AbstractLet L be an odd unimodular lattice of dimension n with shadow n−16. If min(L)⩾3 then dim(L)⩽46 and there is a unique such lattice in dimension 46 and no lattices in dimensions 44 and 45. To prove this, a shadow theory for theta series with spherical coefficients is developed
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn this short note, we discuss the Chebyshev's maximum principle in several variables. We sh...
We study the algebras of hermitian automorphic forms for the lattice $L_n=diag(1,1,\ldots,1,-1)$ and...
AbstractLet r(n) denote the number of integral ideals of norm n in a cubic extension K of the ration...
AbstractRains and Sloane established that the minimum of a unimodular Z-lattice in dimension 24m is ...
AbstractLet Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives...
AbstractIn the study of partition theory and q-series, identities that relate series to infinite pro...
AbstractLet Fnq be the n-dimensional vector space over the finite field Fq and let Gn be one of the ...
AbstractFor any integer n⩾3, by g(Zn⊕Zn) we denote the smallest positive integer t such that every s...
AbstractThis paper studies the permutation representation of a finite symplectic group over a prime ...
AbstractA quadratic Jacobi identity to the septic base is introduced and proved by means of modular ...
AbstractGiven a quadratic form and M linear forms in N+1 variables with coefficients in a number fie...
AbstractIn this article, we prove that there is no projective plane of order 12 admitting a collinea...
AbstractWe prove the algebraicity of the ratio of the Petersson norm of a holomorphic Hilbert modula...
AbstractWe present some properties of the distributions T of the form ∑i(δpi−δni), with ∑id(pi,ni)<∞...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn this short note, we discuss the Chebyshev's maximum principle in several variables. We sh...
We study the algebras of hermitian automorphic forms for the lattice $L_n=diag(1,1,\ldots,1,-1)$ and...
AbstractLet r(n) denote the number of integral ideals of norm n in a cubic extension K of the ration...
AbstractRains and Sloane established that the minimum of a unimodular Z-lattice in dimension 24m is ...
AbstractLet Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives...
AbstractIn the study of partition theory and q-series, identities that relate series to infinite pro...
AbstractLet Fnq be the n-dimensional vector space over the finite field Fq and let Gn be one of the ...
AbstractFor any integer n⩾3, by g(Zn⊕Zn) we denote the smallest positive integer t such that every s...
AbstractThis paper studies the permutation representation of a finite symplectic group over a prime ...
AbstractA quadratic Jacobi identity to the septic base is introduced and proved by means of modular ...
AbstractGiven a quadratic form and M linear forms in N+1 variables with coefficients in a number fie...
AbstractIn this article, we prove that there is no projective plane of order 12 admitting a collinea...
AbstractWe prove the algebraicity of the ratio of the Petersson norm of a holomorphic Hilbert modula...
AbstractWe present some properties of the distributions T of the form ∑i(δpi−δni), with ∑id(pi,ni)<∞...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn this short note, we discuss the Chebyshev's maximum principle in several variables. We sh...
We study the algebras of hermitian automorphic forms for the lattice $L_n=diag(1,1,\ldots,1,-1)$ and...