Results 111 to 120 of about 2,297,981 (301)
The Bruinier--Funke pairing and the orthogonal complement of unary theta functions [PDF]
, 2016 We describe an algorithm for computing the inner product between a holomorphic modular form and a unary theta function, in order to determine whether the form is orthogonal to unary theta functions without needing a basis of the entire space of modular ...
Man, SH, Kane, BR
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Ramanujan's Theta Functions and Parity of Parts and Cranks of Partitions. [PDF]
Ann Comb, 2023 Banerjee K, Dastidar MG.
europepmc +1 more source
Advanced Engineering Materials, EarlyView.Dislocation cutting of γ′ precipitates in Ni‐based superalloys is investigated by linking atomistic simulations with discrete dislocation dynamics. The critical cutting stress is shown to be governed by the antiphase boundary energy, while line tension effects promote edge‐preferred cutting.
Frédéric Houllé +9 more
wiley +1 more source
Second Order Mock Theta Functions
, 2007 In his last letter to Hardy, Ramanujan defined 17 functions F(q), where |q| < 1. He called them mock theta functions, because as q radially approaches any point e2πir (r rational), there is a theta function Fr(q) with F(q) − Fr(q) = O(1).
Richard J. McIntosh
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Frontiers in Psychology, 2012 Language processing is commonly characterized by an event-related increase in theta power (4-7 Hz) in scalp EEG. Oscillatory brain dynamics underlying alcohol's effects on language are poorly understood despite impairments on verbal tasks. To investigate
Ksenija eMarinkovic +3 more
doaj +1 more source
Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]
Ramanujan J, 2021 Klein D, Kupka J.
europepmc +1 more source
A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
, 2021 © 2016, Springer Science+Business Media New York. We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions.
KAC, VICTOR G +2 more
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Identities for Certain Products of Theta Functions
, 2013 [[abstract]]We derive general formulas for certain products of theta functions.
Chen, Shu-Ling; Huang, Sen-Shan
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Identities involving theta functions and analogues of theta functions [PDF]
, 2013 My dissertation is mainly about various identities involving theta functions and analogues of theta functions. In Chapter 1, we give a completely elementary proof of Ramanujan's circular summation formula of theta functions and its generalizations given
Xu, Ping
core
Theta functions of binary quadratic forms with congruence conditions as ray class theta functions [PDF]
, 2021 We prove that theta functions of binary quadratic forms with congruence conditions coincide with theta functions attached to ray classes of quadratic elds.
Ryota Okano
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