Shivani Goel

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All published works

Action	Title	Year	Authors
+ PDF Chat	Diophantine approximation and the subspace theorem	2025	Shivani Goel Rashi Lunia Anwesh Ray
+	Higher convolutions of Ramanujan sums	2024	Shivani Goel M. Ram Murty
+ PDF Chat	Explicit Deuring--Heilbronn phenomenon for Dirichlet $L$-functions	2024	Kübra Benli̇ Shivani Goel Henry Twiss Asif Zaman
+	Moments of averages of Ramanujan sums over number fields	2024	Sneha Chaubey Shivani Goel
+	On the distribution of index of Farey sequences	2024	Bittu Chahal Sneha Chaubey Shivani Goel
+	Pair correlation of real-valued vector sequences	2024	Sneha Chaubey Shivani Goel
+	Moments of Averages of Ramanujan Sums over Number Fields	2024	Sneha Chaubey Shivani Goel
+	On the moments of averages of Ramanujan sums	2024	Shivani Goel M. Ram Murty
+	On the Hardy-Littlewood prime tuples conjecture and higher convolutions of Ramanujan sums	2023	Sneha Chaubey Shivani Goel M. Ram Murty
+ PDF Chat	On the distribution of Ramanujan sums over number fields	2023	Sneha Chaubey Shivani Goel
+	Distance matrix of enhanced power graphs of finite groups	2023	Anita Arora Hiranya Kishore Dey Shivani Goel
+	Pair correlation of real-valued vector sequences	2023	Sneha Chaubey Shivani Goel
+ PDF Chat	On resistance matrices of weighted balanced digraphs	2022	Balaji Ramamurthy R.B. Bapat Shivani Goel
+ PDF Chat	Steiner distance matrix of caterpillar graphs	2022	Ali Azimi R. B. Bapat Shivani Goel
+	On the distribution of index of Farey Sequences	2022	Bittu Sneha Chaubey Shivani Goel
+ PDF Chat	Mean value estimates of gcd and lcm-sums	2021	Sneha Chaubey Shivani Goel
+ PDF Chat	Generalized Euclidean distance matrices	2021	R. Balaji R.B. Bapat Shivani Goel
+ PDF Chat	On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices	2021	Shivani Goel
+	Generalized Euclidean distance matrices	2021	R. Balaji R. B. Bapat Shivani Goel
+	On the distribution of Ramanujan Sums over number fields	2021	Sneha Chaubey Shivani Goel
+	Steiner distance matrix of caterpillar graphs	2021	Ali Azimi R. B. Bapat Shivani Goel
+	On resistance matrices of weighted balanced digraphs	2021	R. Balaji R. B. Bapat Shivani Goel
+	On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices.	2020	Shivani Goel
+ PDF Chat	On distance matrices of wheel graphs with an odd number of vertices	2020	R. Balaji R.B. Bapat Shivani Goel
+	An inverse formula for the distance matrix of a wheel graph with an even number of vertices	2020	R. Balaji R.B. Bapat Shivani Goel
+ PDF Chat	Distance matrices perturbed by Laplacians	2020	Balaji Ramamurthy R.B. Bapat Shivani Goel
+	Mean value estimates of the generalized gcd function	2020	Sneha Chaubey Shivani Goel
+	Mean value estimates of gcd and lcm-sums	2020	Sneha Chaubey Shivani Goel
+ PDF Chat	Resistance distance in directed cactus graphs	2020	R. Balaji R.B. Bapat Shivani Goel
+ PDF Chat	Resistance matrices of balanced directed graphs	2020	R. Balaji R.B. Bapat Shivani Goel
+	An inverse formula for the distance matrix of a wheel graph with even number of vertices	2020	R. Balaji R.B. Bapat Shivani Goel
+	On distance matrices of wheel graphs with odd number of vertices	2020	R. Balaji R.B. Bapat Shivani Goel
+	On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices	2020	Shivani Goel
+	Mean value estimates of gcd and lcm-sums	2020	Sneha Chaubey Shivani Goel
+	Resistance matrices of directed graphs	2019	R. Balaji R.B. Bapat Shivani Goel
+	Distance matrices perturbed by a Laplacian	2019	Balaji Ramamurthy R.B. Bapat Shivani Goel
+	Vulnerability Management for an Enterprise Resource Planning System	2012	Shivani Goel Ravi Kiran Deepak Garg

Common Coauthors

Coauthor	Papers Together
Sneha Chaubey	13
R.B. Bapat	10
R. Balaji	9
Balaji Ramamurthy	3
M. Ram Murty	2
R. B. Bapat	2
R. B. Bapat	2
R.B. Bapat	1
Anwesh Ray	1
Bittu	1
Ravi Kiran	1
Deepak Garg	1
Ali Azimi	1
Rashi Lunia	1
Asif Zaman	1
Anita Arora	1
Hiranya Kishore Dey	1
Bittu Chahal	1
Ali Azimi	1
R. Balaji	1
Henry Twiss	1
Kübra Benli̇	1
M. Ram Murty	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Distance matrix polynomials of trees	1978	R. L. Graham László Lovász	9
+	On distance matrices and Laplacians	2004	R.B. Bapat Steve Kirkland Michael Neumann	7
+	Inverse of the distance matrix of a block graph	2011	R.B. Bapat Sivaramakrishnan Sivasubramanian	7
+	Euclidean graph distance matrices of generalizations of the star graph	2014	Gašper Jaklič Jolanda Modic	6
+	Graphs and Matrices	2014	R. B. Bapat	5
+ PDF Chat	On sums of Ramanujan sums	2011	Tsz Ho Chan Angel Kumchev	4
+	Matrices and Graphs in Geometry	2011	Miroslav Fiedler	4
+ PDF Chat	The Distance Matrices of Some Graphs Related to Wheel Graphs	2013	Xiao Zhang Chengyuan Song	4
+	Resistance distance	1993	Douglas J. Klein Milan Randić	4
+	Inverse of the distance matrix of a bi-block graph	2015	Yaoping Hou Yajing Sun	4
+	Expansions of Arithmetical Functions in Infinite Series	1932	R. D. Carmichael	3
+	An inverse formula for the distance matrix of a wheel graph with an even number of vertices	2020	R. Balaji R.B. Bapat Shivani Goel	3
+ PDF Chat	Moments of averages of generalized Ramanujan sums	2016	Nicolas Robles Arindam Roy	3
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	3
+	Distance spectra of graphs: A survey	2014	Mustapha Aouchiche Pierre Hansen	3
+	Determinant of the distance matrix of a tree with matrix weights	2005	R.B. Bapat	3
+ PDF Chat	Resistance matrices of balanced directed graphs	2020	R. Balaji R.B. Bapat Shivani Goel	2
+	A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse	1974	David Carlson Emilie V. Haynsworth Thomas L. Markham	2
+	The average size of Ramanujan sums over quadratic number fields	2021	Wenguang Zhai	2
+	On the average value of the least common multiple of k positive integers	2016	Titus Hilberdink László Tóth	2
+ PDF Chat	On the order of Dirichlet<i>L</i>-functions	1979	Grigori Kolesnik	2
+	A Generalization of Euler's φ-Function	1948	Victor Klee	2
+	Higher moment of coefficients of Dedekind zeta function	2020	Guangwei Hu Ke Wang	2
+	On a Certain Family of Arithmetic Functions	1958	Paul McCarthy	2
+	Distribution of rational numbers in short intervals	2007	Matti Jutila	2
+	Elliptic matrices with zero diagonal	1994	Miroslav Fiedler	2
+ PDF Chat	On sums of generalized Ramanujan sums	2015	Yusuke Fujisawa	2
+	A SURVEY OF RAMANUJAN EXPANSIONS	2010	Lutz Lucht	2
+ PDF Chat	On distance matrices of wheel graphs with an odd number of vertices	2020	R. Balaji R.B. Bapat Shivani Goel	2
+	Some totient functions	1956	Eckford Cohen	2
+	Ramanujan — Fourier series and a theorem of Ingham	2014	H. Gopalakrishna Gadiyar M. Ram Murty R. Padma	2
+	On Euclidean distance matrices	2006	R. Balaji R.B. Bapat	2
+	Inequalities for M-matrices	1980	T. Andô	2
+	Ramanujan–Fourier series, the Wiener–Khintchine formula and the distribution of prime pairs	1999	H. Gopalkrishna Gadiyar R. Padma	2
+	Matrix-theoretic criteria for the quasiconvexity of twice continuously differentiable functions	1981	Jacques A. Ferland	2
+	A Brun-Titschmarsh theorem for multiplicative functions.	1980	Peter Shiu	2
+ PDF Chat	On Ramanujan sums over the Gaussian integers	2013	Werner Georg Nowak	2
+	Nonnegative Matrices and Applications	1997	R.B. Bapat T. E. S. Raghavan	2
+ PDF Chat	Eigenvalues in the large sieve inequality	2007	Olivier Ramaré	2
+	Eigenvalues of rank-one updated matrices with some applications	2007	Jiu Ding Aihui Zhou	2
+ PDF Chat	Multinomial probabilities, permanents and a conjecture of Karlin and Rinott	1988	R.B. Bapat	2
+ PDF Chat	Block distance matrices	2007	R. Balaji R.B. Bapat	2
+	The average size of Ramanujan sums over quadratic number fields	2012	Werner Georg Nowak	2
+	An extension of Ramanujan’s sum	1949	Eckford Cohen	2
+	Circum-Euclidean distance matrices and faces	1996	Pablo Tarazaga T. L. Hayden J. H. Wells	2
+	A Catalog of Interesting Dirichlet Series	2008	H. W. Gould Temba Shonhiwa	2
+	Completing a matrix when certain entries of its inverse are specified	1986	Miroslav Fiedler Thomas L. Markham	2
+ PDF Chat	Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes	1923	G. H. Hardy J. E. Littlewood	2
+	A Generalization of Waring's Formula	1996	John Konvalina	2
+ PDF Chat	Mean matrices and conditional negativity	2015	Rajendra Bhatia Tanvi Jain	2