Sergei Stepanov

Sergei Stepanov 's AcademicInfluence.com Rankings

Sergei Stepanov

Mathematics

#7299

World Rank

#9948

Historical Rank

Measure Theory

#4815

World Rank

#5638

Historical Rank

mathematics Degrees

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Mathematics

Why Is Sergei Stepanov Influential?

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According to Wikipedia, Sergei Aleksandrovich Stepanov is a Russian mathematician, specializing in number theory. He is known for his 1969 proof using elementary methods of the Riemann hypothesis for zeta-functions of hyperelliptic curves over finite fields, first proved by André Weil in 1940–1941 using sophisticated, deep methods in algebraic geometry.

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Sergei Stepanov '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

Diophantine equations over function fields (1981) (110)
Arithmetic of algebraic curves (1994) (80)
ON THE NUMBER OF POINTS OF A HYPERELLIPTIC CURVE OVER A FINITE PRIME FIELD (1969) (58)
Codes on Algebraic Curves (1999) (24)
An elementary proof of the Hasse-Weil theorem for hyperelliptic curves (1972) (16)
Elementary method in the theory of congruences for a prime modulus (1970) (14)
Character sums and coding theory (1996) (12)
Algorithms to Construct Normal Bases of Cyclic Number Fields (1993) (11)
The number of irreducible polynomials of a given form over a finite field (1987) (11)
AN ESTIMATION OF KLOOSTERMAN SUMS (1971) (11)
On vector invariants of the symmetric group (1996) (11)
ON THE CONSTRUCTION OF A PRIMITIVE NORMAL BASIS IN A FINITE FIELD (1990) (11)
A new class of quaternary codes (2006) (10)
On the construction of primitive elements and primitive normal bases in a finite field (1991) (8)
On lower bounds of sums of characters over the finite fields (1992) (8)
Codes on fibre products of hyperelliptic curves (1997) (8)
Fibre products, character sums and geometric Goppa codes (1998) (5)
Fibre products of hyperelliptic curves and geometric Goppa codes (1997) (4)
Vector invariants of symmetric groups in prime characteristic (2000) (4)
CONGRUENCES IN TWO UNKNOWNS (1972) (3)
On Structure Complexity of Normal Basis of Finite Field (1987) (3)
Polynomial invariants of finite groups over fields of prime characteristics (1999) (3)
A new class of nonlinear Q-ary codes (2006) (3)
BRIEF COMMUNICATIONS: On the number of irreducible polynomials in Fq[x] of special form (1985) (2)
Rational trigonometrical sums along a curve (1987) (2)
Counting Points on Curves over Finite Fields (1999) (2)
Nonlinear q-ary codes with large code distance (2017) (2)
A new class of nonlinear sensary codes (2006) (2)
Transcendence bases of the algebra of vector invariants for a symmetric group (1999) (2)
Constructions and Properties (1999) (1)
Estimation of Weyl Sums with Prime Denominator (1970) (1)
Codes on fibre products of Artin–Schreier curves (2001) (1)
Number theory and its applications : proceedings of a summer school at Bilkent University (1999) (1)
An elementary method in algebraic number theory (1978) (1)
Curves over a Finite Field (1999) (1)
Proof of the davenport-hasse relations (1980) (1)
Rational trigonometric sums on “algebraic varieties” (1986) (1)
CERTAIN SINGULARITIES OF MGD GENERATOR PERFORMANCE AT LARGE HALL NUMBERS (1965) (0)
Nonlinear codes from modified Butson–Hadamard matrices (2006) (0)
Classical Modular Curves (1999) (0)
On the structure of Artin -functions (2014) (0)
INTEGRAL POINTS ON CURVES OF GENUS p > 1 (2017) (0)
Nonlinear q-ary codes with large code distance (2017) (0)
REMARK ON MY ARTICLE "ESTIMATION OF WEYL SUMS WITH PRIME DENOMINATOR" (1971) (0)
Fibre products of superelliptic curves and codes therefrom (1997) (0)
Bounds on Codes (1999) (0)
Reductions of Modular Curves (1999) (0)
An estimate of incomplete multiplicative character sum of polynomials (1992) (0)
Examples and Constructions (1999) (0)
Reports read at the general meeting of the mathematics section of the academy of sciences of the USSR (1977) (0)
Method of orbit sums in the theory of modular vector invariants (2006) (0)
Orbit Sums and Modular Vector Invariants (2008) (0)
Codes and Their Parameters (1999) (0)
A new class of nonlinear quinary codes (2005) (0)
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 33 , Number 2 , April 1996 Arithmetic of algebraic curves (1996) (0)
Decoding Geometric Goppa Codes (1999) (0)
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (1996) (0)

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Why Is Sergei Stepanov Influential?

Sergei Stepanov 's Published Works

Published Works

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Sergei Stepanov 's AcademicInfluence.com Rankings