), 99-103. Google Scholar Citations,
ISSN(print/online): 0019-5588/0975-7465,
URL/DOI: http://www.new1.dli.ernet.in/data1/upload/insa/INSA_2/20005a6f_99.pdf
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| 25) | Katre, S.A., Rajwade, A.R. (1986). Jacobsthal sums of Prime Order. Indian Journal of Pure and Applied Mathematics,
17 (12), 1345-1362. Google Scholar Citations,
ISSN(print/online): 0019-5588/0975-7465,
URL/DOI: http://www.new1.dli.ernet.in/data1/upload/insa/INSA_2/20005a50_1345.pdf
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| 26) | Katre, S.A., Rajwade, A.R. (1986). On the Jacobsthal sum φ4 (a) and the related sum ψ8 (a). Annales Universitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae Sectio Mathematica,
29, 3-7.
ISSN(print/online): 0524-9007,
URL/DOI: http://annalesm.elte.hu/annales29-1986/Annales_1986_T-XXIX.pdf
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| 27) | Katre, S., Rajwade, A. (1985). Complete solution of the cyclotomic problem in Fq for any prime modulus l, q = pα , p ≡ 1 (mod l). Acta Arithmetica,
3 (45), 183-199. Google Scholar Citations,
ISSN(print/online): 0065-1036/1730-6264,
URL/DOI: http://matwbn.icm.edu.pl/ksiazki/aa/aa45/aa4531.pdf
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| 28) | Katre, S.A., Rajwade, A.R. (1985). Unique determination of cyclotomic numbers of order five. Manuscripta Mathematica,
53 (1), 65-75. Google Scholar Citations,
ISSN(print/online): 0025-2611/1432-1785,
URL/DOI: http://dx.doi.org/10.1007/BF01174011
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| 29) | Katre, S.A., Rajwade, A.R. (1985). Euler’s criterion for quintic nonresidues. Canadian Journal of Mathematics,
37 (5), 1008-1024. Google Scholar Citations,
ISSN(print/online): 0008-414X/1496-4279.
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| 30) | Katre, S.A., Rajwade, A.R. (1983). On the Jacobsthal sum φ9 (a) and the related sum ψ9 (a). Mathematica Scandinavica,
53 (2), 193-202.
ISSN(print/online): 0025-5521/1903-1807,
URL/DOI: https://www.jstor.org/stable/pdf/24491502.pdf?refreqid=excelsior%3A3064d7d77c1564bffa45008e6f2d04cf
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