Even perfect numbers and their Euler's function.
Even Symmetric Sextics.
Even Unimodular 8-Dimensional Quadratic Forms Over Q(...2).
Every function is the representation function of an additive basis for the integers.
Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli.
Exact exponent in the remainder term of Gelfond's digit theorem in the binary case
Exact m-covers and the linear form
Exact Solution of Linear Equations Using P-Adic Expansions
Exact solutions to Waring's problem for finite fields
Examples of Eigenvalues of Hecke Operators on Siegel Cusp Forms of Degree Two.
Examples of ...-invariants.
Examples of Iwasawa invariants
Examples of Iwasawa invariants, II
Excellent connections in the motives of quadrics
In this article we prove the conjecture claiming that the motive of a real quadric is the “most decomposable” among anisotropic quadrics of given dimension over all fields. This imposes severe restrictions on the motive of arbitrary anisotropic quadric. As a corollary we estimate from below the rank of indecomposable direct summand in the motive of a quadric in terms of its dimension. This generalizes the well-known Binary Motive Theorem. Moreover, we have the description of the Tate motives involved....
Excellent special orthogonal groups.
Exceptional congruences for powers of the partition function
Exceptional groups of Lie type as Galois groups.
Exceptional modular form of weight 4 on an exceptional domain contained in C27.
Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multiples of 1/2, 1, 2, 4 for the Siegel, Hermitian, quaternion and exceptional cases, respectively. The θ-functions in the Siegel, Hermitian and quaternion cases provide examples of singular modular forms (Krieg [10]). Shimura [15] obtained a modular form of half-integral weight by analytically continuing an Eisenstein series. Bump and Bailey suggested the possibility of applying an analogue of Shimura's...
Exceptional sets in Waring's problem: two squares and s biquadrates
Let denote the number of representations of the positive number n as the sum of two squares and s biquadrates. When or 4, it is established that the anticipated asymptotic formula for holds for all with at most exceptions.
Exceptional units and cyclic resultants