49 citations · 241 across the 22 of their papers we have counts for
22 papers
Short proofs of Ramanujan-like identities for the eighth order mock theta function
Eric T. Mortenson
Using Appell function properties we give short proofs of Ramanujan-like identities for the eighth order mock theta function after work of Chan and Mao; Mao; and Brietzke,…
A new Andrews--Crandall-type identity and the number of integer solutions to
Mariia Dospolova, Ekaterina Kochetkova, Eric T. Mortenson
Using a higher-dimensional analog of an identity known to Kronecker, we discover a new Andrews--Crandall-type identity and use it to count the number of integer solutions to $x^2+2…
Splitting Appell functions in terms of single quotients of theta functions
Eric T. Mortenson, Dilshod Urazov
Ramanujan's last letter to Hardy introduced the world to mock theta functions, and the mock theta function identities found in Ramanujan's lost notebook added to their intriguing n…
On Ramanujan's lost notebook and new tenth-order like identities for second-, sixth-, and eighth-order mock theta functions
Eric T. Mortenson
Ramanujan's lost notebook contains many mock theta functions and mock theta function identities not mentioned in his last letter to Hardy. For example, we find the four tenth-order…
Expressing -series in terms of building blocks of Hecke-type double-sums
Eric T. Mortenson, Ankit Sahu
We express recent double-sums studied by Wang, Yee, and Liu in terms of two types of Hecke-type double-sum building blocks. When possible we determine the (mock) modularity. We als…
The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy
Eric T. Mortenson, Sander Zwegers
We express a family of Hecke--Appell-type sums of Hikami and Lovejoy in terms of mixed mock modular forms; in particular, we express the sums in terms of Appell functions and theta…