Abstract. Given any complex number a, we prove that there are infinitely many simple roots of the equation ζ(s) = a with arbitrarily large imaginary part. Besides, we give a heuristic interpretation of a certain regularity of the graph of the curve t 7 → ζ (
In a recent paper [O. Bärwald, R.W. Gebert, M. Günaydin and H. Nicolai, preprint KCL-MTH-97-22, IASS...
AbstractThis paper is concerned with equations αx = R(x, y) in unknowns x, y ∈ Z. Here α is a nonzer...
I consider an algebraic problem that arises in theories dual to massive scalar fields in N spacetime...
Drag the locator, which represents the complex number z. The gray dots represent the n solutions of...
A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences...
Includes bibliographical references (leaf 34)The problem that has been suggested is to place or find...
Complex numbers, roots of a polynomial, Argument PrincipleIn the complex plane, consider the image o...
Imagine a sphere with its equator inscribed in an equilateral triangle. This Saturn-like figure will...
Let E/F be an elliptic curve defined over a number field F. Suppose that E has complex multiplicatio...
What can we say about the variation of the rank in a family of elliptic curves We know in particula...
The graph of a polynomial with roots c_1, c_2, c_3... meets the x axis at those roots. At a simple r...
<正> Many results on the arithmetic theory of elliptic curves have been obtained for elliptic c...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
AbstractAn explicit criterion for the determination of the numbers and multiplicities of the real/im...
The expected number of real roots of a multihomogeneous system of polynomial equation
In a recent paper [O. Bärwald, R.W. Gebert, M. Günaydin and H. Nicolai, preprint KCL-MTH-97-22, IASS...
AbstractThis paper is concerned with equations αx = R(x, y) in unknowns x, y ∈ Z. Here α is a nonzer...
I consider an algebraic problem that arises in theories dual to massive scalar fields in N spacetime...
Drag the locator, which represents the complex number z. The gray dots represent the n solutions of...
A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences...
Includes bibliographical references (leaf 34)The problem that has been suggested is to place or find...
Complex numbers, roots of a polynomial, Argument PrincipleIn the complex plane, consider the image o...
Imagine a sphere with its equator inscribed in an equilateral triangle. This Saturn-like figure will...
Let E/F be an elliptic curve defined over a number field F. Suppose that E has complex multiplicatio...
What can we say about the variation of the rank in a family of elliptic curves We know in particula...
The graph of a polynomial with roots c_1, c_2, c_3... meets the x axis at those roots. At a simple r...
<正> Many results on the arithmetic theory of elliptic curves have been obtained for elliptic c...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
AbstractAn explicit criterion for the determination of the numbers and multiplicities of the real/im...
The expected number of real roots of a multihomogeneous system of polynomial equation
In a recent paper [O. Bärwald, R.W. Gebert, M. Günaydin and H. Nicolai, preprint KCL-MTH-97-22, IASS...
AbstractThis paper is concerned with equations αx = R(x, y) in unknowns x, y ∈ Z. Here α is a nonzer...
I consider an algebraic problem that arises in theories dual to massive scalar fields in N spacetime...
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