Resolution of the sign ambiguity in the determination of the cyclotomic numbers of order 4 and the corresponding Jacobsthal sum SA Katre, AR Rajwade Mathematica Scandinavica 60, 52-62, 1987 | 44 | 1987 |
Complete solution of the cyclotomic problem in for any prime modulus S Katre, A Rajwade Acta Arithmetica 45 (3), 183-199, 1985 | 37 | 1985 |
Cyclotomic numbers of order 2l, l an odd prime VV Acharya, SA Katre Acta Arithmetica 69 (1), 51-74, 1995 | 29 | 1995 |
Matrices over commutative rings as sums of 𝑘-th powers S Katre, A Garge Proceedings of the American Mathematical Society 141 (1), 103-113, 2013 | 20 | 2013 |
Number of points on the projective curves aYl= bXl+ cZl and aY2l= bX2l+ cZ2l defined over finite fields, l an odd prime N Anuradha, SA Katre Journal of Number Theory 77 (2), 288-313, 1999 | 19 | 1999 |
Jacobi sums and cyclotomic numbers of order l2 D Shirolkar, SA Katre Acta Arith 147, 33-49, 2011 | 16 | 2011 |
Matrices over orders in algebraic number fields as sums of 𝑘-th powers S Katre, S Khule Proceedings of the American Mathematical Society 128 (3), 671-675, 2000 | 14 | 2000 |
Unique determination of cyclotomic numbers of order five SA Katre, AR Rajwade manuscripta mathematica 53 (1-2), 65-75, 1985 | 11 | 1985 |
Complete solution of the cyclotomic problem in Fq for any prime modulus l, q ¼ pa, p 1 mod1 ð Þ S Katre, A Rajwade Acta Arithmetica 45 (3), 183-199, 1985 | 10* | 1985 |
Matrices over noncommutative rings as sums of kth powers SA Katre, K Wadikar Linear and Multilinear Algebra 69 (11), 2050-2058, 2021 | 9 | 2021 |
Jacobsthal sums of prime order SA Katre, AR Rajwade Indian J. pure appl. Math 17 (12), 1345-1362, 1986 | 9 | 1986 |
ON THE JACOBSTHAL SUM φ 9 (a) AND THE RELATED SUM ψ 9 (a) SA Katre, AR Rajwade Mathematica Scandinavica, 193-202, 1983 | 8 | 1983 |
Matrices over non-commutative rings as sums of powers SA Katre, D Krishnamurthi Linear and Multilinear Algebra 70 (5), 824-829, 2022 | 7 | 2022 |
Gauss-Jacobi sums and Stickelberger’s theorem SA Katre Cyclotomic fields and related topics, 75-92, 2000 | 7 | 2000 |
Euler's criterion for quintic nonresidues SA Katre, AR Rajwade Canadian Journal of Mathematics 37 (5), 1008-1024, 1985 | 7 | 1985 |
The cyclotomic problem SA Katre Current trends in number theory, 59-72, 2002 | 6 | 2002 |
Cyclotomic numbers and a conjecture of Snapper SA Katre Indian J. pure appl. Math 20 (2), 99-103, 1989 | 6 | 1989 |
Jac obsthal sums in terms of quadratic partitions of a prime SA Katre Number Theory: Proceedings of the 4th Matscience Conference held at …, 1985 | 6 | 1985 |
Decomposition of Kv into multigraphs with four vertices and five edges S Faruqi, SA Katre, DG Sarvate Ars Combinatoria 136, 287-316, 2018 | 5 | 2018 |
A discriminant criterion for matrices over orders in algebraic numbers fields to be sums of squares SA Katre, SA Khule Proc. Symp. on Alg. and Number Th.(Cochin, 1990) 20, 31-38, 1990 | 5 | 1990 |