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Bringmann, Lovejoy, and Osburn (2009, 2010) showed that the generating functions of the spt-overpartition functions $\bar{s p t} (n)$ , ${\bar{s p t}}_{1} (n)$ , ${\bar{s p t}}_{2} (n)$ , and M2spt(n) are quasimock theta functions, and satisfy a number of simple Ramanujan-like congruences. Andrews, Garvan, and Liang (2012) defined an spt-crank in terms of weighted vector partitions which combinatorially explain simple congruences modulo 5 and 7 for spt(n). Chen, Ji, and Zang (2013) were able to define this spt-crank in terms of ordinary partitions. In this...

The square of the Fermat quotient.

Granville, Andrew (2004)

Integers

The Square Sieve and Consecutive Square-Free Numbers.

D.R. Heath-Brown (1984)

Mathematische Annalen

The square-free kernel of $x^{2^{n}} - a^{2^{n}}$

Paulo Ribenboim (2002)

Acta Arithmetica

The star number of coverings of space with convex bodies

P. Erdös, C. Rogers (1964)

Acta Arithmetica

The Stickelberger element of an imaginary quadratic field

Peter Schmid (1999)

Acta Arithmetica

The strong primitive normal basis theorem

Stephen D. Cohen, Sophie Huczynska (2010)

Acta Arithmetica

The Strong Rigidity of Locally Symmetric Complex Manifolds of Rank One and Finite Volume.

J. Jost, S.-T. Yau (1986)

Mathematische Annalen

The strongly perfect lattices of dimension $10$

Gabriele Nebe, Boris Venkov (2000)

Journal de théorie des nombres de Bordeaux

This paper classifies the strongly perfect lattices in dimension $10$ . There are up to similarity two such lattices, $K_{10}^{'}$ and its dual lattice.

The structure of digraphs associated with the congruence $x^{k} \equiv y (mod n)$

Lawrence Somer, Michal Křížek (2011)

Czechoslovak Mathematical Journal

We assign to each pair of positive integers $n$ and $k \geq 2$ a digraph $G (n, k)$ whose set of vertices is $H = {0, 1, \dots, n - 1}$ and for which there is a directed edge from $a \in H$ to $b \in H$ if $a^{k} \equiv b (mod n)$ . We investigate the structure of $G (n, k)$ . In particular, upper bounds are given for the longest cycle in $G (n, k)$ . We find subdigraphs of $G (n, k)$ , called fundamental constituents of $G (n, k)$ , for which all trees attached to cycle vertices are isomorphic.

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The spectral mean value for linear forms in twisted coefficients of cusp forms

The spectrum and commutant of a certain weighted translation operator.

The Spectrum of Fermat Curves.

The sphere packing problem.

The splitting of primes in division fields of elliptic curves.

The spt-crank for overpartitions

The square of the Fermat quotient.

The Square Sieve and Consecutive Square-Free Numbers.

The square-free kernel of $x^{2^{n}} - a^{2^{n}}$

The star number of coverings of space with convex bodies

The Stickelberger element of an imaginary quadratic field

The strong primitive normal basis theorem

The Strong Rigidity of Locally Symmetric Complex Manifolds of Rank One and Finite Volume.

The strongly perfect lattices of dimension $10$

The structure of digraphs associated with the congruence $x^{k} \equiv y (mod n)$

The structure of higher-dimensional noncommutative tori and metric diophantine approximation.

The structure of maximal zero-sum free sequences

The structure of maximum subsets of ${1, \dots, n}$ with no solutions to $a + b = k c$ .

The structure of second order sequences in a finite field.

The structure of the 2-Sylow-subgroup of K2(...), I.

Currently displaying 901 – 920 of 1340