Transactions of the American Mathematical Society, Vol. 362, No. 2 (FEBRUARY 2010), pp. 897-932 (36 pages) The Kodaira-Thurston manifold M is a compact, 4-dimensional nilmanifold which is symplectic ...

In his famous "deathbed" letter, Ramanujan "defined" the notion of a mock theta function and offered some examples of functions he believed satisfied his definition. Very recently, Griffin et al.

Abstract: We study relations between two fundamental constructions associated to vector bundles on a smooth complex projective curve; the theta function (a section of a line bundle on the moduli space ...

[3] B. C. Berndt and L.-C. Zhang, “Ramanujan’s Identities for Eta Functions,” Mathematische Annalen, Vol. 292, No. 1, 1992, pp. 561-573. doi:10.1007/BF01444636 ...

Abstract: A q-difference equation on eight shifted factorials of infinite order will be established. As consequences, we shall systematically explore triple products to give alternative proofs of the ...

Mock theta functions were introduced by Ramanujan in 1920. They have become a vivid area of research, and they continue to play important roles in different parts of mathematics and physics. In this ...

We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of ...

In his famous “deathbed” letter, Ramanujan “defined” the notion of a mock theta function and offered some examples of functions he believed satisfied his definition. Very recently, Griffin et al.