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Elliptic curve and Modular form

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Elliptic curve and Modular form

Elliptic curve vs. Modular form

In mathematics, an elliptic curve is a plane algebraic curve defined by an equation of the form which is non-singular; that is, the curve has no cusps or self-intersections. In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition.

Similarities between Elliptic curve and Modular form

Elliptic curve and Modular form have 21 things in common (in Unionpedia): Abelian variety, Absolute convergence, Absolute value, Algebraic geometry, Compact space, Complex number, Elliptic function, Functional equation, Fundamental pair of periods, Inventiones Mathematicae, J-invariant, Jean-Pierre Serre, Mathematics, Meromorphic function, Number theory, Riemann surface, Springer Science+Business Media, Torus, Upper half-plane, Weierstrass's elliptic functions, Weil conjectures.

Abelian variety

In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions.

Abelian variety and Elliptic curve · Abelian variety and Modular form · See more »

Absolute convergence

In mathematics, an infinite series of numbers is said to converge absolutely (or to be absolutely convergent) if the sum of the absolute values of the summands is finite.

Absolute convergence and Elliptic curve · Absolute convergence and Modular form · See more »

Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

Absolute value and Elliptic curve · Absolute value and Modular form · See more »

Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

Algebraic geometry and Elliptic curve · Algebraic geometry and Modular form · See more »

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

Compact space and Elliptic curve · Compact space and Modular form · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Elliptic curve · Complex number and Modular form · See more »

Elliptic function

In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions.

Elliptic curve and Elliptic function · Elliptic function and Modular form · See more »

Functional equation

In mathematics, a functional equation is any equation in which the unknown represents a function.

Elliptic curve and Functional equation · Functional equation and Modular form · See more »

Fundamental pair of periods

In mathematics, a fundamental pair of periods is an ordered pair of complex numbers that define a lattice in the complex plane.

Elliptic curve and Fundamental pair of periods · Fundamental pair of periods and Modular form · See more »

Inventiones Mathematicae

Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media.

Elliptic curve and Inventiones Mathematicae · Inventiones Mathematicae and Modular form · See more »

J-invariant

In mathematics, Felix Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for defined on the upper half-plane of complex numbers.

Elliptic curve and J-invariant · J-invariant and Modular form · See more »

Jean-Pierre Serre

Jean-Pierre Serre (born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory.

Elliptic curve and Jean-Pierre Serre · Jean-Pierre Serre and Modular form · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Elliptic curve and Mathematics · Mathematics and Modular form · See more »

Meromorphic function

In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all of D except for a discrete set of isolated points, which are poles of the function.

Elliptic curve and Meromorphic function · Meromorphic function and Modular form · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

Elliptic curve and Number theory · Modular form and Number theory · See more »

Riemann surface

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.

Elliptic curve and Riemann surface · Modular form and Riemann surface · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Elliptic curve and Springer Science+Business Media · Modular form and Springer Science+Business Media · See more »

Torus

In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

Elliptic curve and Torus · Modular form and Torus · See more »

Upper half-plane

In mathematics, the upper half-plane H is the set of complex numbers with positive imaginary part: The term arises from a common visualization of the complex number x + iy as the point (x,y) in the plane endowed with Cartesian coordinates.

Elliptic curve and Upper half-plane · Modular form and Upper half-plane · See more »

Weierstrass's elliptic functions

In mathematics, Weierstrass's elliptic functions are elliptic functions that take a particularly simple form; they are named for Karl Weierstrass.

Elliptic curve and Weierstrass's elliptic functions · Modular form and Weierstrass's elliptic functions · See more »

Weil conjectures

In mathematics, the Weil conjectures were some highly influential proposals by on the generating functions (known as local zeta-functions) derived from counting the number of points on algebraic varieties over finite fields.

Elliptic curve and Weil conjectures · Modular form and Weil conjectures · See more »

The list above answers the following questions

Elliptic curve and Modular form Comparison

Elliptic curve has 159 relations, while Modular form has 103. As they have in common 21, the Jaccard index is 8.02% = 21 / (159 + 103).

References

This article shows the relationship between Elliptic curve and Modular form. To access each article from which the information was extracted, please visit:

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