Sarvadaman Chowla

Sarvadaman Chowla's AcademicInfluence.com Rankings

Sarvadaman Chowla

Mathematics

#939

World Rank

#1636

Historical Rank

Number Theory

#39

World Rank

#62

Historical Rank

Measure Theory

#515

World Rank

#726

Historical Rank

mathematics Degrees

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Mathematics

Why Is Sarvadaman Chowla Influential?

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According to Wikipedia, Sarvadaman D. S. Chowla was an Indian American mathematician, specializing in number theory. Early life He was born in London, since his father, Gopal Chowla, a professor of mathematics in Lahore, was then studying in Cambridge. His family returned to India, where he received his master's degree in 1928 from the Government College in Lahore. In 1931 he received his doctorate from the University of Cambridge, where he studied under J. E. Littlewood.

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Sarvadaman Chowla'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

On Epstein's Zeta Function (I). (1949) (276)
Theorems in the additive theory of numbers (1962) (198)
On Difference Sets. (1949) (179)
The Riemann hypothesis and Hilbert's tenth problem (1966) (174)
On a problem of arrangements (1939) (149)
On Epstein's Zeta-function. (1967) (135)
Congruence properties of partitions (1934) (122)
On Recursions Connected With Symmetric Groups I (1951) (106)
On the Maximal Number of Pairwise Orthogonal Latin Squares of a Given Order (1960) (99)
On some infinite series involving arithmetical functions (1937) (96)
On the divisibility of the class number of quadratic fields (1955) (90)
Some problems of diophantine approximation (I) (1931) (75)
The Class-Number of Real Quadratic Number Fields (1952) (67)
On some infinite series involving arithmetical functions (II) (1937) (63)
ON THE CLASS NUMBER OF REAL QUADRATIC FIELDS. (1961) (59)
AN EXTENSION OF HEILBRONN'S CLASS-NUMBER THEOREM (1934) (54)
The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation (1970) (52)
Congruence properties of apèry numbers (1980) (48)
A Theorem on the Distribution of the Values of L-Functions (1951) (45)
Contributions to the analytic theory of numbers (1932) (44)
On the number of zeros of diagonal cubic forms (1977) (42)
Class numbers and quadratic residues (1976) (39)
The Power Series Coefficients of ζ(s) (1955) (39)
On the Error Terms in some Asymptotic Formulae in the Theory of Numbers (1) (1930) (36)
Improvement of a Theorem of Linnik and Walfisz (1948) (35)
On the class-number of the maximal real subfield of a cyclotomic field. (1965) (34)
On the mod p 2 determination of ((p-1)/2 (p-1)/4) (1986) (34)
On the mod p2 determination of ((p − 1)4(p − 1)2) (1986) (30)
Some special trigonometrical series related to the distribution of prime numbers (1963) (27)
Note on hypothesis K of hardy and littlewood (1935) (26)
The Riemann zeta and allied functions (1952) (26)
The Class Number of the Cyclotomic Field. (1949) (24)
Some Applications of a Method of A. Selberg. (1965) (22)
Some infinite series (1935) (22)
On the Largest Prime Divisors of Numbers (1947) (20)
The collected papers of Sarvadaman Chowla (1999) (18)
A note on the construction of finite galois fields GF(pn) (1966) (17)
On Discriminants of Binary Quadratic Forms with a Single Class in Each Genus (1954) (17)
On Sums Involving Quadratic Characters (1967) (17)
The Diophantine equation 2 n+2 − 7 = x 2 and related problems (1959) (16)
On the Maximum Value of the Number of Partitions of n into k Parts (1942) (15)
On a trigonometric sum (1932) (15)
CONGRUENCE PROPERTIES OF RAMANUJAN'S FUNCTION ⌖(n) (1947) (14)
A note on the class-numbers of algebraic number fields (1956) (14)
ON GAUSSIAN SUMS. (1962) (14)
On the number of conjugacy classes in SL(2,Z) (1980) (13)
The Greatest Prime Factor of x2 (1935) (13)
Note on Dirichlet's L-functions (1935) (12)
The Class Number of the Cyclotomic Field (1951) (12)
The diophantine equation 2ⁿ⁺²-7=² and related problems (1959) (12)
A NOTE ON RAMANUJAN'S FUNCTION ⌖(n) (1947) (12)
Determination of the Stufe of certain cyclotomic fields (1970) (11)
On Euler's polynomial (1981) (11)
Problems on periodic simple continued fractions. (1972) (11)
A further note on the class number of real quadratic fields (1962) (11)
Congruence properties of Ramanujan’s function () (1947) (10)
A new proof of a theorem of Siegel (1950) (10)
The Density of Redugible Integers (1949) (10)
Zero sums of the Legendre symbol (1974) (9)
The Last Entry in Gauss's Diary. (1949) (9)
A Theorem on Irrational Indefinite Quadratic Forms (1934) (9)
On Weyl's inequality and Waring's problem for cubes (1961) (8)
The least prime quadratic residue and the class number (1986) (8)
The class-number of binary quadratic forms (1934) (8)
An "exact" formula for the m-th Bernoulli number (1972) (8)
A theorem of Erdös (1937) (7)
A note on the class number of real quadratic fields (1960) (7)
On the number of positive integers ≦ x all of whose prime factors are ≦ y (1955) (7)
On sums of powers (1934) (7)
Linear recurrences of order two (1961) (7)
Series for 1/K and 1/K2 (7)
Remarks on class-invariants and related topics (1966) (7)
On the coefficients cn in the expansion . (1977) (6)
The number of zeroes of x3 + y3 + cz3 in certain finite fields. (1978) (6)
Averages of character sums (1950) (6)
Mellin's formula and some combinatorial identities (1976) (6)
On the Sum of a Certain Infinite Series (5)
The Residue of Ramanujan's Function τ(n) to the Modulus 28 (1947) (5)
Diophantine Equations in Cyclotomic Fields (1968) (5)
A new congruence property of Ramanujan's function $\tau \left( n \right)$ (1947) (5)
On a theorem of Müller and Carlitz (1970) (5)
The representation of a number as a sum of four squares and a prime (1935) (5)
Some Applications of the Riemann Zeta, and Allied Functions (5)
ℒ-series and elliptic curves (1977) (5)
Periodic Simple Continued Fractions (1931) (4)
On a Theorem of Walfisz (1947) (4)
The greatest prime factor of x 2 +1 (1934) (4)
On thek-analogue of a result in the theory of the Riemann zeta function (1934) (4)
Some remarks on L-functions and class numbers (1976) (4)
The Differential Equations Satisfied by Certain Functions (1944) (4)
The relation between the class number and the distribution of primes (1950) (3)
The representation of a large number as a sum of “almost equal” squares (1937) (3)
Some problems of elementary number theory. (1966) (3)
A note on Bernoulli numbers (1980) (3)
Leudesdorf's generalization of Wolstenholme's theorem (1934) (3)
On Hirzebruch sums and a theorem of Schinzel (1973) (3)
The reckoning of certain quartic and octic Gauss sums (1977) (3)
ON COMPLETE RESIDUE SETS (1948) (3)
Hypothesis K of Hardy and Littlewood (1936) (3)
On Bernoulli numbers, II (1982) (3)
On x3 + y3 = D (1982) (2)
Note on a Trignometric Sum (1930) (2)
The Equivalence of Two Conjectures in the Theory of Numrers (1953) (2)
A note on the Hecke hypothesis and the determination of imaginary quadratic fields with class-number 1 (1974) (2)
Note on the nonvanishing of L(1) (1961) (2)
On the integral order, (mod p) of quadratics x 2 + ax + b with applications to the construction of minimum functions for GF(p 2 ) and to some number theory results (1944) (2)
On kth power residues (1978) (2)
The Heegner-Stark-Baker-Deuring-Siegel Theorem. (1970) (2)
On a conjecture of marshall Hall. (1966) (2)
On polynomials all of whose roots lie on the unit circle. (1966) (2)
A note on the hypothesis that L(s, χ) > 0 for all real non-principal characters χ and for all s > 0 (1974) (2)
Remark on two theorems of Siegel (1964) (1)
On integer roots of the unit matrix (1946) (1)
Leopoldt’s criterion for real quadratic fields with class-number 1 (1970) (1)
Some Formulae of the Gauss Sum Type (II) (1)
Remarks on Equations Related to Fermat’s Last Theorem (1982) (1)
On sums of powers (II) (1935) (1)
On the integer points on some special hyper-elliptic curves over a finite field (1976) (1)
An extension of heilbronn’s class-number theorem (1934) (1)
On algebraic differential equations satisfied by some elliptic functions II (1984) (1)
A new solution of the 10–21 problem (1939) (1)
Bounds on the N-th Power Residues (Mod P) (1969) (1)
Note on Waring’s problem (1936) (1)
A note on Ramanujan's function tau(n) (1947) (1)
A Generalization of a Theorem of Wolstenholme (1930) (1)
Congruence properties of class numbers of quadratic fields (1974) (1)
THE NUMBER OF REPRESENTATIONS OF A NUMBER AS. A SUM OF n NON-NEGATIVE nTH POWERS (1936) (1)
A Theorem in Arithmetic (1934) (1)
Combinatorial Problems (1950) (1)
Minimum functions in Galois fields (1945) (1)
Formulae for the units and class-numbers of real quadratic fields. (1968) (1)
Note on the units of a real quadratic field (1965) (1)
On the roots of a well-known congruence (1945) (1)
The greatest prime factor of x2+1 (1934) (1)
The greatest prime factor of x2−1 (1934) (1)
Heilbronn’s class-number theorem (1934) (1)
On the diophantine equation 27y2 + 4x3 = M. (1977) (1)
Heilbronn’s class-number theorem (II) (1934) (1)
A definite integral (1939) (0)
Some Properties of Eulerian Numbers (0)
A property of numbers (1937) (0)
On a certain arithmetical function (1935) (0)
The number of lattice points in an $n$-dimensional tetrahedron (1956) (0)
Note on hypothesisK of Hardy and Littlewood (1936) (0)
On the Greatest Prime Factor of a Certain Product (0)
The Method of Trigonometrical Sums in the Theory of Numbers . I. M. Vinogradov. Trans. by K. F. Roth and Anne Davenport. Interscience, New York-London, 1954. x + 180 pp. $5. (1955) (0)
A theorem on sums of powers with applications to the additive theory of numbers (1935) (0)
On the coefficients c n in the expansion x Π ∞ 1 (1−x n ) 2 (1−x 11 n ) 2 = ∑ ∞ 1 c n x n (1977) (0)
Auluck's generalization of the simson line property (1937) (0)
On Y2 = X3 + k and the Thue rank of cubic curves (1984) (0)
"Metodo rapido" for finding real quadratic fields of class-number 1. (1973) (0)
Remarks on Warings Theorem (1930) (0)
On a relation between two conjectures of the theory of numbers (1936) (0)
On the diophantine equation 27y 2 + 4x 3 = M (1977) (0)
Pillai’s exact formula for the numberg(n) in Waring’s problem (1936) (0)
Congruence properties of the number of solutions of some equations. (1978) (0)
Application of a theorem of Hasse to a problem on diophantine equations. (1972) (0)
A REMARK ON A CONJECTURE OF C. L. SIEGEL. (1964) (0)
REHARKS ON EQUATIONS RELATED TO FER!J',AT' S LAST THEOREM (1982) (0)
A Theorem on Characters (1934) (0)
A remark on certain Hecke L-series which are non-negative on the real axis (1976) (0)
Some results and problems in number theory (1971) (0)
Irrational indefinite quadratic forms (1935) (0)
Cyclotomy and combinatorial problems (1969) (0)
A theorem on sums of powers with applications to the additive theory of numbers (III) (1935) (0)
A remark on g (n) (1938) (0)
Pillai’s exact formula for the numberg(n) in waring’s problem (1936) (0)
Pillai’s exact formulæ for the numberg(n) in waring’s problem (1936) (0)
On the difference of cubes (mod p) (1980) (0)
An idea of tate-dwork for the “hasse invariant” applied to a classical theorem of Fermat (1970) (0)
A theorem on sums of powers with applications to the additive theory of numbers (II) (1935) (0)
The Falsity of a Certain Asymptotic Relation (1960) (0)
A remark on g (n) (1938) (0)
On x 3 + y 3 = D (1982) (0)
On character sums and the non-vanishing for s > 0 of Dirichlet L-series belonging to real odd characters χ (1977) (0)
On sums of powers (1935) (0)
A Generalization of Meyers Theorem on Indefinite Quadratic forms in Five or More Variables (1961) (0)
The lattice points in a hypersphere (1935) (0)
Corrigenda: Series for 1/k and 1/k2. (1929) (0)
On a trigonometric sum (1937) (0)

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Published Works

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What Schools Are Affiliated With Sarvadaman Chowla?

Sarvadaman Chowla's AcademicInfluence.com Rankings