Krishnaswami Alladi

Krishnaswami Alladi's AcademicInfluence.com Rankings

Krishnaswami Alladi

Mathematics

#2888

World Rank

#4367

Historical Rank

#1113

USA Rank

Number Theory

#95

World Rank

#130

Historical Rank

#20

USA Rank

Measure Theory

#3633

World Rank

#4286

Historical Rank

#1047

USA Rank

mathematics Degrees

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Mathematics

Krishnaswami Alladi's Degrees

PhD Mathematics University of California, Berkeley

Why Is Krishnaswami Alladi Influential?

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According to Wikipedia, Krishnaswami Alladi is an Indian-American mathematician who specializes in number theory. He works as a professor of mathematics at the University of Florida, and was chair of the mathematics department there from 1998 to 2008. He is also the editor-in-chief of The Ramanujan Journal , which he founded in 1997.

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Krishnaswami Alladi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Number Theory: Decomposition of the integers as a direct sum of two subsets (1995) (67)
On an additive arithmetic function. (1977) (65)
Legendre polynomials and irrationality. (1980) (62)
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences (2010) (58)
Partition identities involving gaps and weights (1997) (53)
Generalizations of Schur's partition theorem (1993) (53)
Generalizations and refinements of a partition theorem of Göllnitz. (1995) (38)
The Turán-Kubilius inequality for integers without large prime factors. (1982) (36)
A new four parameter q-series identity and its partition implications (2002) (31)
An Erdös-Kac theorem for integers without large prime factors (1987) (27)
A partial theta identity of Ramanujan and its number-theoretic interpretation (2009) (25)
A combinatorial correspondence related to Göllnitz’ (big) partition theorem and applications (1997) (25)
Schur’s partition theorem, companions, refinements and generalizations (1995) (23)
THE DISTRIBUTION OF v(n) IN THE SIEVE OF ERATOSTHENES (1982) (21)
Partition Identities and a Continued Fraction of Ramanujan (1993) (21)
A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan (2010) (20)
Duality between prime factors and an application to the prime number theorem for arithmetic progressions (1977) (20)
Refinements of Rogers-Ramanujan type identities (1997) (18)
New polynomial analogues of Jacobi's triple product and Lebesgue's identities (2002) (18)
A Fundamental Invariant in the Theory of Partitions (1999) (18)
On a Partition Theorem of Göllnitz and Quartic Transformations (1998) (15)
A NEW COMBINATORIAL STUDY OF THE ROGERS–FINE IDENTITY AND A RELATED PARTIAL THETA SERIES (2009) (15)
Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities (2010) (14)
On additive partitions of integers (1978) (14)
Moments of additive functions and the sequence of shifted primes. (1985) (13)
Göllnitz-Gordon Partitions with Weights and Parity Conditions (2004) (13)
Partitions with Non-Repeating Odd Parts and Combinatorial Identities (2016) (13)
Partition Identities Involving Gaps and Weights, II (1998) (12)
A variation on a theme of Sylvester - a smoother road to Göllnitz's (Big) theorem (1999) (12)
ON THE ASYMPTOTIC BEHAVIOR OF LARGE PRIME FACTORS OF INTEGERS (1979) (12)
A study of the moments of additive functions using laplace transforms and sieve methods (1985) (11)
Asymptotic estimates of sums involving the Moebius function (1982) (11)
Partitions, Q-series, and modular forms (2012) (11)
Asymptotic estimates of sums involving the Moebius function. II (1982) (11)
Multiplicative Functions and Small Divisors, II (1989) (11)
New Weighted Rogers-Ramanujan Partition Theorems and their Implications (2000) (11)
Finite Simple Groups of Bounded Subgroup Chain Length (2000) (10)
The quintuple product identity and shifted partition functions (1996) (10)
On certain irrational values of the logarithm (1979) (10)
On the Modified Convergence of Some Continued Fractions of Rogers-Ramanujan Type (1994) (9)
Surveys in number theory (2008) (8)
The dual of Göllnitz’s (big) partition theorem (2015) (8)
A Quartic Key Identity for a Partition Theorem of Göllnitz (1999) (8)
Some new observations on the Göllnitz-Gordon and Rogers-Ramanujan identities (1995) (8)
On arithmetic functions and divisors of higher order (1977) (7)
Analysis of a generalized Lebesgue identity in Ramanujan’s Lost Notebook (2012) (7)
A double bounded key identity for Gollnitz's (BIG) partition theorem (2000) (7)
A Double Bounded Version of Schur's Partition Theorem (2000) (7)
Quadratic and higher degree forms (2013) (6)
Moments of additive functions and sieve methods (1984) (6)
Number Theory, Madras 1987 (1989) (5)
A four parameter generalization of Göllnitz's (big) partition theorem (2000) (5)
Weighted partition identities and applications (1996) (5)
Variants of classical q-hypergeometric identities and partition implications (2013) (5)
Revisiting the Riemann Zeta function at positive even integers (2017) (5)
Multiplicative functions and Brun's sieve (1988) (5)
Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study (2012) (5)
Ramanujan: Letters and Commentary, by Bruce C. Berndt and Robert A. Rankin (1996) (4)
Contributions to number theory (1973) (4)
A multi-dimensional extension of Sylvester’s identity (2017) (4)
The Nesin Mathematics Village in Turkey (2015) (3)
Reflections on Paul Erdős on His Birth Centenary (2015) (3)
Additive functions and special sets of integers (1982) (3)
On the decomposition of n! into prime powers (1977) (3)
Srinivasa Ramanujan : Going Strong at 125 , Part (2012) (3)
New concepts in arithmetic functions (1975) (3)
Partial Theta Identities of Ramanujan , Andrews , and Rogers-Fine Involving the Squares (2013) (2)
The local distribution of the number of small prime factors: variation of the classical theme (2018) (2)
A Limiting form of the q-Dixon 4φ3 Summation and Related Partition Identities (2002) (2)
Srinivasa Ramanujan: going strong at 125, Part II (2012) (2)
An Invitation to the Rogers-Ramanujan Identities (2020) (2)
Ramanujan 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5--7, 2012, University of Florida, Gainesville, Florida (2014) (1)
Schmidt-type theorems via weighted partition identities (2022) (1)
Euler’s Partition Theorem and Refinements Without Appeal to Infinite Products (2020) (1)
A FUNDAMENTAL BUT UNEXPLOITED PARTITION INVARIANT (Number Theory and its Applications) (1998) (1)
Contributions to Number theory [MatSciRep:74 - A] (1971) (1)
The First SASTRA Ramanujan Prizes (2013) (1)
The Discovery and Rediscovery of Mathematical Genius—A Review of “The Man Who Knew Infinity: A Life of the Genius Ramanujan” (2021) (1)
Number theory : proceedings of the 4th Matscience Conference held at Ootacamund, India, January 5-10, 1984 (1985) (0)
List of Publications of Alladi Ramakrishnan (2010) (0)
Royal Society Conference and Publication for the Centenary of Srinivasa Ramanujan’s Election as FRS (2021) (0)
Reviews (2003) (0)
Genius Whom the Gods Loved—A Review of “Srinivasa Ramanujan: The Lost Notebook and Other Unpublished Papers” (2013) (0)
Preface (2012) (0)
On the work of Basil Gordon (2006) (0)
Combinatory Analysis 2018: In Honor of George Andrews’ 80th Birthday (2019) (0)
J.E. Littlewood: Ramanujan’s Contemporary and Hardy’s Collaborator (2021) (0)
Alladi Ramakrishnan’s Theoretical Physics Seminar (2010) (0)
Partitions with Non-Repeating Odd Parts and Combinatorial Identities (2015) (0)
Preface (2016) (0)
The Legacy of Dick Askey (1933–2019) (2022) (0)
Number theory, Madras 1987 : proceedings of the International Ramanujan Centenary Conference, held at Anna University, Madras, India, Dec. 21, 1987 (1989) (0)
L.J. Rogers: A Contemporary of Ramanujan (2013) (0)
J.J. Sylvester: Ramanujan’s Illustrious Predecessor (2013) (0)
Solitude Is Conducive to Work and Contemplation (2021) (0)
The Ramanujan Journal: Its Conception, Need and Place (2013) (0)
Ramanujan’s Growing Influence (2021) (0)
Evariste Galois: Founder of Group Theory (2021) (0)
Analysis of a generalized Lebesgue identity in Ramanujan’s Lost Notebook (2012) (0)
A Review of “Ramanujan: Letters and Commentary” (2013) (0)
Series and polynomial representations for weighted Rogers-Ramanujan partitions and products modulo 6 (2007) (0)
Leonhard Euler: Most Prolific Mathematician in History (2013) (0)
Overseas Trips of Alladi Ramakrishnan (2010) (0)
The Alladi Diary (2019) (0)
The dual of Göllnitz’s (big) partition theorem (2014) (0)
In Memoriam: Freeman Dyson (1923–2020) (2021) (0)
An Invitation to the Rogers – Ramanujan Identities Reviewed by Krishnaswami Alladi (2019) (0)
Ramanujan: The Second Century (2021) (0)
Niels Henrik Abel: Norwegian Mathematical Genius (2021) (0)
List of PhD Students of Alladi Ramakrishnan (2010) (0)
Srinivasa Ramanujan: Going Strong at 125 (2021) (0)
APPROXIMATION OF IRRATIONALS WITH FAREY FIBONACCI FRACTIONS (2010) (0)
Robert Rankin: Scottish Link with Ramanujan (2013) (0)
Remembering Basil Gordon, 1931-2012 (2013) (0)
A Pilgrimage to Ramanujan’s Hometown (2013) (0)
My Association and Collaboration with George Andrews (2020) (0)
Ramanujan's legacy: the work of the SASTRA prize winners† (2019) (0)
Telegrams Received for the MATSCIENCE Inauguration (2010) (0)
Ramanujan in Mauritius (2021) (0)
P.A. MacMahon: Ramanujan’s Distinguished Contemporary (2021) (0)
Reflections on Shreeram Abhyankar (2019) (0)
Reflections on Paul Erdős on His Birth Centenary, Part II (2015) (0)
G. N. Watson: First to Investigate the Mock Theta Functions (2021) (0)
ay 2 00 2 A limiting form of the q − Dixon 4 φ 3 summation and related partition identities by (2008) (0)
Ramanujan and Partitions (2021) (0)
On an additive function on the set of ideals of an arbitrary number field (2006) (0)
Fermat and Ramanujan: A Comparison (2013) (0)
Number theory : proceedings of the Third Matscience Conference held at Mysore, India, June 3-6, 1981 (1982) (0)
Combinatory analysis : dedicated to George Andrews (2013) (0)
Preface (2014) (0)
The SASTRA Ramanujan Prize: Its Origins and Its Winners (2019) (0)
Contributions of Alladi Ramakrishnan to the Mathematical Sciences (2010) (0)
The Sastra Ramanujan Prize: Its Origins and Its Winners. (2021) (0)
Maryna Viazovska to Receive the 2017 Sastra Ramanujan Prize (2017) (0)
Legendre polynomials and irrational numbers[MatSciRep: 100] (1979) (0)
Review of the Movie on the Mathematical Genius Ramanujan (2021) (0)
Legendre polynomials and irrational numbers (1979) (0)
Analytic and elementary number theory : a tribute to mathematical legend Paul Erdös (1998) (0)
Issai Schur: Ramanujan’s German Contemporary (2021) (0)
Combinatory Analysis 2008 : Partitions , q-series , and Applications (1998) (0)
VOCAL AND INSTRUMENTAL RENDERINGS IN CARNATIC MUSIC - A COMPARISON* (2010) (0)
Erdös and Ramanujan: Legends of Twentieth Century Mathematics (2013) (0)
C.G.J. Jacobi: Algorist par-excellence (2021) (0)
Major Progress on a Problem of Ramanujan (2021) (0)
Sets generated by arithmetic sequences (1975) (0)
Ramanujan and π (2021) (0)
ASYMPTOTIC BEHAVIOR OF LARGE PRIME FACTORS (2001) (0)
The distribution of additive functions in special sets of integers (1989) (0)
A Review of “Partition: A Play on Ramanujan” (2013) (0)
A Review of “Ramanujan: Essays and Surveys” (2021) (0)
My Mathematical Universe (2022) (0)
Analytic and Elementary Number Theory (1998) (0)
Book Review: An Invitation to the Rogers–Ramanujan Identities (2020) (0)
Preface (2013) (0)
Moments of additive functions and special sets (1987) (0)
Ramanujan: An Estimation (2021) (0)
The local distribution of the number of small prime factors: variation of the classical theme (2019) (0)
Variants of classical q-hypergeometric identities and partition implications (2012) (0)

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Krishnaswami Alladi's Published Works

Published Works

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What Schools Are Affiliated With Krishnaswami Alladi?

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