The Maaß space for Cayley numbers.
Jacobi-Eisenstein series of degree two over Cayley numbers.
We shall develop the general theory of Jacobi forms of degree two over Cayley numbers and then construct a family of Jacobi- Eisenstein series which forms the orthogonal complement of the vector space of Jacobi cusp forms of degree two over Cayley numbers. The construction is based on a group representation arising from the transformation formula of a set of theta series.
The Maap space on the half-plane of Cayley numbers of degree two.
Euler sums with Dirichlet characters
On Bernoulli identities and applications.
Bernoulli numbers appear as special values of zeta functions at integers and identities relating the Bernoulli numbers follow as a consequence of properties of the corresponding zeta functions. The most famous example is that of the special values of the Riemann zeta function and the Bernoulli identities due to Euler. In this paper we introduce a general principle for producing Bernoulli identities and apply it to zeta functions considered by Shintani, Zagier and Eie. Our results include some of...
Explicit evaluations of quadruple Euler sums
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