AbstractBulygin in 1914 showed how one can find the number of solutions of a positive integer as the sum of an even number of squares by using known formulas from the theory of elliptic functions. The purpose of the present paper is to give a sketch of Bulygin's method
AbstractWe give a variety of results involving s(n), the number of representation of n as a sum of t...
AbstractLet f(n,m) be the maximum of the sum of the squares of degrees of a graph with n vertices an...
It was shown that numerous (known and new) results involving various special functions, such as the ...
AbstractBulygin in 1914 showed how one can find the number of solutions of a positive integer as the...
For Dirichlet characters $\chi$ mod $k$ where $k\geq 3$, we here give a computable formula for evalu...
AbstractLet a(n) be an arithmetical function satisfying some conditions and write ∑′n⩽xa(n)=main ter...
AbstractGauss' original proof for the value of Gaussian sums relies on a summation of Gaussian polyn...
Derivative-matching approximations are constructed as power series built from functions. The method ...
AbstractIn this paper we find all integer points of the elliptic curve y2 = x3 − 4x + 1. We also sho...
AbstractIn a recent issue of the American Mathematical Monthly, H. E. Thomas, Jr. proposed the follo...
AbstractRecently, B. C. Berndt, S. Bhargava and F. Garvan provided the first proof to an identity of...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
In this note we wish to record certain finite sums involving the greatest integer function E(x), whi...
AbstractWe prove that the equation xn + (x + a)n = y2n + (y + b)2n with a, b odd has only finitely m...
AbstractIn this note we establish a new transformation formula for the generalized hypergeometric fu...
AbstractWe give a variety of results involving s(n), the number of representation of n as a sum of t...
AbstractLet f(n,m) be the maximum of the sum of the squares of degrees of a graph with n vertices an...
It was shown that numerous (known and new) results involving various special functions, such as the ...
AbstractBulygin in 1914 showed how one can find the number of solutions of a positive integer as the...
For Dirichlet characters $\chi$ mod $k$ where $k\geq 3$, we here give a computable formula for evalu...
AbstractLet a(n) be an arithmetical function satisfying some conditions and write ∑′n⩽xa(n)=main ter...
AbstractGauss' original proof for the value of Gaussian sums relies on a summation of Gaussian polyn...
Derivative-matching approximations are constructed as power series built from functions. The method ...
AbstractIn this paper we find all integer points of the elliptic curve y2 = x3 − 4x + 1. We also sho...
AbstractIn a recent issue of the American Mathematical Monthly, H. E. Thomas, Jr. proposed the follo...
AbstractRecently, B. C. Berndt, S. Bhargava and F. Garvan provided the first proof to an identity of...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
In this note we wish to record certain finite sums involving the greatest integer function E(x), whi...
AbstractWe prove that the equation xn + (x + a)n = y2n + (y + b)2n with a, b odd has only finitely m...
AbstractIn this note we establish a new transformation formula for the generalized hypergeometric fu...
AbstractWe give a variety of results involving s(n), the number of representation of n as a sum of t...
AbstractLet f(n,m) be the maximum of the sum of the squares of degrees of a graph with n vertices an...
It was shown that numerous (known and new) results involving various special functions, such as the ...
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