Kanakanahalli Ramachandra

Kanakanahalli Ramachandra's AcademicInfluence.com Rankings

Mathematics

#2962

World Rank

#4462

Historical Rank

Measure Theory

#2766

World Rank

#3304

Historical Rank

mathematics Degrees

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Mathematics

Kanakanahalli Ramachandra's Degrees

PhD Mathematics University of Mysore

Why Is Kanakanahalli Ramachandra Influential?

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According to Wikipedia, Kanakanahalli Ramachandra was an Indian mathematician working in both analytic number theory and algebraic number theory. Early career Ramachandra went to the Tata Institute of Fundamental Research , Bombay, for his graduate studies in 1958. He obtained his PhD from University of Mumbai in 1965; his doctorate was guided by K. G. Ramanathan.

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Kanakanahalli Ramachandra'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

Some applications of Kronecker's limit formulas (1964) (157)
Contributions to the theory of transcendental numbers (1968) (143)
Some problems of analytic number theory (1976) (103)
Some remarks on the mean value of the Riemann zetafunction and other Dirichlet series. III (1978) (86)
ON THE MEAN-VALUE AND OMEGA-THEOREMS FOR THE RIEMANN ZETA-FUNCTION (1995) (66)
On the frequency of Titchmarsh's phenomenon for ζ(s). II (1974) (64)
Lectures on transcendental numbers (1969) (63)
Fractional moments of the Riemann zeta-function (1997) (58)
On the frequency of titchmarsh’s phenomenon for ζ(s)—III (1977) (46)
Application of a Theorem of Montgomery and Vaughan to the Zeta‐Function (1975) (44)
On the frequency of Titchmarsh’s phenomenon for ζ(s)-VIII (1992) (36)
Some remarks on a theorem of montgomery and vaughan (1979) (34)
On the units of cyclotomic fields (1966) (34)
A Note on Numbers with a Large Prime Factor (1969) (33)
On gaps between numbers with a large prime factor. II (1973) (32)
On an asymptotic formula of Srinivasa Ramanujan (2003) (31)
On the error function in the asymptotic formula for the counting function of k-full numbers (1988) (28)
On Some Theorems of Littlewood and Selberg, I (1993) (27)
On Grimm's problem relating to factorisation of a block of consecutive integers. II. (1976) (27)
A SIMPLE PROOF OF THE MEAN FOURTH POWER ESTIMATE FOR ζ(1/2+it) and L(1/2+it,X) (1974) (21)
Progress towards a conjecture on the mean value of Titchmarsh series, III (1986) (20)
On the frequency of Titchmarsh’s phenomenon for ζ(s)-V (1988) (19)
On the number of integers n such that nd(n) ≤ x (1988) (17)
Some problems of analytic number theory III (1981) (15)
Hardy’s theorem for zeta-functions of quadratic forms (1996) (15)
Two remarks in prime number theory (1977) (15)
On the frequency of Titchmarsh's phenomenon for zeta( s)-V (1986) (14)
On Grimm's problem relating to factorisation of a block of consecutive integers. (1975) (14)
A NOTE TO A PAPER:"CONTRIBUTIONS TO THE THEORY OF TRANSCENDENTAL NUMBERS I,II (1983) (14)
On the zeros of a class of generalised Dirichlet series-X (1992) (13)
A NOTE ON NUMBERS WITH A LARGE PRIME FACTOR III (1971) (13)
Mean-value of the Riemann zeta-function and other remarks III (1983) (13)
Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon (1990) (10)
ON THE ZEROS OF A CLASS OF GENERALISED DIRICHLET SERIES VII (1991) (10)
Proof of some conjectures on the mean-value of Titchmarsh series — III (1992) (10)
A simple proof of the mean fourth power estimate for $\zeta (\frac{1}{2} + it)$ and $L (\frac{1}{2} + it, \chi )$ (1974) (10)
THE MEAN SQUARE OF THE RIEMANN ZETA-FUNCTION ON THE LINE σ=1 (1992) (9)
Lectures on on the mean-value and Omega-theorems for the Riemann zeta-function (1995) (9)
On the zeros of a class of generalised Dirichlet series-VI (1981) (8)
A note on Baker's method (1969) (8)
AN ALTERNATIVE APPROACH TO A THEOREM OF TOM MEURMAN (1990) (7)
SOME LOCAL CONVEXITY THEOREMS FOR THE ZETA-FUNCTION -LIKE ANALYTIC FUNCTIONS II (1988) (6)
On the zeros of a class of generalised Dirichlet series-XIV (1994) (6)
Notes on the Riemann zeta-function-IV (1999) (6)
On the zeros of the Riemann zeta-function and L-series (1977) (6)
On Riemann zeta-function and allied questions (1992) (6)
On series, integrals and continued fractions, III (2001) (6)
The place of an identity of Ramanujan in prime number theory (1976) (6)
An application of the Hooley-Huxley contour (1993) (6)
Ramanujan's lattice point problem, prime number theory and other remarks. (1996) (5)
Drug abuse in sports. (2012) (5)
On ideal-function-like functions (2003) (5)
A remark on a theorem of (2018) (5)
On the zeros of generalised Dirichlet series. V. (1978) (5)
NOTE ON A PAPER BY H.L MONTGOMERY(OMEGA THEOREMS FOR THE RIEMANN ZETA-FUNCTION) (1991) (5)
A lattice-point problem for norm forms in several variables (1969) (5)
Some new density estimates for the zeros of the Riemann zeta-function (1975) (5)
Effective and noneffective results on certain arithmetical functions (1980) (5)
On series integrals and continued fractions I (1981) (4)
Remark on factorials that are products of factorials (2010) (4)
Addendum to Ramachandra's paper "Some problems of analytic number theory, I" (1995) (4)
On some theorems of Littlewood and Selberg III (1991) (4)
Notes on the Prime Number Theorem-I (2000) (3)
CONTRIBUTIONS TO THE ERDOS-SZEMEREDI THEORY OF SIEVED INTEGERS (1980) (3)
On some theorems of Littlewood and Selberg, IV (1995) (3)
A LARGE VALUE THEOREM FOR ζ(s) (1995) (3)
Not every annular function is strongly annular. (1975) (3)
Two Remarks on a Result of Ramachandra (1974) (3)
A hybrid version of a theorem of Ingham (1985) (3)
A brief summary of some results in the analytic theory of numbers-II (1982) (3)
Theory of Numbers: A Textbook (2007) (3)
On the zeros of ζ(s)-a (1993) (3)
On the zeros of a class of generalised Dirichlet series—XI (1992) (3)
On a problem of Ivi\'c. (2000) (3)
On the zeros of a class of generalised Dirichlet series-XVIII (a few remarks on littlewood's theorem and Totchmarsh points) (1994) (2)
A large value theorem for $\zeta(s)$. (1995) (2)
Srinivasa Ramanujan (The inventor of the circle method) (22-12-1887 to 26-4-1920) (1987) (2)
Mean square of the Hurwitz zeta-function and other remarks (2004) (2)
ON THE ZEROS OF A CLASS OF GENERALISED DIRICHLET SERIES XVI (1994) (2)
On the zeros of a class of generalized Dirichlet series. (1975) (2)
Omega-theorems for the Hurwitz zeta-function (1989) (2)
On Riemann zeta-function and allied questions-II (1995) (2)
ON THE SUMS ∑Kj=1λjfj(pj) (1973) (2)
A remark on a theorem of A. E. Ingham. (2006) (2)
Mean-value of the Riemann zeta-function on the critical line (1984) (2)
On a Discrete Mean Value Theorem for ζj (1972) (1)
Notes on prime number theorem. II (2005) (1)
On the sums . (1973) (1)
A note to a paper by Ramachandra on transctndental numbers (1983) (1)
A remark on $\zeta(1+it).$ (1987) (1)
TITCHMARSH'S PHENOMENON FOR ζ(s) (1989) (1)
Hardy-Littlewood first approximation theorem for quasi $L$-functions (2004) (1)
Time-delay, energy-continuum, and systematics of particles (2003) (1)
On the class number of relative abelian fields. (1969) (1)
A Lemma in complex function theory I (1989) (1)
Some remarks on a lemma of A. E. Ingham (1998) (1)
On the zeros of a class of generalized Dirichlet series. II. (1975) (1)
Simplest, Quickest and Self-Contained Proof that1/2≤θ≤1(θ Being the Least Upper Bound of the Real Parts of the Zeros of ζ(s)) (1995) (1)
Visions Revisions. 2: Katha Regional Fiction (1999) (1)
Note on a paper by H. L. Montgomery - II (1991) (1)
A BRIEF REPORT ON THE ZEROS OF A CLASS OF GENERALISED DIRICHLET SERIES (1993) (1)
ON THE FUTURE OF RIEMANN HYPOTHESIS (1999) (1)
A generalization of the riemann zeta-function (1989) (1)
An asymptotic formula in additive number theory (1976) (1)
One more proof of Siegel's theorem (1980) (0)
Financial inclusion and government policies in India (2017) (0)
MUTUAL FUNDS - HEADING TOWARDS (2003) (0)
Financial inclusiveness in rural sector (2017) (0)
I am fifty-five years old (2013) (0)
On the zeros ofζ(1)(s) —a (on the zeros of a class of a generalized Dirichlet series — XVII) (1995) (0)
On jutila numbers (1975) (0)
On a method of Davenport and Heilbronn I. (1998) (0)
Mathematical Reminiscences: How to Keep the Pot Boiling (2013) (0)
Some unsolved problems in number theory (1997) (0)
A SIMPLE PROOF OF SIEGEL-TATUZAWA THEOREM (1990) (0)
A new identity. II (2000) (0)
ON AN ANALYTIC CONTINUATION OF ζ (s) (2015) (0)
WHEN IS IN = LOG10 (2N/N) CLOSE TO AN INTEGER ? (1994) (0)
A lattice-point problem for previous norm forms in several previous variables (1969) (0)
Addendum to my paper a brief summary of some results in the analytic theory of numbers (1982) (0)
On the frequency of Titchmarshs phenomenon for (<Emphasis Type="Italic">s</Emphasis>)-V (2006) (0)
MANY FAMOUS CONJECTURES ON PRIMES; MEAGRE BUT PRECIOUS PROGRESS OF A DEEP NATURE (1998) (0)
In the company of saints (1965) (0)
Addendum to the paper: On the sums (1973) (0)
Pythagoras’ theorem and similar triangles (2002) (0)
Problems and results on αp - βq (1996) (0)
A trivial remark on Goldbach conjecture (1989) (0)
An introduction to Trignometry (A new outlook) (2009) (0)
ANAESTHESIA FOR CONGENITAL LOBAR EMPHYSEMA. (1995) (0)
Some unsolved problems in number theory (1997) (0)
A Lemma in complex function theory II (2014) (0)
Addendum and corrigendum to my paper - "One more proof of Siegel's theorem" (1981) (0)
Addendum to the paper. On the zeros of a class of generalized Dirichlet series (1975) (0)
Замечание о факториалах, являющихся произведениями факториалов@@@Remark on Factorials that are Products of Factorials (2010) (0)
A note on recent papers of Ramachandra and Huxley (1976) (0)

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Kanakanahalli Ramachandra's Academic­Influence.com Rankings