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  • Superimposing theta structure on a generalized modular relation 
    Dixit, Atul; Kumar, Rahul (Springer Nature, 2021-09)
    A generalized modular relation of the form F(z,w,?)=F(z,iw,?), where ??=1 and i=?1????, is obtained in the course of evaluating an integral involving the Riemann ?-function. This modular relation involves a surprising new ...
  • Numerical semigroups generated by concatenation of arithmetic sequences 
    Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (World Scientific Publishing, 2021-09)
    We introduce the notion of numerical semigroups generated by concatenation of arithmetic sequences and show that this class of numerical semigroups exhibit multiple interesting behaviors.
  • Differential modular forms over totally real fields of integral weights 
    Banerjee, Debargha; Saha, Arnab (Springer Nature, 2021-09)
    In this article, we construct a differential modular form of non-zero order and integral weight for compact Shimura curves over totally real fields bigger than Q. The construction uses the theory of lifting ordinary mod p ...

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