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R. Sivaramakrishnan
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All published works
Action
Title
Year
Authors
+
ALGEBRIC AS ANALOGUES OF CERTAIN THEOREMS OCCURRING IN ELEMENTARY NUMBER THEORY
2024
R. Sivaramakrishnan
+
Algebraic Number Fields
2019
R. Sivaramakrishnan
+
On Cyclic Codes of Length n over F q
2019
R. Sivaramakrishnan
+
On the Uniqueness of a Group of Order r (r > 1)
2019
R. Sivaramakrishnan
+
Commutative Rings with Unity
2019
R. Sivaramakrishnan
+
Burnside’s Lemma and a Few of Its Applications
2019
R. Sivaramakrishnan
+
A Generalization of Ramanujan Sums
2019
R. Sivaramakrishnan
+
Dirichlet Algebra of Arithmetical Functions
2019
R. Sivaramakrishnan
+
Ramanujan Expansions of Multiplicative Arithmetic Functions
2019
R. Sivaramakrishnan
+
Quadratic Residues (mod r) (r > 1)
2019
R. Sivaramakrishnan
+
Noetherian and Artinian Rings
2019
R. Sivaramakrishnan
+
Quadratic Reciprocity in a Finite Group
2019
R. Sivaramakrishnan
+
From Euclid to Lucas: Elementary Theorems Revisited
2019
R. Sivaramakrishnan
+
Decomposition of a Number as a Sum of Two or Four Squares
2019
R. Sivaramakrishnan
+
Vaidyanathaswamy’s Class-Division of Integers Modulo r
2019
R. Sivaramakrishnan
+
Classical Theory of Arithmetic Functions
2018
R. Sivaramakrishnan
+
The Möbius Function
2018
R. Sivaramakrishnan
+
Specially Multiplicative Functions
2018
R. Sivaramakrishnan
+
Ramanujan Expansions of Certain Arithmetic Functions
2018
R. Sivaramakrishnan
+
Arithmetic Functions of Polynomials
2018
R. Sivaramakrishnan
+
Periodic Functions (mod r)
2018
R. Sivaramakrishnan
+
Multiplicative Functions Revisited
2018
R. Sivaramakrishnan
+
The Divisor Functions
2018
R. Sivaramakrishnan
+
Multiplicative Functions Via Finite Abelian Groups
2018
R. Sivaramakrishnan
+
Multiplicative Functions of One Variable
2018
R. Sivaramakrishnan
+
Ramanujan’s τ-Function
2018
R. Sivaramakrishnan
+
The Euler Ď•-Function
2018
R. Sivaramakrishnan
+
Ramanujan’s Sum and Its Generalizations
2018
R. Sivaramakrishnan
+
Certain Number-Theoretic Episodes In Algebra
2006
R. Sivaramakrishnan
R. Sivaramakrishnan
+
On certain trigonometric sums in several variables
1994
Pentti Haukkanen
R. Sivaramakrishnan
+
PDF
Chat
Arithmetic functions in an algebraic setting
1991
Pentti Haukkanen
R. Sivaramakrishnan
+
Generalized Fibonacci Sequences via Arithmetical Functions
1990
P. J. McCarthy
R. Sivaramakrishnan
+
Friendly-Pairs of Multiplicative Functions
1987
N. Balasubrahmanyan
R. Sivaramakrishnan
+
On certain expoential and character sums
1982
R. Sivaramakrishnan
B. K. Vijayan
+
Some properties of specially multiplicative functions
1981
Don Redmond
R. Sivaramakrishnan
+
PDF
Chat
Square-Reduced Residue Systems (Mod <i>r</i>) and Related Arithmetical Functions
1979
R. Sivaramakrishnan
+
Contributions to the study of multiplicative arithmetic functions
1971
R. Sivaramakrishnan
+
Generalization of an Arithmetic Function
1969
R. Sivaramakrishnan
+
The Arithmetic Function Ď„ k,r (n)
1968
R. Sivaramakrishnan
Common Coauthors
Coauthor
Papers Together
Pentti Haukkanen
2
Don Redmond
1
B. K. Vijayan
1
P. J. McCarthy
1
N. Balasubrahmanyan
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Introduction to Analytic Number Theory
1976
Tom M. Apostol
5
+
PDF
Chat
The theory of multiplicative arithmetic functions
1931
R. Vaidyanathaswamy
3
+
On a class of multiplicative arithmetic functions.
1976
R. Sivaramakrishnan
3
+
Hypo-multiplicative number — theoretic functions
1973
D. B. Lahiri
2
+
PDF
Chat
Modular Functions and Dirichlet Series in Number Theory
1976
Tom M. Apostol
2
+
Contributions to the study of multiplicative arithmetic functions
1971
R. Sivaramakrishnan
2
+
Arithmetical functions associated with the unitary divisors of an integer
1960
Eckford Cohen
2
+
Classical Theory of Arithmetic Functions
2018
R. Sivaramakrishnan
2
+
Modular Functions and Dirichlet Series in Number Theory
1990
Tom M. Apostol
2
+
Representations of even functions (mod r), II. Cauchy products
1959
Eckford Cohen
2
+
Introduction to Analytic Number Theory
1976
Tom M. Apostol
2
+
Rings of arithmetic functions
1952
Eckford Cohen
1
+
The evaluation of Ramanujan’s sum and generalizations
1953
Douglas R. Anderson
Tom M. Apostol
1
+
PDF
Chat
Note on Salié’s sum
1971
Kenneth S. Williams
1
+
PDF
Chat
A note on Kloosterman sums
1945
Albert Leon Whiteman
1
+
A theorem of Brewer on character sums
1963
Albert Leon Whiteman
1
+
PDF
Chat
Note on Brewer’s character sum
1978
Kenneth S. Williams
1
+
Representations of even functions (mod r), Arithmetical identities
1958
Eckford Cohen
1
+
An Introduction to the Theory of Numbers.
1961
W. J. LeVeque
Ivan Niven
Herbert S. Zuckerman
1
+
PDF
Chat
On the distribution of prime numbers which are of the form $x^2 + y^2 +1$
1970
Yoichi Motohashi
1
+
Semi-multiplicative functions
1966
David Rearick
1
+
Some properties of specially multiplicative functions
1981
Don Redmond
R. Sivaramakrishnan
1
+
PDF
Chat
On certain character sums
1961
B. W. Brewer
1
+
Multiplicative functions and operators of Hecke type
1962
R. A. Rankin
1
+
On certain arithmetical sums
1972
K. Nageswara Rao
1
+
Arithmetic Functions in an Unusual Setting
1966
L. Carlitz
1
+
Busche-Ramanujan Identities
1960
Patrik McCarthy
1
+
The Arithmetical Function Ď„ k (N)
1962
Martin G. Beumer
1
+
A Generalization of the Euler φ-Function
1958
Henry L. Alder
1
+
Trigonometric Sums in Elementary Number Theory
1959
Eckford Cohen
1
+
A Characteristic Property of the Mobius Function
1965
Tom M. Apostol
1
+
There are Infinitely Many Carmichael Numbers
1994
W. R. Alford
Andrew Granville
Carl Pomerance
1
+
A Generalized Fibonacci Sequence
1961
A. F. Horadam
1
+
Number Theory III
1991
Serge Lang
1
+
A Class of Quasi-Fields Having Isomorphic Additive &Multiplicative Groups
1963
P. Kesava Menon
1
+
On the distribution of prime numbers which are of the form “x2+y2+1”
1971
Yoichi Motohashi
1
+
A Note on Multiple Kloosterman Sums
1965
L. Carlitz
1
+
Some more remarks on arithmetical identities
1962
Paul McCarthy
1
+
Introduction to Arithmetical Functions
1986
Paul McCarthy
1
+
Multiplicative even functions (mod r). I Structural properties.
1978
R. Sivaramakrishnan
1
+
Arithmetic Functions in an Unusual Setting
1966
L. Carlitz
1
+
COMBINATORIAL IDENTITIES
1971
J. M. Hammersley
1
+
A new identical equation for multiplicative functions of two arguments and its applications to Ramanujan’s sum CM(N)
1946
1
+
Hypo-multiplicative number-theoretic functions
1972
D. B. Lahiri
1
+
PDF
Chat
A Course in Homological Algebra
1997
P. J. Hilton
Urs Stammbach
1
+
On Some Basic Linear Properties of the Second-Order Inhomogeneous Line-Sequence
1997
Jack Y. Lee
1
+
A Note on Specially Multiplicative Arithmetic Functions
1988
Pentti Haukkanen
1
+
Some Properties of the Generalization of the Fibonacci Sequence
1987
Jin-Zai Lee
Jia-Sheng Lee
1
+
Basic Properties of a Certain Generalized Sequence of Numbers
1965
A. F. Horadam
1
+
Special Properties of the Sequence W <sub>n</sub> (a,b;p,q)
1967
A. F. Horadam
1