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 k th 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